Details

Time bar (total: 1.2min)

analyze738.0ms (1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
0%0%74.9%25.1%0%0%0%1
0%0%74.9%25.1%0%0%0%2
25%18.7%56.2%25.1%0%0%0%3
50%37.5%37.5%25.1%0%0%0%4
56.3%42.1%32.8%25.1%0%0%0%5
62.5%46.8%28.1%25.1%0%0%0%6
64.1%48%26.9%25.1%0%0%0%7
65.6%49.2%25.8%25.1%0%0%0%8
66%49.5%25.5%25.1%0%0%0%9
66.4%49.8%25.2%25.1%0%0%0%10
66.4%49.8%25.2%25.1%0%0%0%11
66.5%49.8%25.1%25.1%0%0%0%12
Compiler

Compiled 127 to 112 computations (11.8% saved)

sample57.0s (77.9%)

Results
52.4s3968×body8192exit
4.4s8256×body256valid
58.0ms83×body256unsamplable
55.0ms83×body256infinite
Bogosity

preprocess43.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
503×associate-/r*_binary64
345×associate-/l*_binary64
337×associate-+l+_binary64
288×associate-+r+_binary64
271×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061156
1160147
2639119
34381115
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify35.0ms (0%)

Algorithm
1×egg-herbie
Rules
503×associate-/r*_binary64
345×associate-/l*_binary64
337×associate-+l+_binary64
288×associate-+r+_binary64
271×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061156
1160147
2639119
34381115
Stop Event
1×node limit
Counts
1 → 5
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

eval7.0ms (0%)

Compiler

Compiled 470 to 383 computations (18.5% saved)

prune7.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New145
Fresh101
Picked000
Done000
Total246
Error
0.2b
Counts
6 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Compiler

Compiled 350 to 293 computations (16.3% saved)

localize267.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓1.0b
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
✓1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 506 to 386 computations (23.7% saved)

series17.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
12.0ms
z
@-inf
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0ms
z
@0
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0ms
z
@inf
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0ms
z
@inf
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
1.0ms
z
@inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

rewrite81.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
521×add-cbrt-cube_binary64
520×add-exp-log_binary64
520×add-log-exp_binary64
520×log1p-expm1-u_binary64
520×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043100
11072100
Stop Event
1×node limit
Counts
4 → 45
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
Outputs
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simplify197.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
615×associate-+l+_binary64
471×associate-+r+_binary64
255×associate--r+_binary64
199×associate-*r/_binary64
195×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02522163
16982058
229191899
Stop Event
1×node limit
Counts
81 → 133
Calls
Call 1
Inputs
469507597606837/10000000000000
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(/.f64 5826188486005177/10000000000000 z)
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904816194325545171523082059/4200000000000000000000000
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646366562873259793/3000000000000000
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(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
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(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
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(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(/.f64 5826188486005177/10000000000000 z)
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(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))
(fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 z) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (*.f64 (*.f64 z z) 3071077024184708161128044520019/118540800000000000000000000000)))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 (*.f64 z (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 z) (+.f64 (*.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3)) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3) (*.f64 (*.f64 z z) 3071077024184708161128044520019/118540800000000000000000000000))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 (fma.f64 (*.f64 z z) 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (pow.f64 z 3) 58765508066033148908734538123333/6638284800000000000000000000000))))
(+.f64 (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000) (*.f64 (*.f64 z z) (+.f64 (*.f64 58765508066033148908734538123333/6638284800000000000000000000000 z) 3071077024184708161128044520019/118540800000000000000000000000)))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 15176929548346663410362579/25000000000000000000000 z)))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))
(neg.f64 (+.f64 (*.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (-.f64 (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

localize507.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
✓1.0b
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
✓1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 660 to 554 computations (16.1% saved)

series9.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@0
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms
z
@-inf
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms
z
@inf
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms
z
@inf
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
1.0ms
z
@inf
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))

rewrite94.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
648×add-log-exp_binary64
647×log1p-expm1-u_binary64
647×expm1-log1p-u_binary64
646×add-cbrt-cube_binary64
646×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051181
11318181
Stop Event
1×node limit
Counts
3 → 31
Calls
Call 1
Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
Outputs
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simplify101.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
320×times-frac_binary64
314×fma-def_binary64
307×associate-*r/_binary64
291×associate-/r*_binary64
287×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03133097
19872670
240602475
Stop Event
1×node limit
Counts
67 → 132
Calls
Call 1
Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
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(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (-.f64 1 (-.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (*.f64 (*.f64 (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (-.f64 1 (-.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (*.f64 (*.f64 (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (-.f64 1 (-.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (-.f64 1 (-.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (-.f64 1 (-.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (-.f64 1 (-.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)) (+.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))
(/.f64 (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (*.f64 -69565428553209127/540000000000000 (*.f64 z z))) -11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000))
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 z (*.f64 z -69565428553209127/540000000000000) -11173853963059511/30000000000000))
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (*.f64 -69565428553209127/540000000000000 (*.f64 z z)))) -11173853963059511/30000000000000)
(+.f64 (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000))
(+.f64 (*.f64 (*.f64 z z) (+.f64 -69565428553209127/540000000000000 (*.f64 -224122754235180443/3240000000000000 z))) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 4878157879447497/10000000000000 z))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3))) (/.f64 -107526188432174113/10000000000000 (pow.f64 z 4))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 4878157879447497/10000000000000 z))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (+.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (+.f64 (/.f64 (/.f64 2043081471118463/10000000000000 z) z) (/.f64 -19053539921092667/10000000000000 (pow.f64 z 3))) (/.f64 -107526188432174113/10000000000000 (pow.f64 z 4))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))
(*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(fma.f64 (fma.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)))) z (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)))
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(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

localize191.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 479 to 366 computations (23.6% saved)

series8.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms
z
@0
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
0.0ms
z
@inf
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))

rewrite81.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
697×add-log-exp_binary64
696×add-cbrt-cube_binary64
696×log1p-expm1-u_binary64
696×expm1-log1p-u_binary64
695×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058152
11439152
Stop Event
1×node limit
Counts
2 → 19
Calls
Call 1
Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 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simplify81.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
614×times-frac_binary64
466×associate-*l/_binary64
336×associate-/l*_binary64
312×associate-/r*_binary64
217×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02622901
17972802
236592625
Stop Event
1×node limit
Counts
43 → 88
Calls
Call 1
Inputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)))
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9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
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9999999999998099/10000000000000000
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Outputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))

localize331.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.8b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓5.2b
(+.f64 (-.f64 1 z) -1)
Compiler

Compiled 656 to 554 computations (15.5% saved)

series6.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
1.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
1.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
0.0ms
z
@inf
(+.f64 (-.f64 1 z) -1)
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))

rewrite55.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
377×add-sqr-sqrt_binary64
356×add-log-exp_binary64
355×add-cbrt-cube_binary64
355×pow1_binary64
354×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03370
178468
Stop Event
1×node limit
Counts
3 → 66
Calls
Call 1
Inputs
(+.f64 (-.f64 1 z) -1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 1 z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 2) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 (-.f64 1 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1)) (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (neg.f64 (+.f64 (-.f64 1 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 1 z) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 z) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 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z) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 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6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) 3) (pow.f64 (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))))) 1))))))

simplify96.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
481×unswap-sqr_binary64
427×associate-+l+_binary64
370×associate-+r+_binary64
146×associate-*l*_binary64
144×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02782285
17792007
228531898
Stop Event
1×node limit
Counts
102 → 126
Calls
Call 1
Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(-.f64 1 (-.f64 z -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) 1)
(*.f64 1 (+.f64 (-.f64 1 z) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 2) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 (-.f64 1 z) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1)) (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (neg.f64 (+.f64 (-.f64 1 z) 1)))
(pow.f64 (+.f64 (-.f64 1 z) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 2))
(log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 z) -1))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 z) -1)) 1))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 2))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 1) 2)))) (neg.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 1))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))))) 1)
(pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 1)
(pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) 3) (pow.f64 (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))))
(exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))))))
(exp.f64 (*.f64 (+.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))))) 1))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
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eval1.2s (1.7%)

Compiler

Compiled 50586 to 39920 computations (21.1% saved)

prune310.0ms (0.4%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New53325558
Fresh000
Picked101
Done213
Total53626562
Error
0.1b
Counts
562 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
62.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
62.8b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
2.9b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))
▶0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)) (+.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶2.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
55.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
1.3b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
63.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
0.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶1.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶1.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Compiler

Compiled 3575 to 2957 computations (17.3% saved)

localize593.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
1.0b
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
✓1.0b
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 960 to 816 computations (15% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms
z
@-inf
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms
z
@inf
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms
z
@inf
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
0.0ms
z
@-inf
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))

rewrite101.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
700×add-log-exp_binary64
699×log1p-expm1-u_binary64
699×expm1-log1p-u_binary64
698×add-cbrt-cube_binary64
698×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055162
11430162
Stop Event
1×node limit
Counts
2 → 18
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 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2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x /.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 7713234287776531/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (-.f64 1 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 7713234287776531/10000000000000) (+.f64 (-.f64 1 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))))))

simplify151.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
847×associate-+r+_binary64
487×*-commutative_binary64
400×+-commutative_binary64
300×times-frac_binary64
218×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02322617
17102255
229272083
Stop Event
1×node limit
Counts
42 → 78
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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59493983178131529437839794393961/900000000000000000000000000
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(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 2)))
(/.f64 (*.f64 7713234287776531/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (-.f64 1 z) 2))
(/.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 7713234287776531/10000000000000) (+.f64 (-.f64 1 z) 2))
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) 1)
(log.f64 (exp.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (*.f64 z (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(fma.f64 z (fma.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (*.f64 (-.f64 (neg.f64 (log.f64 15/2)) -14/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(+.f64 (*.f64 (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))))))) (pow.f64 z 2)) (+.f64 (*.f64 z (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(fma.f64 (fma.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))) (fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (fma.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2)))))))))) (*.f64 z z) (fma.f64 z (fma.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(fma.f64 (fma.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (exp.f64 -15/2) 1/2) (*.f64 (exp.f64 -15/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 64608921419941589693928044520019/118540800000000000000000000000)))) (*.f64 z z) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2)))))))
(fma.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (exp.f64 -15/2) (+.f64 (-.f64 -1/15 (log.f64 15/2)) 1/2)) (*.f64 (exp.f64 -15/2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))))) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) -14/15))) (*.f64 (sqrt.f64 15/2) 64608921419941589693928044520019/118540800000000000000000000000)))) (*.f64 z z) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (*.f64 (-.f64 (neg.f64 (log.f64 15/2)) -14/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
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(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 2)))
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)
(/.f64 (*.f64 7713234287776531/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (-.f64 1 z) 2))
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)
(/.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 7713234287776531/10000000000000) (+.f64 (-.f64 1 z) 2))
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) 1)
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)
(exp.f64 (log.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)))
(/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 2 (-.f64 1 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)

localize55.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (PI.f64) z)
✓0.3b
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓0.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 73 to 52 computations (28.8% saved)

series35.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
27.0ms
z
@inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
4.0ms
z
@0
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
1.0ms
z
@-inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
1.0ms
z
@0
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
1.0ms
z
@-inf
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite102.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
929×log-prod_binary64
311×expm1-udef_binary64
311×log1p-udef_binary64
256×log-pow_binary64
243×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01849
137047
2443247
Stop Event
1×node limit
Counts
3 → 82
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (PI.f64) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 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simplify151.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
604×distribute-rgt-in_binary64
592×distribute-lft-in_binary64
553×unswap-sqr_binary64
506×times-frac_binary64
251×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02872463
16942305
226492203
Stop Event
1×node limit
Counts
118 → 130
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (*.f64 -1/36 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (*.f64 -1/36 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (*.f64 -1/36 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/720 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5))))) (*.f64 -1/5040 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5)))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 1 z)
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
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(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))) 1)
(/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
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(/.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) 1) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2) (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 1))
(+.f64 0 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1))
(+.f64 0 (*.f64 (PI.f64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (*.f64 (PI.f64) z) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) z)))
(exp.f64 (log.f64 (*.f64 (PI.f64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) z)) 1))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
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(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) 3)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 1))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 0 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(+.f64 0 (*.f64 (PI.f64) z))
(*.f64 z (PI.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (PI.f64)))))
(*.f64 z (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) z))) 1)
(*.f64 z (PI.f64))
(pow.f64 (*.f64 (PI.f64) z) 1)
(*.f64 z (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)
(*.f64 z (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)
(*.f64 z (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2)
(*.f64 z (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))
(*.f64 z (PI.f64))
(log.f64 (pow.f64 (exp.f64 z) (PI.f64)))
(*.f64 z (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z))))
(*.f64 z (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))
(*.f64 z (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3)))
(*.f64 z (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3)))
(*.f64 z (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) z)) 1))
(*.f64 z (PI.f64))

localize175.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.6b
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 278 to 196 computations (29.5% saved)

series35.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
25.0ms
z
@-inf
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
3.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.0ms
z
@0
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))

rewrite109.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
470×add-sqr-sqrt_binary64
447×pow1_binary64
446×*-un-lft-identity_binary64
443×add-log-exp_binary64
442×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039131
1925131
Stop Event
1×node limit
Counts
2 → 12
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))))

simplify107.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
719×associate-*l/_binary64
516×associate-/l*_binary64
503×times-frac_binary64
358×associate-/r*_binary64
274×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02733039
18832870
235492718
Stop Event
1×node limit
Counts
36 → 86
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 23912966683069397/40000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))))
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(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (fma.f64 z (-.f64 (fma.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 116398943231708128692755172596971/118540800000000000000000000000)) (*.f64 (*.f64 -1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (PI.f64) 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000) (*.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1106209385320415913103082059/25200000000000000000000000)))))
(fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (fma.f64 z (*.f64 (exp.f64 -15/2) (-.f64 132009770077349838058465866613579/118540800000000000000000000000 (*.f64 (pow.f64 (PI.f64) 2) -1106209385320415913103082059/25200000000000000000000000))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 23912966683069397/40000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2) (fma.f64 (+.f64 (fma.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2) (fma.f64 23912966683069397/40000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 18100786465164971838668321711699/23708160000000000000000000000))) (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) (*.f64 z z) (fma.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2) (fma.f64 z (-.f64 (fma.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 116398943231708128692755172596971/118540800000000000000000000000)) (*.f64 (*.f64 -1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (PI.f64) 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(+.f64 (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000) (*.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1106209385320415913103082059/25200000000000000000000000))))) (*.f64 (+.f64 (fma.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) 32274097470086935718156321711699/23708160000000000000000000000)) (*.f64 (*.f64 1/6 (pow.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))) (*.f64 z z)))
(+.f64 (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (fma.f64 z (*.f64 (exp.f64 -15/2) (-.f64 132009770077349838058465866613579/118540800000000000000000000000 (*.f64 (pow.f64 (PI.f64) 2) -1106209385320415913103082059/25200000000000000000000000))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) 166574096298981915046018506564031/118540800000000000000000000000) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 -1/6 (exp.f64 -15/2)) -54901901787731453525296637639/78400000000000000000000000))) (*.f64 z z)))
(*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (PI.f64) (*.f64 z z)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (*.f64 z (PI.f64)))))
(*.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (/.f64 (*.f64 z (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (PI.f64) (*.f64 z z)))) (sin.f64 (*.f64 z (PI.f64)))))
(fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (*.f64 z (PI.f64)))) (/.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 z (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2)))))))
(fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (/.f64 (*.f64 z (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (*.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 z (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (PI.f64) (*.f64 z z)))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64)))))))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (PI.f64))) (fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (*.f64 z (PI.f64)))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))))))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 z (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (/.f64 (*.f64 z (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (exp.f64 (+.f64 -15/2 z)))))
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))))
(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (PI.f64) (*.f64 z z)))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64))))))))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (PI.f64))) (fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (*.f64 z (PI.f64)))) (fma.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (PI.f64) z) (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))))))))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 z (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (/.f64 (*.f64 z (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z)))))
(*.f64 3071077024184708161128044520019/118540800000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (PI.f64) (*.f64 z z)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (*.f64 z (PI.f64)))))
(*.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 (/.f64 (*.f64 z (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 -15/2 z))))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z (fma.f64 z 3071077024184708161128044520019/118540800000000000000000000000 17677775146260978562117317613/235200000000000000000000000) 904816194325545171523082059/4200000000000000000000000))))))
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(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z (fma.f64 z 3071077024184708161128044520019/118540800000000000000000000000 17677775146260978562117317613/235200000000000000000000000) 904816194325545171523082059/4200000000000000000000000))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z (fma.f64 z 3071077024184708161128044520019/118540800000000000000000000000 17677775146260978562117317613/235200000000000000000000000) 904816194325545171523082059/4200000000000000000000000))))))

localize218.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
1.0b
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
1.0b
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 456 to 345 computations (24.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
0.0ms
z
@inf
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
0.0ms
z
@-inf
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))

rewrite75.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
562×log-prod_binary64
377×fma-def_binary64
353×pow2_binary64
262×log-div_binary64
245×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
127416
2395216
Stop Event
1×node limit
Counts
1 → 79
Calls
Call 1
Inputs
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
Outputs
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simplify120.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
444×distribute-rgt-in_binary64
432×distribute-lft-in_binary64
377×associate-/r*_binary64
370×fma-def_binary64
328×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02772234
16802161
219772161
374642159
Stop Event
1×node limit
Counts
91 → 132
Calls
Call 1
Inputs
-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (*.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000)
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 1)
(-.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(*.f64 (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z))) (/.f64 1 (*.f64 (-.f64 4 z) (-.f64 5 z))))
(*.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (/.f64 1 (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))))
(*.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (/.f64 1 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 1 (/.f64 (*.f64 (-.f64 4 z) (-.f64 5 z)) (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)))))
(/.f64 (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z))) (*.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 -2208984797906190952107506988843/1000000000000000000000000000 (*.f64 (-.f64 4 z) (-.f64 5 z))))))
(/.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(/.f64 (neg.f64 (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)))) (neg.f64 (*.f64 (-.f64 4 z) (-.f64 5 z))))
(/.f64 (neg.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)))) (neg.f64 (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))))
(/.f64 (neg.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)))) (neg.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (+.f64 (-.f64 5 z) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) 2501468655737381/200000000000000)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.f64 5 z)))
(/.f64 (fma.f64 883075145810703/5000000000000 (-.f64 5 z) (*.f64 (neg.f64 (-.f64 4 z)) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 4 z)) (*.f64 (-.f64 4 z) (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000))))
(/.f64 (fma.f64 (-.f64 5 z) 200000000000000/2501468655737381 (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) 1)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000))))
(/.f64 (fma.f64 883075145810703/5000000000000 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) 1)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (neg.f64 (-.f64 5 z)) (*.f64 (-.f64 4 z) -2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (neg.f64 (-.f64 5 z))))
(/.f64 (fma.f64 -1 (-.f64 5 z) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) -2501468655737381/200000000000000)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (neg.f64 (-.f64 5 z))))
(/.f64 (fma.f64 883075145810703/5000000000000 (neg.f64 (-.f64 5 z)) (*.f64 (neg.f64 (-.f64 4 z)) -2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (neg.f64 (-.f64 5 z))))
(/.f64 (+.f64 (-.f64 4 z) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) -883075145810703/5000000000000)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 4 z)))
(/.f64 (fma.f64 -2501468655737381/200000000000000 (-.f64 4 z) (*.f64 (neg.f64 (-.f64 5 z)) -883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) (-.f64 4 z)))
(/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.f64 5 z)) (*.f64 (-.f64 5 z) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000))))
(/.f64 (fma.f64 (-.f64 4 z) -5000000000000/883075145810703 (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) 1)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000))))
(/.f64 (fma.f64 -2501468655737381/200000000000000 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) 1)) (*.f64 (neg.f64 (-.f64 5 z)) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000))))
(/.f64 (fma.f64 2501468655737381/200000000000000 (neg.f64 (-.f64 4 z)) (*.f64 (-.f64 5 z) 883075145810703/5000000000000)) (*.f64 (-.f64 5 z) (neg.f64 (-.f64 4 z))))
(/.f64 (fma.f64 -1 (-.f64 4 z) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) 883075145810703/5000000000000)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (neg.f64 (-.f64 4 z))))
(/.f64 (fma.f64 -2501468655737381/200000000000000 (neg.f64 (-.f64 4 z)) (*.f64 (neg.f64 (-.f64 5 z)) 883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) (neg.f64 (-.f64 4 z))))
(/.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (/.f64 (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z))) (-.f64 4 z)) (-.f64 5 z))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2)
(pow.f64 (/.f64 (*.f64 (-.f64 4 z) (-.f64 5 z)) (fma.f64 (-.f64 4 z) 2501468655737381/200000000000000 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)))) -1)
(pow.f64 (/.f64 (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (exp.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 1 (expm1.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 1 (expm1.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 1 (expm1.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 1 (expm1.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 883075145810703/5000000000000 (/.f64 1 (neg.f64 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 -2501468655737381/200000000000000 (/.f64 1 (neg.f64 (-.f64 5 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (/.f64 1 (-.f64 4 z)) -883075145810703/5000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (/.f64 1 (-.f64 5 z)) 2501468655737381/200000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 64 (pow.f64 z 3))) (fma.f64 z (+.f64 4 z) 16) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 16 (*.f64 z z))) (+.f64 4 z) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 125 (pow.f64 z 3))) (fma.f64 z (+.f64 z 5) 25) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 25 (*.f64 z z))) (+.f64 z 5) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
Outputs
-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000)
(-.f64 (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(+.f64 (fma.f64 -105381455914863113/10000000000000000 z (*.f64 -531910216885790327/200000000000000000 (*.f64 z z))) -41652288634797769/1000000000000000)
(fma.f64 -105381455914863113/10000000000000000 z (fma.f64 -531910216885790327/200000000000000000 (*.f64 z z) -41652288634797769/1000000000000000))
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(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
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(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
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(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
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(fma.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
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localize345.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
✓1.0b
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
✓1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 704 to 588 computations (16.5% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
0.0ms
z
@0
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
0.0ms
z
@-inf
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
0.0ms
z
@-inf
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
0.0ms
z
@inf
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))

rewrite82.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
352×add-sqr-sqrt_binary64
336×add-cbrt-cube_binary64
336×add-exp-log_binary64
336×add-log-exp_binary64
336×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02766
168966
Stop Event
1×node limit
Counts
3 → 139
Calls
Call 1
Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
Outputs
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simplify144.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
795×times-frac_binary64
532×div-sub_binary64
353×associate-/r*_binary64
309×fma-neg_binary64
240×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05895998
115885612
254815612
Stop Event
1×node limit
Counts
175 → 284
Calls
Call 1
Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
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-6251307572601308353/150000000000000000
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(/.f64 2053078212233992689/12500000000000000 z)
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371756020978964147/150000000000000000
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(/.f64 (+.f64 (*.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000)) (neg.f64 (-.f64 4 z))) (*.f64 (*.f64 (-.f64 5 z) (-.f64 1 (-.f64 z 5))) 883075145810703/5000000000000)) (*.f64 (*.f64 (-.f64 5 z) (-.f64 1 (-.f64 z 5))) (neg.f64 (-.f64 4 z))))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3))) (neg.f64 (-.f64 4 z))) (*.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) 2) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 5 z) (-.f64 1 (-.f64 z 5)))))) 883075145810703/5000000000000)) (*.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) 2) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 5 z) (-.f64 1 (-.f64 z 5)))))) (neg.f64 (-.f64 4 z))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) 2)) (neg.f64 (-.f64 4 z))) (*.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 883075145810703/5000000000000)) (*.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (neg.f64 (-.f64 4 z))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) 1))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(fma.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) 1)
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000)) (*.f64 (-.f64 5 z) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) 2) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 5 z) (-.f64 1 (-.f64 z 5)))))))
(/.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(/.f64 (neg.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000))) (neg.f64 (*.f64 (-.f64 5 z) (-.f64 1 (-.f64 z 5)))))
(/.f64 (neg.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3)))) (neg.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) 2) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 5 z) (-.f64 1 (-.f64 z 5))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) 2))) (neg.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(/.f64 (+.f64 (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000) (*.f64 (/.f64 (-.f64 5 z) 2501468655737381/200000000000000) 1)) (*.f64 (/.f64 (-.f64 5 z) 2501468655737381/200000000000000) (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000)))
(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000)) (*.f64 (-.f64 5 z) 1)) (*.f64 (-.f64 5 z) (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000)))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) 1)) (*.f64 (neg.f64 (-.f64 5 z)) (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000)))
(/.f64 (+.f64 (-.f64 1 (-.f64 z 5)) (*.f64 (/.f64 (-.f64 5 z) 2501468655737381/200000000000000) -3464277381643003/25000000000000000)) (*.f64 (/.f64 (-.f64 5 z) 2501468655737381/200000000000000) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5))) (*.f64 (neg.f64 (-.f64 5 z)) -3464277381643003/25000000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (*.f64 (/.f64 (-.f64 5 z) 2501468655737381/200000000000000) 3464277381643003/25000000000000000)) (*.f64 (/.f64 (-.f64 5 z) 2501468655737381/200000000000000) (neg.f64 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (neg.f64 (-.f64 1 (-.f64 z 5)))) (*.f64 (-.f64 5 z) 3464277381643003/25000000000000000)) (*.f64 (-.f64 5 z) (neg.f64 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (neg.f64 (-.f64 1 (-.f64 z 5)))) (*.f64 (neg.f64 (-.f64 5 z)) 3464277381643003/25000000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) (neg.f64 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (/.f64 (-.f64 5 z) 2501468655737381/200000000000000) (*.f64 (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000) 1)) (*.f64 (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000) (/.f64 (-.f64 5 z) 2501468655737381/200000000000000)))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (/.f64 (-.f64 5 z) 2501468655737381/200000000000000)) (*.f64 (-.f64 1 (-.f64 z 5)) 1)) (*.f64 (-.f64 1 (-.f64 z 5)) (/.f64 (-.f64 5 z) 2501468655737381/200000000000000)))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (/.f64 (-.f64 5 z) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) 1)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (/.f64 (-.f64 5 z) 2501468655737381/200000000000000)))
(/.f64 (+.f64 (-.f64 5 z) (*.f64 (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000) 2501468655737381/200000000000000)) (*.f64 (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000) (-.f64 5 z)))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (-.f64 5 z)) (*.f64 (-.f64 1 (-.f64 z 5)) 2501468655737381/200000000000000)) (*.f64 (-.f64 1 (-.f64 z 5)) (-.f64 5 z)))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (-.f64 5 z)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (-.f64 5 z)))
(/.f64 (+.f64 (neg.f64 (-.f64 5 z)) (*.f64 (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000) -2501468655737381/200000000000000)) (*.f64 (/.f64 (-.f64 1 (-.f64 z 5)) -3464277381643003/25000000000000000) (neg.f64 (-.f64 5 z))))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (neg.f64 (-.f64 5 z))) (*.f64 (-.f64 1 (-.f64 z 5)) -2501468655737381/200000000000000)) (*.f64 (-.f64 1 (-.f64 z 5)) (neg.f64 (-.f64 5 z))))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (neg.f64 (-.f64 5 z))) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) -2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (neg.f64 (-.f64 5 z))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 1))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 1 (-.f64 z 5))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)
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(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 5 z))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 5 z))))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 1 (-.f64 z 5))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 5 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 5 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 5 z))))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 5 z))))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 5 z))))

eval1.7s (2.4%)

Compiler

Compiled 76277 to 60007 computations (21.3% saved)

prune328.0ms (0.4%)

Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New91622938
Fresh71320
Picked101
Done325
Total92737964
Error
0b
Counts
964 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
2.8b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 3)
2.3b
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
2.0b
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
2.5b
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 2))) (*.f64 (pow.f64 (PI.f64) 3/2) 1106209385320415913103082059/4200000000000000000000000))
62.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
62.8b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))
55.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))
1.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 59493983178131529437839794393961/900000000000000000000000000 (*.f64 z 59493983178131529437839794393961/1350000000000000000000000000))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)) (+.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
▶2.5b
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
1.3b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
▶1.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (-.f64 2 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
63.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
0.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓1.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶1.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (+.f64 (-.f64 4 z) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) -883075145810703/5000000000000)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64)))))))
2.4b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
▶2.5b
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
2.1b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
2.2b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
2.0b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
Compiler

Compiled 3598 to 2970 computations (17.5% saved)

localize424.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
✓1.0b
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.5b
(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)
Compiler

Compiled 1364 to 1173 computations (14% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)
1.0ms
z
@inf
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)
1.0ms
z
@0
(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)
0.0ms
z
@0
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)
0.0ms
z
@-inf
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)

rewrite92.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
402×expm1-udef_binary64
401×log1p-udef_binary64
238×add-sqr-sqrt_binary64
229×add-cbrt-cube_binary64
229×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02051
149839
2681639
Stop Event
1×node limit
Counts
3 → 118
Calls
Call 1
Inputs
(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)
(*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -883075145810703/5000000000000 (*.f64 (/.f64 1 (-.f64 4 z)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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simplify100.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
501×fma-def_binary64
466×associate-/l/_binary64
359×associate-/r/_binary64
259×unswap-sqr_binary64
165×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03802525
19832497
232722474
Stop Event
1×node limit
Counts
154 → 200
Calls
Call 1
Inputs
-688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000
(-.f64 (*.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z) 688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)
(-.f64 (+.f64 (*.f64 -2065923519135141531109839301284024066270896781/64000000000000000000000000000000000000000 (pow.f64 z 2)) (*.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z)) 688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)
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(*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3/2) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2) 3) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 3) (pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 3))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) 1) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2)) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(/.f64 (pow.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 6 z) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000)) 3) (pow.f64 (*.f64 (-.f64 5 z) (-.f64 6 z)) 3))
(/.f64 (pow.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 6 z) 3))) 3) (pow.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3))
(/.f64 (pow.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 6 z) 2))) 3) (pow.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3))
(/.f64 (*.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 6 z) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000)) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2)) (*.f64 (-.f64 5 z) (-.f64 6 z)))
(/.f64 (*.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 6 z) 3))) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2)) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (*.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 6 z) 2))) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (fma.f64 2501468655737381/200000000000000 (-.f64 6 z) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000))) (*.f64 (-.f64 5 z) (-.f64 6 z)))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 6 z) 3)))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 6 z) 2)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))) 1)
(/.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (-.f64 4 z)))
(/.f64 -883075145810703/5000000000000 (*.f64 (-.f64 4 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 -883075145810703/5000000000000 (/.f64 (-.f64 4 z) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 1 (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 1 (/.f64 (pow.f64 (-.f64 4 z) 2) 779821713148594364211109354209/25000000000000000000000000))
(/.f64 1 (/.f64 (-.f64 4 z) (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z))))
(/.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (*.f64 (neg.f64 (-.f64 4 z)) (neg.f64 (-.f64 4 z))))
(/.f64 883075145810703/5000000000000 (*.f64 (neg.f64 (-.f64 4 z)) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 883075145810703/5000000000000 (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (neg.f64 (-.f64 4 z))))
(/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z))
(/.f64 -779821713148594364211109354209/25000000000000000000000000 (neg.f64 (pow.f64 (-.f64 4 z) 2)))
(/.f64 -779821713148594364211109354209/25000000000000000000000000 (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 4 z)))
(/.f64 -779821713148594364211109354209/25000000000000000000000000 (*.f64 (-.f64 4 z) (neg.f64 (-.f64 4 z))))
(/.f64 (neg.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z))) (neg.f64 (-.f64 4 z)))
(/.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) 1) (-.f64 4 z))
(/.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (pow.f64 (cbrt.f64 (-.f64 4 z)) 2)) (cbrt.f64 (-.f64 4 z)))
(/.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (sqrt.f64 (-.f64 4 z))) (sqrt.f64 (-.f64 4 z)))
(/.f64 (*.f64 883075145810703/5000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (neg.f64 (-.f64 4 z)))
(/.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 883075145810703/5000000000000) (neg.f64 (-.f64 4 z)))
(pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)
(pow.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) 1)
(pow.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 6) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) 3)
(sqrt.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 4))
(log.f64 (exp.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))))
(cbrt.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 6))
(expm1.f64 (log1p.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))
(log1p.f64 (expm1.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))
(exp.f64 (log.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) 1))
Outputs
-688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000
(-.f64 (*.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z) 688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)
(fma.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z -688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)
(-.f64 (+.f64 (*.f64 -2065923519135141531109839301284024066270896781/64000000000000000000000000000000000000000 (pow.f64 z 2)) (*.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z)) 688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)
(+.f64 (*.f64 -2065923519135141531109839301284024066270896781/64000000000000000000000000000000000000000 (*.f64 z z)) (fma.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z -688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000))
(fma.f64 -2065923519135141531109839301284024066270896781/64000000000000000000000000000000000000000 (*.f64 z z) (fma.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z -688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000))
(fma.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z (fma.f64 (*.f64 -2065923519135141531109839301284024066270896781/64000000000000000000000000000000000000000 z) z -688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000))
(-.f64 (+.f64 (*.f64 -688641173045047177036613100428008022090298927/51200000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -2065923519135141531109839301284024066270896781/64000000000000000000000000000000000000000 (pow.f64 z 2)) (*.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z))) 688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)
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(fma.f64 -688641173045047177036613100428008022090298927/51200000000000000000000000000000000000000 (pow.f64 z 3) (fma.f64 -2065923519135141531109839301284024066270896781/64000000000000000000000000000000000000000 (*.f64 z z) (fma.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z -688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)))
(fma.f64 -688641173045047177036613100428008022090298927/51200000000000000000000000000000000000000 (pow.f64 z 3) (fma.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z (fma.f64 (*.f64 -2065923519135141531109839301284024066270896781/64000000000000000000000000000000000000000 z) z -688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)))
(/.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 z 3))
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(+.f64 (*.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2065923519135141531109839301284024066270896781/3906250000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))))
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(+.f64 (/.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 2065923519135141531109839301284024066270896781/3906250000000000000000000000000000000 (pow.f64 z 5)) (+.f64 (/.f64 688641173045047177036613100428008022090298927/195312500000000000000000000000000000 (pow.f64 z 6)) (/.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (pow.f64 z 4)))))
(/.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 z 3))
(+.f64 (*.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (pow.f64 z 4)))
(+.f64 (*.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2065923519135141531109839301284024066270896781/3906250000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))))
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(/.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 6 z) 2))) (/.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2)))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 -12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 6 z) 2))))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (fma.f64 2501468655737381/200000000000000 (-.f64 6 z) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000))) (*.f64 (-.f64 5 z) (-.f64 6 z)))
(/.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (/.f64 (*.f64 (-.f64 5 z) (-.f64 6 z)) (fma.f64 2501468655737381/200000000000000 (-.f64 6 z) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000))))
(*.f64 (/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 6 z) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000)) (*.f64 (-.f64 5 z) (-.f64 6 z))) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 6 z) 3)))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (/.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 6 z) 3)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (fma.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)))) (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 6 z) 3))))
(/.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (/.f64 (fma.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2))) (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 6 z) 3)))))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 6 z) 2)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(/.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 6 z) 2))) (/.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2)))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 5 z) 2)) (/.f64 -12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 6 z) 2))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 6))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3) 3))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)
(exp.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))) 1)
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 -883075145810703/5000000000000 (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (-.f64 4 z)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 -883075145810703/5000000000000 (*.f64 (-.f64 4 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 -883075145810703/5000000000000 (/.f64 (-.f64 4 z) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 1 (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 1 (/.f64 (pow.f64 (-.f64 4 z) 2) 779821713148594364211109354209/25000000000000000000000000))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 1 (/.f64 (-.f64 4 z) (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z))))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (*.f64 (neg.f64 (-.f64 4 z)) (neg.f64 (-.f64 4 z))))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 883075145810703/5000000000000 (*.f64 (neg.f64 (-.f64 4 z)) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 883075145810703/5000000000000 (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (neg.f64 (-.f64 4 z))))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 -779821713148594364211109354209/25000000000000000000000000 (neg.f64 (pow.f64 (-.f64 4 z) 2)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 -779821713148594364211109354209/25000000000000000000000000 (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 4 z)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 -779821713148594364211109354209/25000000000000000000000000 (*.f64 (-.f64 4 z) (neg.f64 (-.f64 4 z))))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 (neg.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z))) (neg.f64 (-.f64 4 z)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) 1) (-.f64 4 z))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (pow.f64 (cbrt.f64 (-.f64 4 z)) 2)) (cbrt.f64 (-.f64 4 z)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (sqrt.f64 (-.f64 4 z))) (sqrt.f64 (-.f64 4 z)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 (*.f64 883075145810703/5000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (neg.f64 (-.f64 4 z)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(/.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 883075145810703/5000000000000) (neg.f64 (-.f64 4 z)))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(pow.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) 1)
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(pow.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 6))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) 3)
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(sqrt.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 4))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(log.f64 (exp.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(cbrt.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 6))
(expm1.f64 (log1p.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(log1p.f64 (expm1.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(exp.f64 (log.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) 1))
(/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))

localize29.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 61 to 54 computations (11.5% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
1.0ms
z
@0
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
0.0ms
z
@-inf
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))

rewrite60.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
785×log-prod_binary64
388×pow2_binary64
365×pow-unpow_binary64
277×pow1/3_binary64
271×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01723
134321
2389621
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 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simplify55.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
700×log-prod_binary64
477×associate-*l*_binary64
470×times-frac_binary64
446×associate-*r*_binary64
274×log-div_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01171050
1257919
2802919
35338917
Stop Event
1×node limit
Counts
49 → 62
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(/.f64 1 (/.f64 z (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
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(/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (/.f64 z (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))))))
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1106209385320415913103082059/4200000000000000000000000) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))
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(/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (*.f64 -1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))) (neg.f64 z))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) -1) (neg.f64 z))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 1)
(pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 2)
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(pow.f64 (*.f64 (pow.f64 (/.f64 1 z) 3) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3)) 1/3)
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(sqrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 z) 3) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) 3) (pow.f64 (/.f64 1 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
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Outputs
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) z))
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(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 1))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64))))
✓1.0b
(*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
✓1.0b
(*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
✓1.0b
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))
Compiler

Compiled 72 to 53 computations (26.4% saved)

series4.0ms (0%)

Counts
4 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
z
@0
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64))))
1.0ms
z
@inf
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64))))
1.0ms
z
@-inf
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64))))

rewrite88.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
700×log-prod_binary64
348×pow2_binary64
287×pow-unpow_binary64
249×prod-diff_binary64
246×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01461
128749
2341749
Stop Event
1×node limit
Counts
4 → 114
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))
(*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 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(2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (log.f64 (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (exp.f64 -15)) 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pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 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simplify83.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
504×distribute-rgt-in_binary64
488×distribute-lft-in_binary64
457×associate-/l*_binary64
448×unswap-sqr_binary64
336×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03152535
16882418
223452335
Stop Event
1×node limit
Counts
126 → 166
Calls
Call 1
Inputs
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) -2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -1/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))) 1))
Outputs
(*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 (PI.f64) 3))) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 (PI.f64) 3))) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(fma.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (*.f64 1/6 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 (PI.f64) 3)))))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 (PI.f64) 3))) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 3))) (*.f64 -1/36 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 3)))) (pow.f64 z 3))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 (PI.f64) 3))) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)) (fma.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 3)) -7/360) (pow.f64 z 3))))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (*.f64 1/6 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 (PI.f64) 3))))))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (*.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 3)) (*.f64 -7/360 (pow.f64 z 3)))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 (PI.f64) 3))) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)) (fma.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (*.f64 (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 3))) 7/360))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 (PI.f64) 3))) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 3))) (*.f64 -1/36 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 3)))) (pow.f64 z 3)))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/720 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 3))) (*.f64 -1/36 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (*.f64 -1/5040 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 (PI.f64) 5))))) (pow.f64 z 5)) (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))))))))
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(sqrt.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -3))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -1)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1) -1)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z))))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -3))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))) 1))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z)))

localize88.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.6b
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 245 to 171 computations (30.2% saved)

series9.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.0ms
z
@0
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.0ms
z
@-inf
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))

rewrite61.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
430×add-sqr-sqrt_binary64
409×pow1_binary64
408×*-un-lft-identity_binary64
405×add-log-exp_binary64
404×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036119
1848115
Stop Event
1×node limit
Counts
2 → 16
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 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904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 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simplify74.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
811×times-frac_binary64
592×associate-/l*_binary64
428×associate-/r*_binary64
258×associate-*r*_binary64
229×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02673132
18653005
236602812
Stop Event
1×node limit
Counts
40 → 89
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2076511864126339/4000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 2076511864126339/4000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 23912966683069397/40000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2076511864126339/4000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z))) (*.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2076511864126339/4000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
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(fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) 51166148036970289641800723053/47040000000000000000000000) (*.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1106209385320415913103082059/25200000000000000000000000)))))
(fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (fma.f64 z (*.f64 (exp.f64 -15/2) (-.f64 51166148036970289641800723053/47040000000000000000000000 (*.f64 (pow.f64 (PI.f64) 2) -1106209385320415913103082059/25200000000000000000000000))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
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(*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 z (PI.f64)))))
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(fma.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 z (PI.f64)))) (*.f64 909016194325544373103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
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(fma.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 909016194325544373103082059/4200000000000000000000000)))
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(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 z (PI.f64)))) (*.f64 909016194325544373103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (PI.f64))) (fma.f64 909016194325544373103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)) (*.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)))))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z))))
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(fma.f64 5826188486005177/10000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 z (PI.f64)))) (fma.f64 3683516130645841/2000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (*.f64 z z))) (*.f64 909016194325544373103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))))
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(fma.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (PI.f64))) (fma.f64 3683516130645841/2000000000000 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z z))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 909016194325544373103082059/4200000000000000000000000 (/.f64 5826188486005177/10000000000000 z)))))
(*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 17677775146260978562117317613/235200000000000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 z (PI.f64)))))
(*.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (PI.f64))))
(*.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 z (PI.f64))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)))))
(*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)))))
(*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)))))
(*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)))))
(*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (exp.f64 (-.f64 z 15/2)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)))))
(*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 17677775146260978562117317613/235200000000000000000000000 904816194325545171523082059/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))))

localize161.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.6b
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
✓1.0b
(/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.3b
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)))
Compiler

Compiled 458 to 340 computations (25.8% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms
z
@-inf
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms
z
@inf
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms
z
@inf
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)))
0.0ms
z
@0
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)))

rewrite92.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
464×add-sqr-sqrt_binary64
442×*-un-lft-identity_binary64
442×pow1_binary64
440×add-log-exp_binary64
439×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038159
1917159
Stop Event
1×node limit
Counts
3 → 30
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)))
(/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
Outputs
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simplify78.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
837×fma-def_binary64
754×distribute-rgt-in_binary64
729×distribute-lft-in_binary64
219×times-frac_binary64
134×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02632599
17282523
227622454
Stop Event
1×node limit
Counts
66 → 122
Calls
Call 1
Inputs
1226438334233888353634414524801/20000000000000000000000000
(+.f64 1226438334233888353634414524801/20000000000000000000000000 (*.f64 25950086259773267355400515192103/50000000000000000000000000 z))
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(/.f64 -112775175860453511755198582784583/100000000000000000000000000 (pow.f64 z 2))
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(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(pow.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))
(exp.f64 (log.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 1 z))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))
Outputs
1226438334233888353634414524801/20000000000000000000000000
(+.f64 1226438334233888353634414524801/20000000000000000000000000 (*.f64 25950086259773267355400515192103/50000000000000000000000000 z))
(fma.f64 25950086259773267355400515192103/50000000000000000000000000 z 1226438334233888353634414524801/20000000000000000000000000)
(+.f64 1226438334233888353634414524801/20000000000000000000000000 (+.f64 (*.f64 25950086259773267355400515192103/50000000000000000000000000 z) (*.f64 13447137582778192555880526178557/12500000000000000000000000 (pow.f64 z 2))))
(+.f64 1226438334233888353634414524801/20000000000000000000000000 (fma.f64 25950086259773267355400515192103/50000000000000000000000000 z (*.f64 13447137582778192555880526178557/12500000000000000000000000 (*.f64 z z))))
(+.f64 1226438334233888353634414524801/20000000000000000000000000 (fma.f64 25950086259773267355400515192103/50000000000000000000000000 z (*.f64 z (*.f64 z 13447137582778192555880526178557/12500000000000000000000000))))
(fma.f64 25950086259773267355400515192103/50000000000000000000000000 z (fma.f64 z (*.f64 z 13447137582778192555880526178557/12500000000000000000000000) 1226438334233888353634414524801/20000000000000000000000000))
(+.f64 1226438334233888353634414524801/20000000000000000000000000 (+.f64 (*.f64 25950086259773267355400515192103/50000000000000000000000000 z) (+.f64 (*.f64 81627014402452273091643694236353/50000000000000000000000000 (pow.f64 z 3)) (*.f64 13447137582778192555880526178557/12500000000000000000000000 (pow.f64 z 2)))))
(+.f64 1226438334233888353634414524801/20000000000000000000000000 (fma.f64 25950086259773267355400515192103/50000000000000000000000000 z (fma.f64 81627014402452273091643694236353/50000000000000000000000000 (pow.f64 z 3) (*.f64 13447137582778192555880526178557/12500000000000000000000000 (*.f64 z z)))))
(+.f64 1226438334233888353634414524801/20000000000000000000000000 (fma.f64 25950086259773267355400515192103/50000000000000000000000000 z (fma.f64 13447137582778192555880526178557/12500000000000000000000000 (*.f64 z z) (*.f64 81627014402452273091643694236353/50000000000000000000000000 (pow.f64 z 3)))))
(+.f64 1226438334233888353634414524801/20000000000000000000000000 (fma.f64 81627014402452273091643694236353/50000000000000000000000000 (pow.f64 z 3) (*.f64 z (+.f64 25950086259773267355400515192103/50000000000000000000000000 (*.f64 z 13447137582778192555880526178557/12500000000000000000000000)))))
(/.f64 -112775175860453511755198582784583/100000000000000000000000000 (pow.f64 z 2))
(/.f64 -112775175860453511755198582784583/100000000000000000000000000 (*.f64 z z))
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(neg.f64 (+.f64 (/.f64 271318332569284116453026123329367/50000000000000000000000000 (pow.f64 z 3)) (/.f64 112775175860453511755198582784583/100000000000000000000000000 (*.f64 z z))))
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(/.f64 -112775175860453511755198582784583/100000000000000000000000000 (pow.f64 z 2))
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(-.f64 (+.f64 (/.f64 -271318332569284116453026123329367/50000000000000000000000000 (pow.f64 z 3)) (/.f64 -112775175860453511755198582784583/100000000000000000000000000 (*.f64 z z))) (+.f64 (/.f64 353042787592167195509208722651361/20000000000000000000000000 (pow.f64 z 4)) (/.f64 1222577272822267744639991366598071/25000000000000000000000000 (pow.f64 z 5))))
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469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)))
(fma.f64 (*.f64 z z) 2076511864126339/4000000000000 (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000))
(fma.f64 z 904338909853211/2500000000000 (fma.f64 z (*.f64 z 2076511864126339/4000000000000) 469507597606837/10000000000000))
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(fma.f64 (*.f64 z z) 2076511864126339/4000000000000 (fma.f64 (pow.f64 z 3) 23912966683069397/40000000000000 (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 z 904338909853211/2500000000000 (fma.f64 (pow.f64 z 3) 23912966683069397/40000000000000 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
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eval864.0ms (1.2%)

Compiler

Compiled 59186 to 47295 computations (20.1% saved)

prune212.0ms (0.3%)

Pruning

44 alts after pruning (40 fresh and 4 done)

PrunedKeptTotal
New71018728
Fresh82230
Picked011
Done336
Total72144765
Error
0b
Counts
765 → 44
Alt Table
Click to see full alt table
StatusErrorProgram
2.8b
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
▶2.5b
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
2.0b
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
2.0b
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
62.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
62.8b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))
▶55.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
1.4b
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1.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 59493983178131529437839794393961/900000000000000000000000000 (*.f64 z 59493983178131529437839794393961/1350000000000000000000000000))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)) (+.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z)) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
1.8b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.3b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))))
2.4b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
✓1.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (-.f64 2 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
63.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶0.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓1.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓1.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (+.f64 (-.f64 4 z) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) -883075145810703/5000000000000)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.4b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
2.6b
(*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
2.6b
(*.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))
2.8b
(*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) z)))
2.2b
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
2.1b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
2.0b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
2.2b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
46.6b
(sqrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)))
46.6b
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
63.9b
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
31.8b
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
▶31.8b
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
Compiler

Compiled 3616 to 3011 computations (16.7% saved)

localize414.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
1.0b
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.5b
(pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)
Compiler

Compiled 1325 to 1132 computations (14.6% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
✓1.0b
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)
✓1.0b
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
✓1.0b
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
Compiler

Compiled 33 to 28 computations (15.2% saved)

series2.0ms (0%)

Counts
4 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
1.0ms
z
@inf
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
1.0ms
z
@-inf
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

rewrite80.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
496×log-prod_binary64
376×exp-prod_binary64
336×prod-exp_binary64
296×pow-prod-down_binary64
252×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01043
120543
2248343
Stop Event
1×node limit
Counts
4 → 127
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
Outputs
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simplify104.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
772×fma-neg_binary64
363×associate-*l/_binary64
323×associate-*r/_binary64
296×associate-/r*_binary64
264×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03242166
17802081
227132064
377402064
Stop Event
1×node limit
Counts
139 → 178
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
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(*.f64 (/.f64 1 z) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) z))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) z))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(*.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/4) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 z z))) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (cbrt.f64 z)))
(*.f64 (pow.f64 z -1/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sqrt.f64 z)) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (sqrt.f64 z)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 1)
(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (pow.f64 z -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 2)
(pow.f64 (/.f64 z (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 z 3)) 1/3)
(pow.f64 (/.f64 (/.f64 z (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (neg.f64 z)))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (pow.f64 z -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 z 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 3) (pow.f64 (neg.f64 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) -1))
Outputs
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(+.f64 0 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1)
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(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
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(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))
(*.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)))
(pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/2)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) 1/3)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (exp.f64 -30))) 1/4)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3) 1/6)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) 3)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
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(*.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/4) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/4) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/4) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/4) (*.f64 z z))) (/.f64 (*.f64 (exp.f64 -15/4) (pow.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) 1/4)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 z z))) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (cbrt.f64 z) (exp.f64 -15/2))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 z z))) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (cbrt.f64 z)) (exp.f64 -15/2)))
(*.f64 (pow.f64 z -1/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sqrt.f64 z)))
(*.f64 (pow.f64 z -1/2) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 z -1/2) (sqrt.f64 z)) (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sqrt.f64 z)) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (sqrt.f64 z)) (/.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1/6) (sqrt.f64 z)))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (sqrt.f64 z) (exp.f64 -15/2))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 z)) (exp.f64 -15/2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 1)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (pow.f64 z -2)) 1/2)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2))))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3) 1/3)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 2)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (/.f64 z (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) -1)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (E.f64) (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 z 3)) 1/3)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (/.f64 (/.f64 z (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1) -1)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) (neg.f64 z)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (pow.f64 z -2)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2))))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z) 3))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2) (pow.f64 z 3)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 3) (pow.f64 (neg.f64 z) 3)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 1/3))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 3))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z))) 2))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) -1))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))
✓1.0b
(*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))
✓1.0b
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))
✓3.2b
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
Compiler

Compiled 85 to 75 computations (11.8% saved)

series1.0ms (0%)

Counts
4 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
0.0ms
z
@-inf
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
0.0ms
z
@inf
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))

rewrite96.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
736×log-prod_binary64
365×pow2_binary64
311×pow-unpow_binary64
258×expm1-udef_binary64
258×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01652
131843
2363443
Stop Event
1×node limit
Counts
4 → 149
Calls
Call 1
Inputs
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))))
(*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))
(*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))
Outputs
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simplify103.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
768×fma-def_binary64
316×sqr-pow_binary64
309×associate-/l/_binary64
273×associate-/r/_binary64
215×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03653307
18013173
229663090
Stop Event
1×node limit
Counts
161 → 237
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(+.f64 0 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (/.f64 1 z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z) 1)
(*.f64 1 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)) (cbrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/6) (/.f64 1 z)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (/.f64 1 z)))
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(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) z))
(*.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (cbrt.f64 z)))
(*.f64 (pow.f64 z -1/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) (sqrt.f64 z)) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/6) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 z)) (/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) (sqrt.f64 z)))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))))) (pow.f64 (exp.f64 1) (neg.f64 (log.f64 z))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
(/.f64 1 (/.f64 z (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))))
(/.f64 1 (/.f64 (/.f64 z (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))) 1))
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(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) (/.f64 z (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) 2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 3/2) 2/3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/6) 6)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) 4)
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3) (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3) (pow.f64 (*.f64 (PI.f64) 2) 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3) (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3) (pow.f64 (*.f64 (PI.f64) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (+.f64 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) -15)))
(exp.f64 (*.f64 (+.f64 (log.f64 (PI.f64)) (+.f64 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) -15)) 1))
(+.f64 0 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 1)
(pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1)
(pow.f64 (*.f64 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (exp.f64 -30)) 1/2)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3) 1/3)
(pow.f64 (*.f64 (cbrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -5)) 3)
(pow.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) 2)
(sqrt.f64 (*.f64 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (exp.f64 -30)))
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(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(exp.f64 (*.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1))
Outputs
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
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(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 3/2)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 2) 1/2)
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 3) 1/3)
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/6) 6)
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) 3)
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 1/4) 4)
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3) (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3)) 1/3)
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 8) (*.f64 (pow.f64 (exp.f64 -15) 3) 1832415820932632971391193416355286744526132622001958888043672268078501264340503703316478545917832724771419984295993373442946948984620038556185147485886574177641641/13011038208000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 8 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3) (*.f64 (pow.f64 (exp.f64 -15) 3) 1832415820932632971391193416355286744526132622001958888043672268078501264340503703316478545917832724771419984295993373442946948984620038556185147485886574177641641/13011038208000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(pow.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3) (pow.f64 (*.f64 (PI.f64) 2) 3)) 1/3)
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 8) (*.f64 (pow.f64 (exp.f64 -15) 3) 1832415820932632971391193416355286744526132622001958888043672268078501264340503703316478545917832724771419984295993373442946948984620038556185147485886574177641641/13011038208000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 8 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3) (*.f64 (pow.f64 (exp.f64 -15) 3) 1832415820932632971391193416355286744526132622001958888043672268078501264340503703316478545917832724771419984295993373442946948984620038556185147485886574177641641/13011038208000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 2))
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15)))
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))))))
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) 3))
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3) (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 8) (*.f64 (pow.f64 (exp.f64 -15) 3) 1832415820932632971391193416355286744526132622001958888043672268078501264340503703316478545917832724771419984295993373442946948984620038556185147485886574177641641/13011038208000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 8 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3) (*.f64 (pow.f64 (exp.f64 -15) 3) 1832415820932632971391193416355286744526132622001958888043672268078501264340503703316478545917832724771419984295993373442946948984620038556185147485886574177641641/13011038208000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3) (pow.f64 (*.f64 (PI.f64) 2) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 8) (*.f64 (pow.f64 (exp.f64 -15) 3) 1832415820932632971391193416355286744526132622001958888043672268078501264340503703316478545917832724771419984295993373442946948984620038556185147485886574177641641/13011038208000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 8 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3) (*.f64 (pow.f64 (exp.f64 -15) 3) 1832415820932632971391193416355286744526132622001958888043672268078501264340503703316478545917832724771419984295993373442946948984620038556185147485886574177641641/13011038208000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))))
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))))
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (+.f64 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) -15)))
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(exp.f64 (*.f64 (+.f64 (log.f64 (PI.f64)) (+.f64 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) -15)) 1))
(*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))
(+.f64 0 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 1)
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1)
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(pow.f64 (*.f64 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (exp.f64 -30)) 1/2)
(sqrt.f64 (*.f64 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (exp.f64 -30)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3) 1/3)
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(pow.f64 (*.f64 (cbrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -5)) 3)
(*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 -5) 3))
(pow.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15/2)) 2)
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(sqrt.f64 (*.f64 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (exp.f64 -30)))
(log.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (exp.f64 -15)))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 3))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(exp.f64 (*.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1))
(*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
0.3b
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓1.0b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 113 to 76 computations (32.7% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
1.0ms
z
@-inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
1.0ms
z
@inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
1.0ms
z
@0
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))
0.0ms
z
@inf
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))

rewrite70.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
422×expm1-udef_binary64
422×log1p-udef_binary64
400×prod-diff_binary64
243×add-sqr-sqrt_binary64
233×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02264
148864
2631464
Stop Event
1×node limit
Counts
2 → 42
Calls
Call 1
Inputs
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) 3) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000)) (+.f64 z -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000)) (+.f64 z -15/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 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simplify61.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
979×fma-def_binary64
653×distribute-rgt-in_binary64
651×distribute-lft-in_binary64
317×unswap-sqr_binary64
225×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02382862
17342726
229922607
Stop Event
1×node limit
Counts
66 → 91
Calls
Call 1
Inputs
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) z)))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))) (pow.f64 z 2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) z))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))))) (pow.f64 z 3))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))) (pow.f64 z 2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) z)))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (sqrt.f64 2)) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))))) 1)
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))))) 3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) 3) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000)) (+.f64 z -15/2)))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000)) (+.f64 z -15/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))) 1)
(/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 1 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))))
(exp.f64 (+.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000)) (+.f64 z -15/2))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000)) (+.f64 z -15/2))) 1))
Outputs
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))
(*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 9999999999998099/10000000000000000))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) z)))
(*.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))) z)))
(*.f64 9999999999998099/10000000000000000 (fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2)) z))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (*.f64 (*.f64 (fma.f64 -1 (log.f64 15/2) 14/15) (sqrt.f64 15/2)) z))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))) (pow.f64 z 2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) z))))
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(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3) 1/3)
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
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(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) 2))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
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(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
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(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
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(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
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(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000)) (+.f64 z -15/2))))
(exp.f64 (+.f64 (+.f64 (+.f64 -15/2 z) (log.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (log.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z)))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000)) (+.f64 z -15/2))) 1))
(exp.f64 (+.f64 (+.f64 (+.f64 -15/2 z) (log.f64 (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (log.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z)))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))))

localize168.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
✓1.0b
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 506 to 386 computations (23.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms
z
@0
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms
z
@-inf
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

rewrite66.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
568×log-prod_binary64
377×fma-def_binary64
356×pow2_binary64
262×log-div_binary64
247×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
127216
2393116
Stop Event
1×node limit
Counts
1 → 79
Calls
Call 1
Inputs
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
Outputs
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simplify90.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
480×distribute-rgt-in_binary64
461×fma-neg_binary64
451×distribute-lft-in_binary64
424×fma-def_binary64
381×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02822248
16992165
220812161
379682161
Stop Event
1×node limit
Counts
91 → 130
Calls
Call 1
Inputs
1349816007849170108514679/5250000000000000000000
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(fma.f64 2496092394504893/250000000000000000000 (/.f64 1 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
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(fma.f64 (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (pow.f64 (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) 2) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) 2) (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
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(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(fma.f64 -2496092394504893/250000000000000000000 (/.f64 1 (neg.f64 (-.f64 7 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(fma.f64 (/.f64 1 (-.f64 7 z)) 2496092394504893/250000000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(fma.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 343 (pow.f64 z 3))) (fma.f64 z (+.f64 7 z) 49) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 49 (*.f64 z z))) (+.f64 7 z) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (fma.f64 z (+.f64 z 3) 9) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
Outputs
1349816007849170108514679/5250000000000000000000
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(fma.f64 9448712024991082025544037/110250000000000000000000 z 1349816007849170108514679/5250000000000000000000)
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(fma.f64 9448712024991082025544037/110250000000000000000000 z (fma.f64 z (*.f64 z 66140984085078247976632111/2315250000000000000000000) 1349816007849170108514679/5250000000000000000000))
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(fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (fma.f64 z (+.f64 z 3) 9) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
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eval1.1s (1.5%)

Compiler

Compiled 73158 to 58473 computations (20.1% saved)

prune275.0ms (0.4%)

Pruning

43 alts after pruning (37 fresh and 6 done)

PrunedKeptTotal
New1068161084
Fresh142135
Picked011
Done358
Total1085431128
Error
0b
Counts
1128 → 43
Alt Table
Click to see full alt table
StatusErrorProgram
2.8b
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
2.0b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
✓2.5b
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
2.9b
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
2.0b
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
62.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
62.8b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))
1.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 59493983178131529437839794393961/900000000000000000000000000 (*.f64 z 59493983178131529437839794393961/1350000000000000000000000000))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)) (+.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z)) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
55.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
55.0b
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
55.0b
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
1.8b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.3b
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))))
2.4b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
✓1.1b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (-.f64 2 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
62.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
63.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓0.8b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓1.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓1.6b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.5b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (+.f64 (-.f64 4 z) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) -883075145810703/5000000000000)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.3b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
2.2b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
1.9b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
1.9b
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
2.6b
(*.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))
46.6b
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
46.6b
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
46.6b
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
63.9b
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
31.8b
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
Compiler

Compiled 1887 to 1554 computations (17.6% saved)

regimes160.0ms (0.2%)

Counts
86 → 1
Calls
Call 1
Inputs
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 59493983178131529437839794393961/900000000000000000000000000 (*.f64 z 59493983178131529437839794393961/1350000000000000000000000000))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 3)
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)) (+.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z)) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)) (+.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z)) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3)) (+.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
Calls

2 calls:

37.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
31.0ms
z
Results
ErrorSegmentsBranch
0.4b1z
0.4b1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Compiler

Compiled 4010 to 3126 computations (22% saved)

regimes128.0ms (0.2%)

Counts
77 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (+.f64 (-.f64 4 z) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) -883075145810703/5000000000000)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 59493983178131529437839794393961/900000000000000000000000000 (*.f64 z 59493983178131529437839794393961/1350000000000000000000000000))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))))) 3)
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
Calls

2 calls:

33.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
28.0ms
z
Results
ErrorSegmentsBranch
0.4b1z
0.4b1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Compiler

Compiled 2968 to 2279 computations (23.2% saved)

regimes82.0ms (0.1%)

Counts
72 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
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(*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) z)))
(*.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (+.f64 (-.f64 4 z) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) -883075145810703/5000000000000)) (*.f64 (-.f64 1000000000000000/2501468655737381 (/.f64 z 2501468655737381/200000000000000)) (-.f64 4 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (-.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
Calls

1 calls:

27.0ms
z
Results
ErrorSegmentsBranch
0.5b1z
Compiler

Compiled 2383 to 1790 computations (24.9% saved)

regimes80.0ms (0.1%)

Counts
71 → 1
Calls
Call 1
Inputs
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(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
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(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
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(*.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
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(*.f64 (PI.f64) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
Calls

1 calls:

26.0ms
z
Results
ErrorSegmentsBranch
0.5b1z
Compiler

Compiled 2288 to 1713 computations (25.1% saved)

regimes64.0ms (0.1%)

Counts
64 → 1
Calls
Call 1
Inputs
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(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
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Outputs
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Calls

1 calls:

24.0ms
z
Results
ErrorSegmentsBranch
0.7b1z
Compiler

Compiled 1730 to 1283 computations (25.8% saved)

regimes62.0ms (0.1%)

Counts
63 → 1
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

24.0ms
z
Results
ErrorSegmentsBranch
0.8b1z
Compiler

Compiled 1656 to 1227 computations (25.9% saved)

regimes60.0ms (0.1%)

Counts
62 → 1
Calls
Call 1
Inputs
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (-.f64 2 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

24.0ms
z
Results
ErrorSegmentsBranch
1.1b1z
Compiler

Compiled 1582 to 1171 computations (26% saved)

regimes58.0ms (0.1%)

Counts
61 → 1
Calls
Call 1
Inputs
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(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
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(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
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(*.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
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(*.f64 (PI.f64) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
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(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
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(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (-.f64 2 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64)))))))
Calls

1 calls:

24.0ms
z
Results
ErrorSegmentsBranch
1.2b1z
Compiler

Compiled 1514 to 1121 computations (26% saved)

regimes43.0ms (0.1%)

Counts
52 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) z)))
(*.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)))
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))))
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 2))) (*.f64 (pow.f64 (PI.f64) 3/2) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

19.0ms
z
Results
ErrorSegmentsBranch
1.6b1z
Compiler

Compiled 1032 to 781 computations (24.3% saved)

regimes47.0ms (0.1%)

Counts
50 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) z)))
(*.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)))
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))))
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 2))) (*.f64 (pow.f64 (PI.f64) 3/2) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

25.0ms
z
Results
ErrorSegmentsBranch
1.7b1z
Compiler

Compiled 942 to 718 computations (23.8% saved)

regimes38.0ms (0.1%)

Counts
47 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) z)))
(*.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)))
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))))
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 2))) (*.f64 (pow.f64 (PI.f64) 3/2) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
Calls

1 calls:

18.0ms
z
Results
ErrorSegmentsBranch
1.7b1z
Compiler

Compiled 816 to 631 computations (22.7% saved)

regimes28.0ms (0%)

Counts
37 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) z)))
(*.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)))
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))))
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
Calls

1 calls:

15.0ms
z
Results
ErrorSegmentsBranch
1.7b1z
Compiler

Compiled 528 to 428 computations (18.9% saved)

regimes26.0ms (0%)

Counts
34 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) z)))
(*.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (*.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 15/2)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15)))) (pow.f64 z -2)))
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 -15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))))
(*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z))))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (/.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)) 3)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))))) z)) 3)
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
Calls

1 calls:

14.0ms
z
Results
ErrorSegmentsBranch
1.9b1z
Compiler

Compiled 465 to 377 computations (18.9% saved)

regimes9.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (exp.f64 -15/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15 (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
Outputs
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
Calls

1 calls:

5.0ms
z
Results
ErrorSegmentsBranch
1.9b1z
Compiler

Compiled 96 to 72 computations (25% saved)

regimes6.0ms (0%)

Accuracy

Total -44.2b remaining (-1734.3%)

Threshold costs -44.2b (-1734.3%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 z z)) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15))) (*.f64 z z)))
Outputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
Calls

1 calls:

3.0ms
z
Results
ErrorSegmentsBranch
2.5b1z
Compiler

Compiled 45 to 33 computations (26.7% saved)

simplify273.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
585×distribute-rgt-neg-in_binary64
453×cancel-sign-sub-inv_binary64
410×neg-sub0_binary64
410×neg-mul-1_binary64
404×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02461295
14221293
24691289
34971289
45461289
56121289
66721289
77321289
87881289
98471289
109721289
1112081289
1215881289
1320511289
1425921289
1531761289
1636411289
1739991289
1841181289
1941761289
2042041289
2146391289
2247651289
2348351289
2449231289
2549991289
2650431289
2750751289
2851001289
2951151289
3051181289
3151181289
3251181289
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))))) (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 z (PI.f64)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z 17677775146260978562117317613/235200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 17677775146260978562117317613/235200000000000000000000000 (*.f64 3071077024184708161128044520019/118540800000000000000000000000 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 z -1) -13/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 z (+.f64 (*.f64 z -3071077024184708161128044520019/118540800000000000000000000000) -17677775146260978562117317613/235200000000000000000000000))))) (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 (PI.f64) z))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) z)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)))) z)
Compiler

Compiled 841 to 702 computations (16.5% saved)

soundness166.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
503×associate-/r*_binary64
345×associate-/l*_binary64
337×associate-+l+_binary64
288×associate-+r+_binary64
271×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061156
1160147
2639119
34381115
Stop Event
1×node limit
Compiler

Compiled 6214 to 5444 computations (12.4% saved)

end316.0ms (0.4%)

Compiler

Compiled 827 to 648 computations (21.6% saved)

Profiling

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