Details

Time bar (total: 1.4min)

analyze1.5s (1.8%)

Algorithm
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)

sample1.0min (71.8%)

Results
54.9s3966×body8192exit
5.2s8256×body256valid
46.0ms96×body256infinite
41.0ms82×body256unsamplable
Bogosity

preprocess45.0ms (0.1%)

Algorithm
egg-herbie
Rules
1204×associate-/r*
820×associate-/l*
724×associate-+r-
702×associate-+l-
684×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064311
1163293
2616237
34046229
011
Stop Event
saturated
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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.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 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify49.0ms (0.1%)

Algorithm
egg-herbie
Rules
1204×associate-/r*
820×associate-/l*
724×associate-+r-
702×associate-+l-
684×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064311
1163293
2616237
34046229
Stop Event
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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.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 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

eval7.0ms (0%)

Compiler

Compiled 470 to 383 computations (18.5% saved)

prune18.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New055
Fresh011
Picked000
Done000
Total066
Error
0.3b
Counts
6 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(*.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)))))
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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.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 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
Compiler

Compiled 948 to 806 computations (15% saved)

localize432.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -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)))
6.9b
(+.f64 (-.f64 1 z) -1)
Compiler

Compiled 656 to 554 computations (15.5% saved)

series4.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
0.0ms
z
@-inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
0.0ms
z
@inf
(+.f64 (-.f64 1 z) -1)
0.0ms
z
@inf
(/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2))

rewrite143.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
596×add-sqr-sqrt
560×add-cbrt-cube
560×add-cube-cbrt
558×add-exp-log
558×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02788
162680
Stop Event
node limit
Counts
4 → 149
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)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2))
Outputs
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simplify146.0ms (0.2%)

Algorithm
egg-herbie
Rules
1742×associate-/r*
1070×+-commutative
808×associate-*r/
726×associate-*l/
480×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04726843
112376393
246326333
Stop Event
node limit
Counts
185 → 259
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
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(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (+.f64 1 (-.f64 1 z)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 1 (-.f64 1 z)) 2)))) (neg.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 1 (-.f64 1 z)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.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 1 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.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 1 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 2)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 1)
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(*.f64 (/.f64 1 (+.f64 (-.f64 1 z) 2)) 7713234287776531/10000000000000)
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (+.f64 (neg.f64 (-.f64 1 z)) -2)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (+.f64 (-.f64 1 z) -2))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 3) 8)) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 4 (*.f64 (-.f64 1 z) -2))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 3)
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3) 1/3)
(pow.f64 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531) -1)
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
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
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z 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 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z z)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z 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 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z z)))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (*.f64 (*.f64 z z) 7713234287776531/270000000000000))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 7713234287776531/30000000000000))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 (*.f64 z (*.f64 z 7713234287776531/270000000000000))))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 (*.f64 (*.f64 7713234287776531/270000000000000 z) z)))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) 2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) 1)
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 2)))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 1)
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(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
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(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (/.f64 1 (+.f64 (-.f64 1 z) 2)) 7713234287776531/10000000000000)
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
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(*.f64 -7713234287776531/10000000000000 (/.f64 1 (+.f64 (neg.f64 (-.f64 1 z)) -2)))
(/.f64 -7713234287776531/10000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -2))
(/.f64 -7713234287776531/10000000000000 (+.f64 (+.f64 -1 z) -2))
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(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (+.f64 (-.f64 1 z) -2))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (-.f64 -1 z))
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(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 3) 8)) (+.f64 (pow.f64 (-.f64 1 z) 2) (fma.f64 (-.f64 1 z) -2 4)))
(/.f64 (*.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) (fma.f64 (-.f64 1 z) -2 4))) (+.f64 (pow.f64 (-.f64 1 z) 3) 8))
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(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
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(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
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(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
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(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(pow.f64 (-.f64 (/.f64 (-.f64 1 z) 7713234287776531/10000000000000) -20000000000000/7713234287776531) -1)
(/.f64 1 (+.f64 (-.f64 10000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 20000000000000/7713234287776531))
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(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
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(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
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(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 1))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
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(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

localize285.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
1.0b
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 498 to 393 computations (21.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms
z
@inf
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms
z
@0
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms
z
@0
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
0.0ms
z
@inf
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))

rewrite183.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
612×+-commutative
478×add-sqr-sqrt
462×associate-+l+
454×add-exp-log
454×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019117
1466117
26806117
Stop Event
node limit
Counts
3 → 127
Calls
Call 1
Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
Outputs
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simplify190.0ms (0.2%)

Algorithm
egg-herbie
Rules
918×associate--r+
772×associate-*r/
684×associate-*l/
568×associate--l+
510×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047311627
1127411231
2525011183
Stop Event
node limit
Counts
163 → 267
Calls
Call 1
Inputs
4560878540298521/15000000000000
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7713234287776531/30000000000000
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(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 3))
(expm1.f64 (log.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
Outputs
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000)
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (*.f64 295755570232608827/540000000000000 (*.f64 z z))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) (*.f64 z (*.f64 z 295755570232608827/540000000000000)))
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (*.f64 z z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) (fma.f64 295755570232608827/540000000000000 (*.f64 z z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
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(/.f64 -943522900885677/5000000000000 z)
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7713234287776531/30000000000000
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(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
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(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000))
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(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
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(/.f64 -7713234287776531/10000000000000 z)
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(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
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(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
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(-.f64 (-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 7713234287776531/10000000000000 z)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(/.f64 -7713234287776531/10000000000000 z)
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(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
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(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 23139702863329593/10000000000000 (*.f64 z z))) (/.f64 7713234287776531/10000000000000 z))))
(+.f64 (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))
(-.f64 (-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 7713234287776531/10000000000000 z)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
9151757080597036297/30000000000000000
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(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(+.f64 (fma.f64 40269435042492127/90000000000000 z (*.f64 295755570232608827/540000000000000 (*.f64 z z))) 9151757080597036297/30000000000000000)
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(+.f64 9151757080597036297/30000000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
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9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
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(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
(+.f64 (+.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -943522900885677/5000000000000 z)) 9999999999998099/10000000000000000)
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(-.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))) (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
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9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -943522900885677/5000000000000 z))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
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(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) 3)
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 3) 1/3)
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
(fabs.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 3))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(expm1.f64 (log.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) 1))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))

localize330.0ms (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 7713234287776531/10000000000000 (-.f64 3 z))
1.0b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 477 to 364 computations (23.7% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
0.0ms
z
@-inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

rewrite95.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
740×add-sqr-sqrt
706×add-exp-log
706×add-cbrt-cube
706×add-log-exp
706×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029140
1724140
Stop Event
node limit
Counts
2 → 26
Calls
Call 1
Inputs
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 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simplify128.0ms (0.2%)

Algorithm
egg-herbie
Rules
1180×fma-def
954×associate--l+
934×associate-+l-
868×*-commutative
820×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01563126
14213078
218682784
357492784
Stop Event
node limit
Counts
50 → 91
Calls
Call 1
Inputs
7902188421553103227/30000000000000000
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9999999999998099/10000000000000000
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646366562873259793/3000000000000000
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(/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(pow.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(log.f64 (exp.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z))))))
(cbrt.f64 (*.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (+.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 -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 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(expm1.f64 (log1p.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z))))))
(exp.f64 (log.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log1p.f64 (expm1.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(*.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 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (*.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)))))))
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(/.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 (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 -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))))))
(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 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)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
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Outputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)
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(fma.f64 39321001939258358983/90000000000000000 z (fma.f64 z (*.f64 z 2943194126470171931171/5400000000000000000) 7902188421553103227/30000000000000000))
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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646366562873259793/3000000000000000
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(/.f64 -121443148578839881/200000000000000 z)
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(/.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1)
(/.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 -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 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 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(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))))
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(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
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(cbrt.f64 (*.f64 (+.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)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
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(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
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(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))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))

localize385.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
1.0b
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
Compiler

Compiled 668 to 560 computations (16.2% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
0.0ms
z
@0
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
0.0ms
z
@inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
0.0ms
z
@-inf
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
0.0ms
z
@-inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))

rewrite136.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
1002×associate-/l*
534×associate-+l+
508×+-commutative
414×add-sqr-sqrt
392×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016117
139793
2602793
Stop Event
node limit
Counts
3 → 166
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
Outputs
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simplify181.0ms (0.2%)

Algorithm
egg-herbie
Rules
812×associate--r+
704×fma-def
630×associate-/r*
556×associate-*r*
538×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059212796
1163612528
2664512528
Stop Event
node limit
Counts
202 → 324
Calls
Call 1
Inputs
469507597606837/10000000000000
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(/.f64 5826188486005177/10000000000000 z)
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7713234287776531/30000000000000
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4560878540298521/15000000000000
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(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (+.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (+.f64 z -1) (+.f64 z -2)))))) (*.f64 (+.f64 -3 z) (+.f64 (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z -1) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))))) (*.f64 (+.f64 -3 z) (+.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (+.f64 z -1) (+.f64 z -2)))))))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (*.f64 (-.f64 1 z) (-.f64 2 z))) (*.f64 (+.f64 -3 z) (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (*.f64 (+.f64 -3 z) (*.f64 (-.f64 1 z) (-.f64 2 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 2) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))) (neg.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))))))
(pow.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 6765203681218851/10000000000000 (/.f64 -1 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (sqrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 2) (cbrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 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))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.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 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 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(/.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))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.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 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 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (*.f64 (*.f64 z z) 7713234287776531/270000000000000))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 (*.f64 z (*.f64 z 7713234287776531/270000000000000))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))
(-.f64 (-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))
(-.f64 (-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000))
(fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000)
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(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
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(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
(fabs.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
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(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
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(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 6765203681218851/10000000000000 (/.f64 -1 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
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(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
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(fma.f64 (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
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(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
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(fma.f64 (sqrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (sqrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
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(fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(fma.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
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(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 2) (cbrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))

localize329.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(*.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))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
2.8b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
6.9b
(-.f64 (-.f64 1 z) 1)
Compiler

Compiled 894 to 784 computations (12.3% saved)

series7.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@0
(*.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))))
1.0ms
z
@inf
(*.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))))
1.0ms
z
@-inf
(*.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))))
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
0.0ms
z
@0
(-.f64 (-.f64 1 z) 1)

rewrite65.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
754×add-sqr-sqrt
714×*-un-lft-identity
712×pow1
708×add-exp-log
708×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031149
1742133
Stop Event
node limit
Counts
3 → 41
Calls
Call 1
Inputs
(-.f64 (-.f64 1 z) 1)
(+.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 (*.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))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 1 z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 z) -1) 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 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) 1) (+.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) 1) (+.f64 (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 1 z) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (cbrt.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) (*.f64 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))))))

simplify104.0ms (0.1%)

Algorithm
egg-herbie
Rules
1024×associate--r-
988×*-commutative
816×associate-+r+
808×associate-+l+
560×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02233419
16393009
225452751
377132751
Stop Event
node limit
Counts
77 → 108
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 (neg.f64 z) -1))
(+.f64 1 (-.f64 (neg.f64 z) 1))
(+.f64 (-.f64 1 z) -1)
(+.f64 -1 (-.f64 1 z))
(*.f64 1 (+.f64 (-.f64 1 z) -1))
(*.f64 (+.f64 (-.f64 1 z) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) 1))
(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 1))
(/.f64 (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 1 (-.f64 1 z)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (-.f64 1 z)))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) 1) (+.f64 1 (-.f64 1 z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) 1) (+.f64 (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (-.f64 1 z)))
(pow.f64 (+.f64 (-.f64 1 z) -1) 1)
(log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1)))
(cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1)
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (cbrt.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)))))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(cbrt.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) (*.f64 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))
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
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z 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 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z 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 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (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 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(+.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)))))
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (*.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))))))))
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eval4.6s (5.5%)

Compiler

Compiled 163143 to 132637 computations (18.7% saved)

prune1.4s (1.6%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1501181519
Fresh000
Picked101
Done224
Total1504201524
Error
0.3b
Counts
1524 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(*.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (/.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)))))
1.0b
(*.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 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 1 (-.f64 1 z))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.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))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.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 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 1) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z -1) 3)) (pow.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)) (+.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (*.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.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 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
2.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.8b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
Compiler

Compiled 3133 to 2613 computations (16.6% saved)

localize271.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))
1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))
1.0b
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 519 to 413 computations (20.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))
0.0ms
z
@0
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))
0.0ms
z
@0
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))
0.0ms
z
@inf
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))
0.0ms
z
@-inf
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))

rewrite135.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
576×+-commutative
470×add-sqr-sqrt
446×add-exp-log
446×add-cbrt-cube
446×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01992
146192
2659192
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))
Outputs
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simplify186.0ms (0.2%)

Algorithm
egg-herbie
Rules
1046×associate-/r*
960×associate--r+
636×associate--l+
602×associate-*r/
518×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046112057
1128111593
2485411587
Stop Event
node limit
Counts
145 → 242
Calls
Call 1
Inputs
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Outputs
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(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) 1)
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(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 3)
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(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) 3) 1/3)
(+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
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(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))
(+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
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(cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) 3))
(+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(expm1.f64 (log.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))
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(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 1))
(+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))
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(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))
(+.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
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(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))
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(fma.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
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(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))
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localize123.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0b
(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 249 to 176 computations (29.3% saved)

series10.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
3.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms
z
@0
(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
0.0ms
z
@inf
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite94.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
890×add-sqr-sqrt
840×add-exp-log
838×add-cbrt-cube
838×add-log-exp
838×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037211
1879211
Stop Event
node limit
Counts
3 → 27
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 7902188421553103227/30000000000000000) (*.f64 (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 7902188421553103227/30000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 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(-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))

simplify143.0ms (0.2%)

Algorithm
egg-herbie
Rules
1550×associate-+r+
1430×associate-+l+
1108×associate-*l/
1052×associate-*r/
854×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02705677
18285409
236935375
Stop Event
node limit
Counts
63 → 106
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.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))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.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) (*.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))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.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) (+.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 (-.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)) (*.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))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.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))))
(*.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 (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 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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(*.f64 (*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)
(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(cbrt.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.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))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.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) (*.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))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (*.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (*.f64 z z))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.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) (+.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 (-.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)) (*.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))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (*.f64 z z) (*.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (*.f64 z z) (*.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))) 1/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (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)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (sqrt.f64 2) (*.f64 z (fma.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) 1106209385320415913103082059/4200000000000000000000000)))) (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))))
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(*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (-.f64 (-.f64 7902188421553103227/30000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 7902188421553103227/30000000000000000))))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (fma.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 7902188421553103227/30000000000000000)) 62444581849727925073340192313717813529/900000000000000000000000000000000))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3)) (fma.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 7902188421553103227/30000000000000000))) 62444581849727925073340192313717813529/900000000000000000000000000000000))
(pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(cbrt.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))

localize207.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 369 to 275 computations (25.5% 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
3.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))

rewrite85.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1256×add-sqr-sqrt
1186×add-exp-log
1186×add-cbrt-cube
1186×add-log-exp
1186×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051226
11234226
Stop Event
node limit
Counts
2 → 19
Calls
Call 1
Inputs
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
Outputs
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simplify114.0ms (0.1%)

Algorithm
egg-herbie
Rules
1478×associate-+r+
1020×associate-*r/
926×associate-*l/
926×+-commutative
504×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02575377
17834625
235254445
Stop Event
node limit
Counts
43 → 94
Calls
Call 1
Inputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))))
(*.f64 6764801184542762983/90000000000000000 z)
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(*.f64 6764801184542762983/90000000000000000 z)
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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)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
Outputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000))
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)))
(*.f64 6764801184542762983/90000000000000000 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 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(cbrt.f64 (pow.f64 (*.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) 3))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (*.f64 2 (PI.f64)))))

localize365.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 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 7713234287776531/10000000000000 (-.f64 3 z))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 538 to 416 computations (22.7% saved)

localize379.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
1.0b
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000))
Compiler

Compiled 737 to 607 computations (17.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000))
0.0ms
z
@inf
(+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000))
0.0ms
z
@-inf
(+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000))
0.0ms
z
@-inf
(+.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
0.0ms
z
@0
(+.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))

rewrite120.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
514×associate-+l+
464×add-sqr-sqrt
446×+-commutative
438×pow1
438×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019102
145096
2660096
Stop Event
node limit
Counts
2 → 109
Calls
Call 1
Inputs
(+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000))
(+.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
Outputs
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simplify127.0ms (0.2%)

Algorithm
egg-herbie
Rules
1758×associate-/l*
1162×associate-*r/
796×associate-*l/
728×+-commutative
632×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03789649
19979247
240849247
Stop Event
node limit
Counts
133 → 202
Calls
Call 1
Inputs
-469507597606837/5000000000000
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(*.f64 -5826188486005177/10000000000000 z)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(*.f64 -5826188486005177/10000000000000 z)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
4560878540298521/15000000000000
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(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (-.f64 3 z) (*.f64 (-.f64 1 z) (*.f64 (+.f64 z -2) 7713234287776531/10000000000000)))) (neg.f64 (*.f64 (*.f64 (-.f64 1 z) (+.f64 z -2)) (-.f64 3 z))))
(pow.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 1 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))))
(fma.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (/.f64 1 (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2)))) (sqrt.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2)))) 2) (cbrt.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
Outputs
-469507597606837/5000000000000
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)
(*.f64 -5826188486005177/10000000000000 z)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)
(*.f64 -5826188486005177/10000000000000 z)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)
(-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000)
(fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000))
(fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000)
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (*.f64 295755570232608827/540000000000000 (*.f64 z z))))
(+.f64 4560878540298521/15000000000000 (fma.f64 z 40269435042492127/90000000000000 (*.f64 z (*.f64 z 295755570232608827/540000000000000))))
(+.f64 (fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000) (*.f64 (*.f64 295755570232608827/540000000000000 z) z))
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (*.f64 z z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 4560878540298521/15000000000000 (fma.f64 z 40269435042492127/90000000000000 (fma.f64 295755570232608827/540000000000000 (*.f64 z z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000) (fma.f64 1967803238479727281/3240000000000000 (pow.f64 z 3) (*.f64 (*.f64 295755570232608827/540000000000000 z) z)))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
(-.f64 (/.f64 -943522900885677/5000000000000 z) (/.f64 (/.f64 1180530552525097/2500000000000 z) z))
(-.f64 (/.f64 -943522900885677/5000000000000 z) (/.f64 1180530552525097/2500000000000 (*.f64 z z)))
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 -943522900885677/5000000000000 z) (/.f64 (/.f64 1180530552525097/2500000000000 z) z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)))
(+.f64 (-.f64 (/.f64 -943522900885677/5000000000000 z) (/.f64 1180530552525097/2500000000000 (*.f64 z z))) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4))) (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z))))
(-.f64 (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (/.f64 (/.f64 1180530552525097/2500000000000 z) z) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))))
(-.f64 (+.f64 (-.f64 (/.f64 -943522900885677/5000000000000 z) (/.f64 1180530552525097/2500000000000 (*.f64 z z))) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3))) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
(-.f64 (/.f64 -943522900885677/5000000000000 z) (/.f64 (/.f64 1180530552525097/2500000000000 z) z))
(-.f64 (/.f64 -943522900885677/5000000000000 z) (/.f64 1180530552525097/2500000000000 (*.f64 z z)))
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 -943522900885677/5000000000000 z) (/.f64 (/.f64 1180530552525097/2500000000000 z) z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)))
(+.f64 (-.f64 (/.f64 -943522900885677/5000000000000 z) (/.f64 1180530552525097/2500000000000 (*.f64 z z))) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4))) (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z))))
(-.f64 (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (/.f64 (/.f64 1180530552525097/2500000000000 z) z) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))))
(-.f64 (+.f64 (-.f64 (/.f64 -943522900885677/5000000000000 z) (/.f64 1180530552525097/2500000000000 (*.f64 z z))) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3))) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)))) 1)
(fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000))
(fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z)))
(fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (+.f64 (*.f64 6765203681218851/10000000000000 z) -6765203681218851/5000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)))) (-.f64 1 (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)))
(-.f64 (expm1.f64 (log1p.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)))) (fma.f64 z -6765203681218851/10000000000000 6765203681218851/5000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z -2) 6765203681218851/10000000000000))) (-.f64 1 (*.f64 3147848041806007/2500000000000 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z -2) 6765203681218851/10000000000000))) (+.f64 1 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))))
(fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (expm1.f64 (log1p.f64 (*.f64 -6765203681218851/10000000000000 (-.f64 2 z)))))
(fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (expm1.f64 (log1p.f64 (+.f64 (*.f64 6765203681218851/10000000000000 z) -6765203681218851/5000000000000))))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000) (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 -6765203681218851/10000000000000 (+.f64 z -2)))) (/.f64 (*.f64 (pow.f64 (+.f64 z -2) 2) 45767980848377092942628957760201/100000000000000000000000000) (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 -6765203681218851/10000000000000 (+.f64 z -2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000) (*.f64 (pow.f64 (+.f64 z -2) 2) 45767980848377092942628957760201/100000000000000000000000000)) (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (+.f64 (*.f64 z -6765203681218851/10000000000000) 6765203681218851/5000000000000)))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 z) 2) 9908947294301912793614221284049/6250000000000000000000000 (*.f64 (pow.f64 (+.f64 z -2) 2) -45767980848377092942628957760201/100000000000000000000000000)) (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (fma.f64 z -6765203681218851/10000000000000 6765203681218851/5000000000000)))
(-.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (exp.f64 (log1p.f64 (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z -2) 6765203681218851/10000000000000))) (+.f64 1 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))))
(fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (expm1.f64 (log1p.f64 (*.f64 -6765203681218851/10000000000000 (-.f64 2 z)))))
(fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (expm1.f64 (log1p.f64 (+.f64 (*.f64 6765203681218851/10000000000000 z) -6765203681218851/5000000000000))))
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(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))))
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(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))))
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(fma.f64 (sqrt.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2)))) (sqrt.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
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(+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (+.f64 (*.f64 6765203681218851/10000000000000 z) -6765203681218851/5000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2)))) 2) (cbrt.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (-.f64 2 z))) (+.f64 z -2)) (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (+.f64 (*.f64 6765203681218851/10000000000000 z) -6765203681218851/5000000000000)) (*.f64 (-.f64 1 z) (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

eval1.5s (1.8%)

Compiler

Compiled 91706 to 71360 computations (22.2% saved)

prune474.0ms (0.6%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1022111033
Fresh21113
Picked101
Done336
Total1028251053
Error
0.3b
Counts
1053 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
1.5b
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1.7b
(*.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (/.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)))))
1.0b
(*.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 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 1 (-.f64 1 z))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.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))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.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 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 1) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 28038845331433078297/30000000000000000 (*.f64 z 6860006741874619/9000000000000))) 1) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.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 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
2.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
62.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))))
39.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 7902188421553103227/30000000000000000))
2.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
Compiler

Compiled 3440 to 2854 computations (17% saved)

localize175.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
1.0b
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
1.0b
(sqrt.f64 (PI.f64))
Compiler

Compiled 503 to 394 computations (21.7% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite44.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
882×add-sqr-sqrt
868×*-un-lft-identity
826×associate-*l*
818×pow1
804×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1977
211197
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(sqrt.f64 (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 1/4)) (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/4)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/4)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64))))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))))

simplify49.0ms (0.1%)

Algorithm
egg-herbie
Rules
918×associate-+r+
858×associate-+l+
760×distribute-rgt-in
750×distribute-lft-in
744×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079724
1169592
2413568
31675494
43418494
Stop Event
node limit
Counts
34 → 48
Calls
Call 1
Inputs
(-.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) 1))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 1/4)) (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4)))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) 1/4)))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/4)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/4)) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64))))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
Outputs
(-.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) 1)
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 1 1/2))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(*.f64 1 (sqrt.f64 (PI.f64)))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (fabs.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) 1))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (fabs.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 1/4)) (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4)))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (fabs.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) 1/4)))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) 6))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/4)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/4)) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/4)) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 1/4))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/4)) (cbrt.f64 (pow.f64 (PI.f64) 1/4))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 4))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64))))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (fabs.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 1/2) 1))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (fabs.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (fabs.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(pow.f64 (PI.f64) 1/2)
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(fabs.f64 (sqrt.f64 (PI.f64)))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(sqrt.f64 (PI.f64))

localize56.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 136 to 83 computations (39% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite94.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
550×add-sqr-sqrt
524×*-un-lft-identity
522×pow1
512×add-exp-log
510×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02584
154680
2709380
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))) 1106209385320415913103082059/4200000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (+.f64 (+.f64 z -15/2) (log.f64 1106209385320415913103082059/4200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (+.f64 (+.f64 z -15/2) (log.f64 1106209385320415913103082059/4200000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))))

simplify69.0ms (0.1%)

Algorithm
egg-herbie
Rules
1382×distribute-lft-in
1380×distribute-rgt-in
924×associate-*r/
716×associate-*l/
698×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02503516
17143358
227183330
Stop Event
node limit
Counts
70 → 96
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.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)))) z)) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.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)))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.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))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.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)))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.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))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (+.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 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (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)))))))) (sqrt.f64 (PI.f64)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.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 z)
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(/.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 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 1)
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(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (+.f64 (+.f64 z -15/2) (log.f64 1106209385320415913103082059/4200000000000000000000000))))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (+.f64 (+.f64 z -15/2) (log.f64 1106209385320415913103082059/4200000000000000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
(-.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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.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 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (/.f64 (PI.f64) (cbrt.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 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.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)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(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)))))
(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))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.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)))) z)) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.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) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (exp.f64 -15/2)) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.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)))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.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))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.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) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (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)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 z (exp.f64 -15/2)) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 z (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 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.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) 1/2)))) (*.f64 (*.f64 z z) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.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)))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.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))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (+.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 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (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)))))))) (sqrt.f64 (PI.f64)))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.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) (sqrt.f64 (PI.f64)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (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)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.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 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (+.f64 (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)) (*.f64 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (exp.f64 -15/2) 1/2))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125)) 1/6)))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (exp.f64 -15/2)) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 z (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 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))) 1/2 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1/6 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125))))) (*.f64 (sqrt.f64 2) (pow.f64 z 3)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (*.f64 (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.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) 1/2)))) (*.f64 z z))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
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(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (-.f64 z 15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(/.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 (PI.f64) (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 (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.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 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (PI.f64) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) (cbrt.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)))
(/.f64 (PI.f64) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.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 (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)))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.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 (PI.f64) z)))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(fabs.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

localize170.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.3b
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
1.0b
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 375 to 290 computations (22.7% saved)

series9.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
z
@0
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.0ms
z
@-inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.0ms
z
@inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms
z
@inf
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
0.0ms
z
@0
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))

rewrite80.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1306×add-sqr-sqrt
1236×*-un-lft-identity
1234×add-exp-log
1234×add-log-exp
1232×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053232
11281232
Stop Event
node limit
Counts
2 → 18
Calls
Call 1
Inputs
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (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 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (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 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))))

simplify119.0ms (0.1%)

Algorithm
egg-herbie
Rules
1166×associate-*r/
1158×associate-+r+
1102×associate-+l+
1018×associate-/l*
1008×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02846008
18745314
234945290
Stop Event
node limit
Counts
42 → 90
Calls
Call 1
Inputs
-6251307572601308353/150000000000000000
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000)
(-.f64 (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000)
(-.f64 (+.f64 (*.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2)))) 6251307572601308353/150000000000000000)
(/.f64 2053078212233992689/12500000000000000 z)
(+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))
(+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))))
(+.f64 (*.f64 244246882827963270523/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))))
(/.f64 2053078212233992689/12500000000000000 z)
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(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (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 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (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 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
Outputs
-6251307572601308353/150000000000000000
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000)
(fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000)
(-.f64 (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000)
(+.f64 (fma.f64 -9487795309719323173/900000000000000000 z (*.f64 -1795630016662247729/675000000000000000 (*.f64 z z))) -6251307572601308353/150000000000000000)
(fma.f64 -9487795309719323173/900000000000000000 z (fma.f64 -1795630016662247729/675000000000000000 (*.f64 z z) -6251307572601308353/150000000000000000))
(-.f64 (+.f64 (*.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2)))) 6251307572601308353/150000000000000000)
(+.f64 (fma.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3) (fma.f64 -9487795309719323173/900000000000000000 z (*.f64 -1795630016662247729/675000000000000000 (*.f64 z z)))) -6251307572601308353/150000000000000000)
(fma.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3) (fma.f64 -9487795309719323173/900000000000000000 z (fma.f64 -1795630016662247729/675000000000000000 (*.f64 z z) -6251307572601308353/150000000000000000)))
(/.f64 2053078212233992689/12500000000000000 z)
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(log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (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 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
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(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (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 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (/.f64 (PI.f64) (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 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (*.f64 (/.f64 (PI.f64) (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 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 3))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (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 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (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 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (*.f64 (PI.f64) (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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))

localize179.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
1.0b
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))
Compiler

Compiled 498 to 393 computations (21.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))
0.0ms
z
@inf
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))
0.0ms
z
@-inf
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))
0.0ms
z
@inf
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))))
0.0ms
z
@0
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))))

rewrite124.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
604×+-commutative
528×associate-+l+
490×associate-+r+
470×add-sqr-sqrt
446×add-exp-log
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01996
146096
2655594
Stop Event
node limit
Counts
2 → 112
Calls
Call 1
Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))))
Outputs
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simplify143.0ms (0.2%)

Algorithm
egg-herbie
Rules
1040×associate--r+
700×associate-/r*
676×associate--l+
554×associate-/l*
480×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038510362
1105510012
240999948
Stop Event
node limit
Counts
136 → 233
Calls
Call 1
Inputs
4560878540298521/15000000000000
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(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) 1) (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) 1) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) (/.f64 (pow.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) 2) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))))
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(*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 2)) (/.f64 1 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))))))
(*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 3)) (/.f64 1 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 9999999999998099/10000000000000000)))))
(/.f64 1 (/.f64 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 2))))
(/.f64 1 (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 9999999999998099/10000000000000000))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 3))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 2)) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))))
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 9999999999998099/10000000000000000))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 9999999999998099/10000000000000000))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)) 2)) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) 3)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)) 2) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))))))
(/.f64 (neg.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 2))) (neg.f64 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))))))
(/.f64 (neg.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 3))) (neg.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 9999999999998099/10000000000000000)))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))))
(fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 9999999999998099/10000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) 9999999999998099/10000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) 9999999999998099/10000000000000000)
Outputs
4560878540298521/15000000000000
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(fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000)
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000))
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000)))
(*.f64 7713234287776531/90000000000000 z)
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(*.f64 7713234287776531/90000000000000 z)
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9151757080597036297/30000000000000000
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(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000) (fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) -9999999999998099/10000000000000000)) 99999999999961980000000003613801/100000000000000000000000000000000))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000) (fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7683234287776536703/30000000000000000))) 99999999999961980000000003613801/100000000000000000000000000000000))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 1)
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))) 2)
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))) 3)
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 3) 1/3)
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)) 2))
(fabs.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))))
(fabs.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 3))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))) 1))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7743234287776525297/30000000000000000)))
(fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))) 9999999999998099/10000000000000000)
(+.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) -1901/10000000000000000)
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) 9999999999998099/10000000000000000))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) 9999999999998099/10000000000000000)
(+.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) -1901/10000000000000000)
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) 9999999999998099/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) 9999999999998099/10000000000000000)
(+.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)))) -1901/10000000000000000)
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) 9999999999998099/10000000000000000))

localize238.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
1.0b
(/.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 (-.f64 1 z) 1)))
Compiler

Compiled 648 to 540 computations (16.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms
z
@inf
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms
z
@-inf
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

rewrite104.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1018×associate-/l*
504×+-commutative
496×associate-+l+
410×add-sqr-sqrt
388×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01655
139449
2595049
Stop Event
node limit
Counts
1 → 75
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
Outputs
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simplify102.0ms (0.1%)

Algorithm
egg-herbie
Rules
1022×associate-/r*
988×+-commutative
958×associate-+r+
942×associate-*r/
926×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03248109
19077979
233647955
Stop Event
node limit
Counts
87 → 158
Calls
Call 1
Inputs
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(/.f64 -943522900885677/5000000000000 z)
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(/.f64 (+.f64 (*.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (-.f64 3 z)) (*.f64 (*.f64 (-.f64 1 z) (-.f64 2 z)) 7713234287776531/10000000000000)) (*.f64 (*.f64 (-.f64 1 z) (-.f64 2 z)) (-.f64 3 z)))
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(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (+.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (+.f64 z -1) (+.f64 -2 z)))) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)))))) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (+.f64 z -1) (+.f64 -2 z)))))))
(/.f64 (+.f64 (*.f64 (-.f64 1 z) (-.f64 2 z)) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z))))
(/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (-.f64 3 z) (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2)))) (*.f64 (-.f64 3 z) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (+.f64 z -1) (+.f64 -2 z)))))) (*.f64 (-.f64 3 z) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))))) (*.f64 (-.f64 3 z) (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (+.f64 z -1) (+.f64 -2 z)))))))
(/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (*.f64 (-.f64 1 z) (-.f64 2 z))) (*.f64 (-.f64 3 z) (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (*.f64 (-.f64 3 z) (*.f64 (-.f64 1 z) (-.f64 2 z))))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (+.f64 -3 z) (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2)))) (*.f64 (+.f64 -3 z) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (+.f64 z -1) (+.f64 -2 z)))))) (*.f64 (+.f64 -3 z) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))))) (*.f64 (+.f64 -3 z) (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (+.f64 z -1) (+.f64 -2 z)))))))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (*.f64 (-.f64 1 z) (-.f64 2 z))) (*.f64 (+.f64 -3 z) (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (*.f64 (+.f64 -3 z) (*.f64 (-.f64 1 z) (-.f64 2 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))) (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
Outputs
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000)
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (*.f64 295755570232608827/540000000000000 (*.f64 z z))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) (*.f64 z (*.f64 z 295755570232608827/540000000000000)))
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (*.f64 z z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) (fma.f64 295755570232608827/540000000000000 (*.f64 z z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
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(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
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eval1.6s (1.9%)

Compiler

Compiled 111581 to 86532 computations (22.4% saved)

prune565.0ms (0.7%)

Pruning

37 alts after pruning (31 fresh and 6 done)

PrunedKeptTotal
New1284181302
Fresh41317
Picked011
Done257
Total1290371327
Error
0.0b
Counts
1327 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
2.5b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
33.8b
(*.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
1.5b
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1.7b
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0.5b
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1.4b
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1.4b
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1.6b
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2.1b
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1.0b
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1.5b
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1.5b
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2.1b
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0.5b
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0.5b
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1.1b
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1.4b
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1.4b
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0.5b
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1.4b
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1.4b
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2.0b
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2.0b
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2.7b
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0.5b
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1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
2.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
1.7b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.3b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
1.6b
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.2b
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
1.2b
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
2.3b
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
1.8b
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
2.0b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
1.9b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
Compiler

Compiled 4183 to 3461 computations (17.3% saved)

localize212.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 631 to 522 computations (17.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms
z
@inf
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms
z
@inf
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
0.0ms
z
@0
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
0.0ms
z
@-inf
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))

rewrite66.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
688×add-sqr-sqrt
656×add-cbrt-cube
656×add-cube-cbrt
654×add-exp-log
654×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02792
167480
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
Outputs
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simplify103.0ms (0.1%)

Algorithm
egg-herbie
Rules
1612×associate-*r/
1024×fma-def
780×associate-*l*
756×associate-*r*
714×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02124548
15534366
217564326
363574326
Stop Event
node limit
Counts
70 → 111
Calls
Call 1
Inputs
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))))
(/.f64 -943522900885677/5000000000000 z)
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-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
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(/.f64 32821537176690739/200000000000000 z)
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(/.f64 32821537176690739/200000000000000 z)
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(/.f64 1 (/.f64 (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))))
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(log.f64 (exp.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(cbrt.f64 (*.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (pow.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(*.f64 1 (+.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 (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 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2)))
(*.f64 (cbrt.f64 (pow.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 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2)) (/.f64 1 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(*.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))
(*.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (/.f64 1 (*.f64 (-.f64 4 z) (-.f64 5 z))))
(*.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1/2) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1/2))
(/.f64 1 (/.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3))))
(/.f64 1 (/.f64 (*.f64 (-.f64 4 z) (-.f64 5 z)) (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000))))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3)) (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (-.f64 4 z)) (-.f64 5 z))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(cbrt.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2)))
(expm1.f64 (log1p.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)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
Outputs
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000)
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (*.f64 295755570232608827/540000000000000 (*.f64 z z))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) (*.f64 z (*.f64 z 295755570232608827/540000000000000)))
(fma.f64 40269435042492127/90000000000000 z (fma.f64 z (*.f64 z 295755570232608827/540000000000000) 4560878540298521/15000000000000))
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (*.f64 z z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) (fma.f64 295755570232608827/540000000000000 (*.f64 z z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3))))
(+.f64 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 z 295755570232608827/540000000000000))) (fma.f64 1967803238479727281/3240000000000000 (pow.f64 z 3) 4560878540298521/15000000000000))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
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(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -943522900885677/5000000000000 z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 (/.f64 1180530552525097/2500000000000 z) z) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -943522900885677/5000000000000 z)) (+.f64 (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)) (/.f64 -28572848028348241/2500000000000 (pow.f64 z 4))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
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(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
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(neg.f64 (+.f64 (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 (/.f64 1180530552525097/2500000000000 z) z) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))))
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-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000)
(fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000)
(-.f64 (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(+.f64 (fma.f64 -105381455914863113/10000000000000000 z (*.f64 (*.f64 z z) -531910216885790327/200000000000000000)) -41652288634797769/1000000000000000)
(fma.f64 z -105381455914863113/10000000000000000 (fma.f64 (*.f64 z z) -531910216885790327/200000000000000000 -41652288634797769/1000000000000000))
(fma.f64 z (*.f64 z -531910216885790327/200000000000000000) (fma.f64 z -105381455914863113/10000000000000000 -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 (fma.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3) (fma.f64 -105381455914863113/10000000000000000 z (*.f64 (*.f64 z z) -531910216885790327/200000000000000000))) -41652288634797769/1000000000000000)
(fma.f64 (pow.f64 z 3) -2679562833674850683/4000000000000000000 (fma.f64 z -105381455914863113/10000000000000000 (fma.f64 (*.f64 z z) -531910216885790327/200000000000000000 -41652288634797769/1000000000000000)))
(fma.f64 (pow.f64 z 3) -2679562833674850683/4000000000000000000 (fma.f64 z (*.f64 z -531910216885790327/200000000000000000) (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000)))
(/.f64 32821537176690739/200000000000000 z)
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(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))))
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(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))))
(/.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 z z)) (/.f64 32821537176690739/200000000000000 z))
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(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))))
(+.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 (+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)))) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))) (+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 100526275385083079/40000000000000 (pow.f64 z 3)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 389597758261645411/40000000000000 (pow.f64 z 4)))))
(*.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 1 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(/.f64 (*.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) 1) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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))) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.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 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 (+.f64 (/.f64 2208984797906190952107506988843/1000000000000000000000000000 (-.f64 4 z)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z))) (-.f64 5 z))))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (-.f64 5 z)))
(*.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (/.f64 1 (*.f64 (-.f64 4 z) (-.f64 5 z))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (+.f64 2501468655737381/50000000000000 (*.f64 -2501468655737381/200000000000000 z))) (*.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (-.f64 4 z)) (-.f64 5 z))
(*.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (/.f64 1 (*.f64 (-.f64 4 z) (-.f64 5 z))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (+.f64 2501468655737381/50000000000000 (*.f64 -2501468655737381/200000000000000 z))) (*.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(log.f64 (exp.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)))
(cbrt.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(expm1.f64 (log1p.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)))
(exp.f64 (log.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)))
(log1p.f64 (expm1.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)))

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 124 to 85 computations (31.5% saved)

series7.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
1.0ms
z
@-inf
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
1.0ms
z
@0
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))

rewrite99.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1496×associate-/l*
532×add-sqr-sqrt
506×*-un-lft-identity
504×pow1
494×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02569
154065
2691065
Stop Event
node limit
Counts
1 → 88
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
Outputs
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simplify106.0ms (0.1%)

Algorithm
egg-herbie
Rules
854×distribute-lft-in
846×distribute-rgt-in
568×associate-*r*
514×*-commutative
492×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03549612
110059430
237359238
Stop Event
node limit
Counts
100 → 196
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))))
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(/.f64 1 (/.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 1 (/.f64 (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 1 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)))))
(/.f64 1 (/.f64 (/.f64 z (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 1 (/.f64 (/.f64 z (cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000))) (cbrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 2))))))
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(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)))))
(/.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) 1))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)))))
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000))))
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(sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))))) 1106209385320415913103082059/4200000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 3))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000) 3) (/.f64 (pow.f64 z -2) z)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
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 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 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 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.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 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))))) (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (sqrt.f64 (PI.f64)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) (+.f64 13/30 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)))) (*.f64 z (sqrt.f64 2))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 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 (*.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))))))) (*.f64 (sqrt.f64 2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))) (sqrt.f64 (PI.f64)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 z z)) (sqrt.f64 (PI.f64))))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125)))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) (*.f64 (exp.f64 -15/2) 1/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 1/6 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)))))))))) (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) (+.f64 13/30 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)))) (sqrt.f64 (PI.f64)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 z)) (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)) 1106209385320415913103082059/4200000000000000000000000) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000)) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) -1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (/.f64 z -1106209385320415913103082059/4200000000000000000000000))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 z)))
(/.f64 (pow.f64 1 1/2) (/.f64 (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (PI.f64) 2))) 1/2) (/.f64 (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (PI.f64) 2)))) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (PI.f64) 2)))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (PI.f64) 2)))) (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))))
(pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 1)
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) 2)
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) 3)
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 3) 1/3)
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) 2))
(fabs.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z)))
(fabs.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 3))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000) 3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000) 3) (/.f64 (pow.f64 z -2) z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 1106209385320415913103082059/4200000000000000000000000) 3) (pow.f64 z 3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) 1))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 -15/2 z))))

localize56.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 147 to 91 computations (38.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
0.0ms
z
@inf
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
0.0ms
z
@-inf
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))

rewrite57.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1102×times-frac
934×*-commutative
746×unswap-sqr
578×swap-sqr
460×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
121421
2252521
Stop Event
node limit
Counts
1 → 61
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (log1p.f64 (PI.f64))) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (PI.f64))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) 1) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (PI.f64)) 1) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 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-2))) 1) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))))

simplify50.0ms (0.1%)

Algorithm
egg-herbie
Rules
1360×associate-*r/
1220×associate-/r*
1004×associate-/l/
962×associate-*l/
682×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02082595
15272551
219682521
Stop Event
node limit
Counts
73 → 109
Calls
Call 1
Inputs
(/.f64 1 z)
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(/.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 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(-.f64 (/.f64 (exp.f64 (log1p.f64 (PI.f64))) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64))))
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) 1) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (sqrt.f64 (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (PI.f64))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) 1) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) 1) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) -1) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (neg.f64 (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 (sin.f64 (*.f64 (PI.f64) z)))) 1) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) 1) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(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))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(/.f64 1 z)
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z))
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z)))
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 -7/360 (pow.f64 z 3)))))
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 (*.f64 (pow.f64 (PI.f64) 4) 7/360) (pow.f64 z 3) (/.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(fma.f64 -1 (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 (pow.f64 (PI.f64) 6) 1/840))) (fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z))))
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 -7/360 (pow.f64 z 3))))) (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 4) (*.f64 -7/360 (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 (PI.f64) 6) 1/840))))
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 (*.f64 (pow.f64 (PI.f64) 4) 7/360) (pow.f64 z 3) (/.f64 1 z))) (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 6) -7/360) (*.f64 (pow.f64 (PI.f64) 6) 1/840))))
(/.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 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) -1)
(/.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 (/.f64 (exp.f64 (log1p.f64 (PI.f64))) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(-.f64 (/.f64 (exp.f64 (log1p.f64 (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (/.f64 (exp.f64 (log1p.f64 (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 -1 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (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 (sqrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (/.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)))
(*.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2) (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) 1) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))))
(*.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))) (sqrt.f64 -1))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 -1)))
(/.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2))) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) -1))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (sqrt.f64 (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (/.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)))
(*.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (PI.f64))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) 1) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (/.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)))
(*.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))))
(*.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))) (sqrt.f64 -1))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 -1)))
(/.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2) (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) 1) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) -1) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) 1) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (PI.f64) (*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))))
(/.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))))
(/.f64 (PI.f64) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))))
(/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) 1) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (/.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)))
(*.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (/.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)))
(*.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (/.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)))
(*.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)))
(/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 1) (+.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 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 3)) (+.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (pow.f64 (exp.f64 2) (log1p.f64 (/.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 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(/.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 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(/.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))))
(expm1.f64 (log1p.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))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))

localize140.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 -9487795309719323173/900000000000000000 z)
1.0b
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))
Compiler

Compiled 390 to 304 computations (22.1% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(*.f64 -9487795309719323173/900000000000000000 z)
0.0ms
z
@inf
(*.f64 -9487795309719323173/900000000000000000 z)
0.0ms
z
@-inf
(*.f64 -9487795309719323173/900000000000000000 z)

rewrite63.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
922×associate-*l*
904×add-sqr-sqrt
884×*-un-lft-identity
842×pow1
828×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211127
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -9487795309719323173/900000000000000000 z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -9487795309719323173/900000000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -9487795309719323173/900000000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 90018259839131987534406216741214787929/810000000000000000000000000000000000 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -9487795309719323173/900000000000000000) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -9487795309719323173/900000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -9487795309719323173/900000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -9487795309719323173/900000000000000000 z)))))))

simplify58.0ms (0.1%)

Algorithm
egg-herbie
Rules
846×log-prod
814×+-commutative
770×associate-+r-
696×fma-def
670×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033143
18377
226077
3180277
4405877
5651477
Stop Event
node limit
Counts
11 → 13
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 1) 1)
(pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 1)
(pow.f64 (sqrt.f64 (*.f64 -9487795309719323173/900000000000000000 z)) 2)
(pow.f64 (cbrt.f64 (*.f64 -9487795309719323173/900000000000000000 z)) 3)
(pow.f64 (pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 3) 1/3)
(sqrt.f64 (*.f64 90018259839131987534406216741214787929/810000000000000000000000000000000000 (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 -9487795309719323173/900000000000000000) z))
(cbrt.f64 (pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 3))
(expm1.f64 (log1p.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(exp.f64 (log.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(log1p.f64 (expm1.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
Outputs
(-.f64 (+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 1) 1)
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)
(pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 1)
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)
(pow.f64 (sqrt.f64 (*.f64 -9487795309719323173/900000000000000000 z)) 2)
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)
(pow.f64 (cbrt.f64 (*.f64 -9487795309719323173/900000000000000000 z)) 3)
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)
(pow.f64 (pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 3) 1/3)
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)
(sqrt.f64 (*.f64 90018259839131987534406216741214787929/810000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)
(log.f64 (pow.f64 (exp.f64 -9487795309719323173/900000000000000000) z))
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)
(cbrt.f64 (pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 3))
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)
(expm1.f64 (log1p.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)
(exp.f64 (log.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)
(log1p.f64 (expm1.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(+.f64 (*.f64 -9487795309719323173/900000000000000000 z) 0)
(*.f64 -9487795309719323173/900000000000000000 z)

localize216.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
1.0b
(+.f64 (/.f64 (-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
1.0b
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 670 to 551 computations (17.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (/.f64 (-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
0.0ms
z
@inf
(+.f64 (/.f64 (-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
0.0ms
z
@-inf
(+.f64 (/.f64 (-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))

rewrite104.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1554×associate-/l/
448×add-sqr-sqrt
426×+-commutative
422×add-exp-log
422×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01857
143551
2641251
Stop Event
node limit
Counts
1 → 75
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
Outputs
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simplify99.0ms (0.1%)

Algorithm
egg-herbie
Rules
1688×associate-*r/
1598×associate-*l/
760×+-commutative
500×associate-/r*
494×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03317517
110357269
242157265
Stop Event
node limit
Counts
87 → 166
Calls
Call 1
Inputs
4560878540298521/15000000000000
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(/.f64 (+.f64 (-.f64 1 z) (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (+.f64 z -2)) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531))) (*.f64 (-.f64 1 z) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)))
(/.f64 (+.f64 (*.f64 (-.f64 1 z) 7713234287776531/10000000000000) (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (+.f64 z -2)) (-.f64 3 z))) (*.f64 (-.f64 1 z) (-.f64 3 z)))
(/.f64 (+.f64 (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (+.f64 z -2)) (+.f64 -3 z)) (*.f64 (-.f64 1 z) -7713234287776531/10000000000000)) (*.f64 (-.f64 1 z) (+.f64 -3 z)))
(/.f64 (+.f64 (*.f64 (-.f64 469507597606837/5000000000000 (*.f64 -5826188486005177/10000000000000 z)) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (*.f64 (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z))) 1)) (*.f64 (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z))) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)))
(/.f64 (+.f64 (*.f64 (-.f64 469507597606837/5000000000000 (*.f64 -5826188486005177/10000000000000 z)) (-.f64 3 z)) (*.f64 (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z))) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z))) (-.f64 3 z)))
(/.f64 (+.f64 (*.f64 (-.f64 469507597606837/5000000000000 (*.f64 -5826188486005177/10000000000000 z)) (+.f64 -3 z)) (*.f64 (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z))) -7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z))) (+.f64 -3 z)))
(/.f64 (+.f64 (*.f64 (+.f64 z -2) (-.f64 1 z)) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000))) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (*.f64 (+.f64 z -2) (-.f64 1 z))))
(/.f64 (+.f64 (*.f64 (-.f64 1 z) (/.f64 (+.f64 z -2) (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000))) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) 1)) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (*.f64 (-.f64 1 z) (/.f64 (+.f64 z -2) (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)))))
(/.f64 (+.f64 (-.f64 1 z) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (+.f64 z -2)))) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (-.f64 1 z)))
(/.f64 (+.f64 (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z))) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (-.f64 469507597606837/5000000000000 (*.f64 -5826188486005177/10000000000000 z)))) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z)))))
(/.f64 (+.f64 (-.f64 3 z) (*.f64 7713234287776531/10000000000000 (*.f64 (-.f64 1 z) (/.f64 (+.f64 z -2) (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000))))) (*.f64 (-.f64 3 z) (*.f64 (-.f64 1 z) (/.f64 (+.f64 z -2) (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)))))
(/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (-.f64 1 z)) (*.f64 (-.f64 3 z) (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (+.f64 z -2)))) (*.f64 (-.f64 3 z) (-.f64 1 z)))
(/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z)))) (*.f64 (-.f64 3 z) (-.f64 469507597606837/5000000000000 (*.f64 -5826188486005177/10000000000000 z)))) (*.f64 (-.f64 3 z) (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (*.f64 (+.f64 z -2) (-.f64 1 z))) (*.f64 (+.f64 -3 z) (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000))) (*.f64 (+.f64 -3 z) (*.f64 (+.f64 z -2) (-.f64 1 z))))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (*.f64 (-.f64 1 z) (/.f64 (+.f64 z -2) (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)))) (*.f64 (+.f64 -3 z) 1)) (*.f64 (+.f64 -3 z) (*.f64 (-.f64 1 z) (/.f64 (+.f64 z -2) (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000)))))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (-.f64 1 z)) (*.f64 (+.f64 -3 z) (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (+.f64 z -2)))) (*.f64 (+.f64 -3 z) (-.f64 1 z)))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z)))) (*.f64 (+.f64 -3 z) (-.f64 469507597606837/5000000000000 (*.f64 -5826188486005177/10000000000000 z)))) (*.f64 (+.f64 -3 z) (*.f64 (+.f64 z -2) (neg.f64 (-.f64 1 z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) 2) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))) (neg.f64 (-.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) 3) (/.f64 -458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 -3 z) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (-.f64 3 z) (*.f64 (+.f64 z -2) (*.f64 (-.f64 1 z) 7713234287776531/10000000000000)))) (neg.f64 (*.f64 (+.f64 z -2) (*.f64 (-.f64 1 z) (-.f64 3 z)))))
(pow.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (/.f64 (/.f64 1 (+.f64 z -2)) (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z)))) (sqrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z)))) 2) (cbrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z -469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
Outputs
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000)
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (*.f64 295755570232608827/540000000000000 (*.f64 z z))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) (*.f64 z (*.f64 z 295755570232608827/540000000000000)))
(+.f64 4560878540298521/15000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (*.f64 z z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
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(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
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(/.f64 -943522900885677/5000000000000 z)
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(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
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(-.f64 (*.f64 (/.f64 -5826188486005177/10000000000000 (+.f64 z -2)) (/.f64 z (-.f64 1 z))) (-.f64 (/.f64 (/.f64 469507597606837/5000000000000 (-.f64 1 z)) (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (-.f64 (*.f64 (/.f64 -5826188486005177/10000000000000 (+.f64 z -2)) (/.f64 z (-.f64 1 z))) (/.f64 469507597606837/5000000000000 (*.f64 (+.f64 z -2) (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(-.f64 (fma.f64 (/.f64 -5826188486005177/10000000000000 (+.f64 z -2)) (/.f64 z (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (/.f64 469507597606837/5000000000000 (-.f64 1 z)) (+.f64 z -2)))
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(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (/.f64 (fma.f64 z -5826188486005177/10000000000000 -469507597606837/5000000000000) (+.f64 z -2)) (-.f64 1 z)))

eval1.3s (1.6%)

Compiler

Compiled 91069 to 70932 computations (22.1% saved)

prune726.0ms (0.9%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New1253111264
Fresh121426
Picked101
Done6410
Total1272291301
Error
0.0b
Counts
1301 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 4200000000000000000000000/1106209385320415913103082059) z)
1.8b
(/.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
1.8b
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))
1.8b
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))))
1.7b
(*.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (/.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)))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.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 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 1) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 1) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 28038845331433078297/30000000000000000 (*.f64 z 6860006741874619/9000000000000))) 1) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
0.9b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (-.f64 (*.f64 -5826188486005177/10000000000000 z) 469507597606837/5000000000000) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 z -2) 6765203681218851/10000000000000)) (*.f64 (+.f64 z -2) (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.7b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.3b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
1.6b
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Compiler

Compiled 1900 to 1573 computations (17.2% saved)

regimes143.0ms (0.2%)

Counts
63 → 1
Calls
Call 1
Inputs
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(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
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(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
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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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 7902188421553103227/30000000000000000))
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(*.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (/.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 (-.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 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (*.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 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 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 1 (-.f64 1 z))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.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 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z -1) 3)) (pow.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)) (+.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (*.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 1) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Calls

2 calls:

27.0ms
(*.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)))))
22.0ms
z
Results
ErrorSegmentsBranch
0.5b1z
0.5b1(*.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 4108 to 3174 computations (22.7% saved)

regimes52.0ms (0.1%)

Counts
37 → 1
Calls
Call 1
Inputs
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(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.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 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
Calls

1 calls:

13.0ms
z
Results
ErrorSegmentsBranch
0.5b1z
Compiler

Compiled 1709 to 1262 computations (26.2% saved)

regimes50.0ms (0.1%)

Counts
36 → 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 1) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.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 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 28038845331433078297/30000000000000000 (*.f64 z 6860006741874619/9000000000000))) 1) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.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 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.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 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Calls

1 calls:

14.0ms
z
Results
ErrorSegmentsBranch
0.5b1z
Compiler

Compiled 1633 to 1204 computations (26.3% saved)

regimes40.0ms (0%)

Counts
31 → 1
Calls
Call 1
Inputs
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(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))
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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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 7902188421553103227/30000000000000000))
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
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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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))))
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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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 28038845331433078297/30000000000000000 (*.f64 z 6860006741874619/9000000000000))) 1) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
Calls

1 calls:

11.0ms
z
Results
ErrorSegmentsBranch
1.0b1z
Compiler

Compiled 1260 to 920 computations (27% saved)

regimes35.0ms (0%)

Counts
28 → 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 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (*.f64 z 6764801184542762983/90000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 z 7713234287776531/90000000000000) 7743234287776525297/30000000000000000))) 1) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
Calls

1 calls:

11.0ms
z
Results
ErrorSegmentsBranch
1.1b1z
Compiler

Compiled 1065 to 777 computations (27% saved)

regimes22.0ms (0%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 4200000000000000000000000/1106209385320415913103082059) z)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 7902188421553103227/30000000000000000))
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Calls

1 calls:

8.0ms
z
Results
ErrorSegmentsBranch
1.6b1z
Compiler

Compiled 607 to 443 computations (27% saved)

regimes21.0ms (0%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 4200000000000000000000000/1106209385320415913103082059) z)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 7902188421553103227/30000000000000000))
(*.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
Outputs
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Calls

1 calls:

9.0ms
z
Results
ErrorSegmentsBranch
1.6b1z
Compiler

Compiled 559 to 409 computations (26.8% saved)

regimes11.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 4200000000000000000000000/1106209385320415913103082059) z)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
Outputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Calls

1 calls:

5.0ms
z
Results
ErrorSegmentsBranch
1.7b1z
Compiler

Compiled 230 to 183 computations (20.4% saved)

regimes8.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 4200000000000000000000000/1106209385320415913103082059) z)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 4200000000000000000000000/1106209385320415913103082059) z)
Calls

1 calls:

4.0ms
z
Results
ErrorSegmentsBranch
1.7b1z
Compiler

Compiled 128 to 100 computations (21.9% saved)

regimes6.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))))
Outputs
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))
Calls

1 calls:

3.0ms
z
Results
ErrorSegmentsBranch
1.8b1z
Compiler

Compiled 82 to 65 computations (20.7% saved)

regimes5.0ms (0%)

Accuracy

Total -0.6b remaining (-30.8%)

Threshold costs -0.6b (-30.8%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
Outputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
Calls

1 calls:

3.0ms
z
Results
ErrorSegmentsBranch
1.8b1z
Compiler

Compiled 40 to 33 computations (17.5% saved)

simplify179.0ms (0.2%)

Algorithm
egg-herbie
Rules
990×distribute-lft-neg-in
876×*-commutative
588×+-commutative
534×distribute-neg-in
490×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01651808
12801800
23011800
33401800
44001800
54771800
65451800
75821800
86221800
96711800
107861800
119811800
1212351800
1315151800
1418141800
1521511800
1624951800
1727441800
1829121800
1931141800
2031161800
2131261800
2231361800
2331681800
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 1) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 (+.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 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.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 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.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 -15/2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2))) 4200000000000000000000000/1106209385320415913103082059) z)
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 z (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) 1) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z)))))))))
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Compiler

Compiled 593 to 484 computations (18.4% saved)

soundness305.0ms (0.4%)

Algorithm
egg-herbie
Rules
1204×associate-/r*
820×associate-/l*
724×associate-+r-
702×associate-+l-
684×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064311
1163293
2616237
34046229
Stop Event
node limit
Compiler

Compiled 11292 to 9262 computations (18% saved)

end226.0ms (0.3%)

Compiler

Compiled 582 to 447 computations (23.2% saved)

Profiling

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