Details

Time bar (total: 1.9min)

analyze596.0ms (0.5%)

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

Compiled 127 to 112 computations (11.8% saved)

sample1.2min (62.7%)

Results
1.1min3891×body8192exit
5.8s8256×body256valid
45.0ms90×body256infinite
43.0ms86×body256unsamplable
Bogosity

preprocess59.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
1058×rational_best-simplify-55
926×rational_best-simplify-1
788×rational_best-simplify-56
786×rational_best-simplify-54
760×rational_best-simplify-65
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064311
1147273
2344269
3951257
42574257
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify65.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1058×rational_best-simplify-55
926×rational_best-simplify-1
788×rational_best-simplify-56
786×rational_best-simplify-54
760×rational_best-simplify-65
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064311
1147273
2344269
3951257
42574257
Stop Event
1×node limit
Counts
1 → 6
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 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))

eval8.0ms (0%)

Compiler

Compiled 556 to 423 computations (23.9% saved)

prune21.0ms (0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New066
Fresh011
Picked000
Done000
Total077
Error
0.2b
Counts
7 → 6
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)))))
▶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 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
▶1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
▶0.7b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
▶0.8b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
▶0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 1122 to 896 computations (20.1% saved)

localize199.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.9b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
✓0.9b
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))
✓1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
Compiler

Compiled 506 to 344 computations (32% saved)

series4.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
1.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
1.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
0.0ms
z
@inf
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))
0.0ms
z
@inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

rewrite133.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
818×rational_best-simplify-1
576×rational_best-simplify-47
530×rational_best-simplify-80
480×rational_best-simplify-63
474×rational_best-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032124
1229120
2482104
31453104
45949104
Stop Event
1×node limit
Counts
4 → 160
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
Outputs
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simplify146.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1518×rational_best-simplify-63
1434×rational_best-simplify-67
1136×rational_best-simplify-54
930×rational_best-simplify-47
746×rational_best-simplify-108
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04877576
113276752
243846386
Stop Event
1×node limit
Counts
196 → 284
Calls
Call 1
Inputs
469507597606837/10000000000000
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371756020978964147/150000000000000000
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(-.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 0 (exp.f64 (-.f64 15/2 z))) 0))
(-.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 0 (exp.f64 (-.f64 15/2 z))) (/.f64 0 (exp.f64 (-.f64 15/2 z)))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (neg.f64 (/.f64 0 (exp.f64 (-.f64 15/2 z)))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 2 (exp.f64 (-.f64 15/2 z)))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) 2))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 1)
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z))))
(/.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) 2)) 2)
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) 2)) (/.f64 (*.f64 2 (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)) (exp.f64 15/2))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -15/2)) (exp.f64 (neg.f64 z)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 2) (/.f64 (exp.f64 (-.f64 15/2 z)) 2))
(/.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))))
(/.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (exp.f64 (-.f64 15/2 z)) 4))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 4 (exp.f64 (-.f64 15/2 z)))) 4)
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 4 (exp.f64 (-.f64 15/2 z)))) (/.f64 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (exp.f64 (-.f64 15/2 z))))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 15/2)) (/.f64 2 (exp.f64 z)))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (neg.f64 z))) (*.f64 2 (exp.f64 15/2)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))) (+.f64 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 4 (exp.f64 (-.f64 15/2 z)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 4 (exp.f64 (-.f64 15/2 z))))) 8)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z))) (*.f64 2 (exp.f64 15/2)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -15/2))) (/.f64 2 (exp.f64 z)))
(/.f64 (*.f64 4 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))) (*.f64 4 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))) (*.f64 2 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))))
(/.f64 (*.f64 4 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 4 (exp.f64 (-.f64 15/2 z))))) 16)
(/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) 2)) (exp.f64 (-.f64 15/2 z))) (*.f64 2 (exp.f64 (+.f64 -15/2 z))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (exp.f64 15/2) (exp.f64 (-.f64 15/2 z))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -15/2)) (exp.f64 (-.f64 15/2 z))) (/.f64 (exp.f64 (neg.f64 z)) (exp.f64 (-.f64 15/2 z))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 4 (exp.f64 (-.f64 15/2 z)))) (exp.f64 (-.f64 15/2 z))) (/.f64 4 (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 8 (+.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))))) (*.f64 (+.f64 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))) 8))
(/.f64 (*.f64 4 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (*.f64 2 (exp.f64 (-.f64 15/2 z))) 4))
(/.f64 (*.f64 8 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))) (*.f64 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) 8))
(/.f64 (*.f64 2 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (neg.f64 z)))) (*.f64 (*.f64 2 (exp.f64 15/2)) 2))
(/.f64 (*.f64 4 (+.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))))) (*.f64 (*.f64 2 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))) 4))
(/.f64 (*.f64 4 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 15/2 z)) 4))
(/.f64 (*.f64 2 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 15/2))) (*.f64 (/.f64 2 (exp.f64 z)) 2))
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (*.f64 2 (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))) (*.f64 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (exp.f64 (-.f64 15/2 z)))
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) 2))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z))) (*.f64 (exp.f64 15/2) (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -15/2))) (*.f64 (exp.f64 (neg.f64 z)) (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 4 (exp.f64 (-.f64 15/2 z))))) (*.f64 (exp.f64 (-.f64 15/2 z)) 4))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) 1/2) (/.f64 (*.f64 2 (exp.f64 (-.f64 15/2 z))) 1/2))
(/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))) (+.f64 (/.f64 4 (exp.f64 (-.f64 15/2 z))) (/.f64 4 (exp.f64 (-.f64 15/2 z))))) 64)
(/.f64 (*.f64 (+.f64 (/.f64 4 (exp.f64 (-.f64 15/2 z))) (/.f64 4 (exp.f64 (-.f64 15/2 z)))) (+.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))))) 64)
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 (*.f64 2 (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 15/2 z)))) 4)
(/.f64 (*.f64 (/.f64 (*.f64 2 (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (*.f64 2 (sqrt.f64 2))) 4)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 4 (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))) 16)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 4 (sqrt.f64 2))) (+.f64 (*.f64 2 (sqrt.f64 (PI.f64))) (*.f64 2 (sqrt.f64 (PI.f64))))) 16)
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 (/.f64 4 (exp.f64 (-.f64 15/2 z))) (/.f64 4 (exp.f64 (-.f64 15/2 z))))) 16)
(/.f64 (*.f64 (*.f64 2 (exp.f64 (+.f64 -15/2 z))) (+.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))))) 16)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z))) (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))) 4)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))) (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))) 1)
(/.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (*.f64 2 (sqrt.f64 (PI.f64)))) 1)
(/.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))) (+.f64 (*.f64 2 (sqrt.f64 (PI.f64))) (*.f64 2 (sqrt.f64 (PI.f64))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 1)
Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)))
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (pow.f64 z 2)) (/.f64 5826188486005177/10000000000000 z))
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(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 1 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
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(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
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(+.f64 (/.f64 3683516130645841/2000000000000 (pow.f64 z 2)) (+.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)))
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(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 1 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (pow.f64 z 2)) (/.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 1 (pow.f64 z 2))) (+.f64 (*.f64 1 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 1 (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 1 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (pow.f64 z 2)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 z 446800080651085577/900000000000000000) (*.f64 (pow.f64 z 2) 536852952257631293/5400000000000000000)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 446800080651085577/900000000000000000 z) (*.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3)))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000) (+.f64 (*.f64 z 446800080651085577/900000000000000000) (*.f64 (pow.f64 z 2) 536852952257631293/5400000000000000000))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 z 446800080651085577/900000000000000000) (+.f64 (*.f64 (pow.f64 z 2) 536852952257631293/5400000000000000000) (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (+.f64 (*.f64 z 446800080651085577/900000000000000000) (*.f64 (pow.f64 z 2) 536852952257631293/5400000000000000000)) (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000)))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 1 (/.f64 1542632245546005107/25000000000000000 (pow.f64 z 2))) (*.f64 1 (/.f64 154609652292764811/12500000000000000 z))))
(-.f64 (neg.f64 (/.f64 154609652292764811/12500000000000000 z)) (/.f64 1542632245546005107/25000000000000000 (pow.f64 z 2)))
(neg.f64 (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 1 (/.f64 154609652292764811/12500000000000000 z)) (+.f64 (*.f64 1 (/.f64 1542632245546005107/25000000000000000 (pow.f64 z 2))) (*.f64 1 (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3))))))
(neg.f64 (+.f64 (*.f64 1 (/.f64 1542632245546005107/25000000000000000 (pow.f64 z 2))) (+.f64 (*.f64 1 (/.f64 154609652292764811/12500000000000000 z)) (*.f64 1 (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3))))))
(-.f64 (neg.f64 (/.f64 1542632245546005107/25000000000000000 (pow.f64 z 2))) (+.f64 (/.f64 154609652292764811/12500000000000000 z) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 3))))
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(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (exp.f64 (-.f64 15/2 z))))) 4)
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 4 (sqrt.f64 (PI.f64))) (exp.f64 (neg.f64 (-.f64 15/2 z))))) 4)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 4 (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))) 16)
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 4 (exp.f64 (+.f64 z -15/2))))) 16)
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 16)) 16)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 4 (sqrt.f64 2))) (+.f64 (*.f64 2 (sqrt.f64 (PI.f64))) (*.f64 2 (sqrt.f64 (PI.f64))))) 16)
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 4 (exp.f64 (+.f64 z -15/2))))) 16)
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 16)) 16)
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 (/.f64 4 (exp.f64 (-.f64 15/2 z))) (/.f64 4 (exp.f64 (-.f64 15/2 z))))) 16)
(/.f64 (*.f64 4 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z)))) 4)
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 4 (exp.f64 (-.f64 15/2 z)))) 4)
(/.f64 (*.f64 (*.f64 2 (exp.f64 (+.f64 -15/2 z))) (+.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))))) 16)
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 4 (exp.f64 (+.f64 z -15/2))))) 16)
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 16)) 16)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z))) (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))) 4)
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 2)) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 15/2 z)))) 4)
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4 (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))) 4)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))) (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2)))) 1)
(*.f64 (*.f64 4 (sqrt.f64 2)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 4 (exp.f64 (-.f64 15/2 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 4 (sqrt.f64 2)) (*.f64 4 (exp.f64 (-.f64 15/2 z)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (*.f64 2 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (sqrt.f64 (*.f64 2 (PI.f64))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))) (+.f64 (*.f64 2 (sqrt.f64 (PI.f64))) (*.f64 2 (sqrt.f64 (PI.f64))))) 1)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (sqrt.f64 (*.f64 2 (PI.f64))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))

localize357.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))
✓1.0b
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 537 to 383 computations (28.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite135.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1236×rational_best-simplify-85
640×rational_best-simplify-83
498×rational_best-simplify-1
488×rational_best-simplify-86
446×rational_best-simplify-63
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026108
1184108
2391104
31177104
45503104
Stop Event
1×node limit
Counts
2 → 121
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
Outputs
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simplify215.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1456×rational_best-simplify-57
722×rational_best-simplify-1
662×rational_best-simplify-11
646×rational_best-simplify-14
618×rational_best-simplify-13
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03869583
110089443
226539223
372119115
Stop Event
1×node limit
Counts
145 → 276
Calls
Call 1
Inputs
469507597606837/10000000000000
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9999999999998099/10000000000000000
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Outputs
469507597606837/10000000000000
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(-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 -9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
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localize390.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))
✓1.0b
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.8b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
Compiler

Compiled 539 to 385 computations (28.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite137.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1456×rational_best-simplify-85
802×rational_best-simplify-47
594×rational_best-simplify-83
482×rational_best-simplify-1
432×rational_best-simplify-63
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026114
1184114
2387110
31141110
45833110
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
Outputs
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simplify395.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1472×rational_best-simplify-57
656×rational_best-simplify-11
640×rational_best-simplify-14
616×rational_best-simplify-66
602×rational_best-simplify-13
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03799620
19639376
224059190
360679022
Stop Event
1×node limit
Counts
148 → 308
Calls
Call 1
Inputs
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
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Outputs
479507597606835099/10000000000000000
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(+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/1250000000000 (+.f64 z -2)))) (/.f64 -6765203681218851/5000000000000 (+.f64 z -1))) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))) (/.f64 7713234287776531/5000000000000 (-.f64 3 z))) 2)
(/.f64 (+.f64 (/.f64 -883075145810703/2500000000000 (-.f64 4 z)) (+.f64 (/.f64 -6765203681218851/5000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 3147848041806007/1250000000000 (+.f64 z -2)) 9999999999998099/5000000000000000) (/.f64 7713234287776531/5000000000000 (-.f64 3 z))))) 2)
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(+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (+.f64 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/1250000000000 (+.f64 z -2)))) (/.f64 -6765203681218851/5000000000000 (+.f64 z -1)))) 2)
(/.f64 (+.f64 (/.f64 -883075145810703/2500000000000 (-.f64 4 z)) (+.f64 (/.f64 -6765203681218851/5000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 3147848041806007/1250000000000 (+.f64 z -2)) 9999999999998099/5000000000000000) (/.f64 7713234287776531/5000000000000 (-.f64 3 z))))) 2)
(+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
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(-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))
(-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))
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(-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))))
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(+.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
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(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1))))
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localize456.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.9b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
✓1.0b
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
✓1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 534 to 373 computations (30.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
0.0ms
z
@-inf
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
0.0ms
z
@inf
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
0.0ms
z
@inf
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
0.0ms
z
@0
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))

rewrite155.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
732×rational_best-simplify-83
626×rational_best-simplify-63
600×rational_best-4
600×rational_best-2
600×rational_best-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034167
1244163
2540139
31750139
47333139
Stop Event
1×node limit
Counts
3 → 144
Calls
Call 1
Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
Outputs
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simplify533.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1170×rational_best-simplify-53
1112×rational_best-simplify-57
1098×rational_best-simplify-49
698×rational_best-simplify-1
590×rational_best-simplify-59
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049011904
1128611500
2349610944
Stop Event
1×node limit
Counts
180 → 342
Calls
Call 1
Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
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7827144361880981797/30000000000000000
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9999999999998099/10000000000000000
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(*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 1)
(*.f64 1/2 (+.f64 (+.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)))) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))))
(*.f64 (+.f64 (+.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)))) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))) 1/2)
(*.f64 (*.f64 2 (+.f64 (+.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)))) (/.f64 -883075145810703/2500000000000 (-.f64 4 z)))) 1/4)
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 1)
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(/.f64 (+.f64 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z))) (+.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -883075145810703/2500000000000 (-.f64 4 z)))) 2)
(/.f64 (+.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z))) (/.f64 -883075145810703/2500000000000 (-.f64 4 z)))) 2)
(/.f64 (+.f64 (+.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/2500000000000 (-.f64 4 z)) (/.f64 7713234287776531/5000000000000 (-.f64 3 z)))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 -883075145810703/2500000000000 (-.f64 4 z)) (/.f64 7713234287776531/5000000000000 (-.f64 3 z))) (+.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)))) 2)
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z))) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2)
(/.f64 (+.f64 (+.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))) (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)))) 2)
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 1)
(neg.f64 (-.f64 (/.f64 883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(neg.f64 (-.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (-.f64 -9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(neg.f64 (-.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)))))
(neg.f64 (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 0 (exp.f64 (-.f64 15/2 z))))
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(+.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 2 (exp.f64 (-.f64 15/2 z)))))
(+.f64 (/.f64 0 (exp.f64 (-.f64 15/2 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(-.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 0)
(-.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 0 (exp.f64 (-.f64 15/2 z))))
(-.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 0 (exp.f64 (-.f64 15/2 z))) 0))
(-.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 0 (exp.f64 (-.f64 15/2 z))) (/.f64 0 (exp.f64 (-.f64 15/2 z)))))
(-.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (neg.f64 (/.f64 0 (exp.f64 (-.f64 15/2 z)))))
(-.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) 2))
(-.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (/.f64 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 2 (exp.f64 (-.f64 15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 2 (exp.f64 (+.f64 -15/2 z)))) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 2 (exp.f64 (+.f64 -15/2 z)))) (/.f64 (*.f64 2 (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(/.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 z))) (exp.f64 15/2))
(/.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 15/2)) (exp.f64 (neg.f64 z)))
(/.f64 (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))))
(/.f64 (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 4 (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 4 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) 4)
(/.f64 (*.f64 4 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (exp.f64 (-.f64 15/2 z))))
(/.f64 (/.f64 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2)) (/.f64 2 (exp.f64 z)))
(/.f64 (/.f64 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 z))) (*.f64 2 (exp.f64 15/2)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (+.f64 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 z)))) (*.f64 2 (exp.f64 15/2)))
(/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 15/2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 15/2))) (/.f64 2 (exp.f64 z)))
(/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 4 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 8)
(/.f64 (*.f64 4 (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) 4))
(/.f64 (*.f64 (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 4 (exp.f64 (-.f64 15/2 z)))) 16)
(/.f64 (*.f64 (/.f64 4 (exp.f64 (-.f64 15/2 z))) (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 16)
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 2 (exp.f64 (+.f64 -15/2 z)))) (exp.f64 (-.f64 15/2 z))) (*.f64 2 (exp.f64 (+.f64 -15/2 z))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 z))) (exp.f64 (-.f64 15/2 z))) (/.f64 (exp.f64 15/2) (exp.f64 (-.f64 15/2 z))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 15/2)) (exp.f64 (-.f64 15/2 z))) (/.f64 (exp.f64 (neg.f64 z)) (exp.f64 (-.f64 15/2 z))))
(/.f64 (/.f64 (*.f64 4 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (exp.f64 (-.f64 15/2 z))) (/.f64 4 (exp.f64 (-.f64 15/2 z))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 1)
Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 2043081471118463/10000000000000 (pow.f64 z 2)) (/.f64 4878157879447497/10000000000000 z))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (*.f64 1 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (pow.f64 z 2)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (+.f64 (*.f64 1 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))) (*.f64 1 (/.f64 107526188432174113/10000000000000 (pow.f64 z 4)))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (+.f64 (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 1 (/.f64 107526188432174113/10000000000000 (pow.f64 z 4)))))
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(/.f64 4878157879447497/10000000000000 z)
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(+.f64 (/.f64 2043081471118463/10000000000000 (pow.f64 z 2)) (/.f64 4878157879447497/10000000000000 z))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (*.f64 1 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (pow.f64 z 2)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (+.f64 (*.f64 1 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))) (*.f64 1 (/.f64 107526188432174113/10000000000000 (pow.f64 z 4)))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (+.f64 (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 1 (/.f64 107526188432174113/10000000000000 (pow.f64 z 4)))))
(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (pow.f64 z 2)) (/.f64 4878157879447497/10000000000000 z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4))))
7827144361880981797/30000000000000000
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(/.f64 (*.f64 -2 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(+.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 0)
(/.f64 (/.f64 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 z))) (*.f64 2 (exp.f64 15/2)))
(/.f64 (-.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 -2 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(+.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 0)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (+.f64 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z))))))
(/.f64 (-.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 -2 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(+.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 0)
(/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 z)))) (*.f64 2 (exp.f64 15/2)))
(/.f64 (+.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 15/2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 15/2))) (/.f64 2 (exp.f64 z)))
(/.f64 (+.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 4 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 8)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(/.f64 (*.f64 4 (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (*.f64 2 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) 4))
(/.f64 (-.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 -2 (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 2 (exp.f64 (-.f64 15/2 z))))
(+.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 0)
(/.f64 (*.f64 (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 4 (exp.f64 (-.f64 15/2 z)))) 16)
(/.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 4) (exp.f64 (-.f64 15/2 z)))) 16)
(/.f64 (*.f64 (*.f64 4 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 4 (exp.f64 (-.f64 15/2 z)))) 16)
(/.f64 (*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 16)) 16)
(/.f64 (*.f64 (/.f64 4 (exp.f64 (-.f64 15/2 z))) (*.f64 2 (*.f64 2 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 16)
(/.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 4) (exp.f64 (-.f64 15/2 z)))) 16)
(/.f64 (*.f64 (*.f64 4 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 4 (exp.f64 (-.f64 15/2 z)))) 16)
(/.f64 (*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 16)) 16)
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (exp.f64 (+.f64 (-.f64 15/2 z) (+.f64 z -15/2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 2 (exp.f64 (+.f64 -15/2 z)))) (exp.f64 (-.f64 15/2 z))) (*.f64 2 (exp.f64 (+.f64 -15/2 z))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (exp.f64 (+.f64 (-.f64 15/2 z) (+.f64 z -15/2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 z))) (exp.f64 (-.f64 15/2 z))) (/.f64 (exp.f64 15/2) (exp.f64 (-.f64 15/2 z))))
(-.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (neg.f64 z)) (exp.f64 15/2))) (/.f64 0 (exp.f64 (-.f64 15/2 z))))
(-.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 15/2 (neg.f64 z)))) (/.f64 0 (exp.f64 (-.f64 15/2 z))))
(-.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 0 (exp.f64 (-.f64 15/2 z))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 15/2)) (exp.f64 (-.f64 15/2 z))) (/.f64 (exp.f64 (neg.f64 z)) (exp.f64 (-.f64 15/2 z))))
(-.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (neg.f64 z)) (exp.f64 15/2))) (/.f64 0 (exp.f64 (-.f64 15/2 z))))
(-.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 15/2 (neg.f64 z)))) (/.f64 0 (exp.f64 (-.f64 15/2 z))))
(-.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 0 (exp.f64 (-.f64 15/2 z))))
(/.f64 (/.f64 (*.f64 4 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (exp.f64 (-.f64 15/2 z))) (/.f64 4 (exp.f64 (-.f64 15/2 z))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 0 (exp.f64 (-.f64 15/2 z))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 1)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))

localize417.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4)))
✓1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.8b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z))))
Compiler

Compiled 720 to 611 computations (15.1% saved)

series38.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
35.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
1.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
1.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z))))
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4)))

rewrite91.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
822×rational_best-simplify-83
730×rational_best-simplify-63
698×rational_best-4
698×rational_best-2
698×rational_best-3
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041215
1289199
2621171
31943163
Stop Event
1×node limit
Counts
3 → 128
Calls
Call 1
Inputs
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4)))
Outputs
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simplify244.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1238×rational_best-simplify-47
1146×rational_best-simplify-3
1026×rational_best-simplify-57
832×rational_best-simplify-1
726×rational_best-simplify-50
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048311494
1124211210
2309610540
Stop Event
1×node limit
Counts
164 → 344
Calls
Call 1
Inputs
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 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))))))
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(/.f64 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (*.f64 2 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))) (+.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)))))) 2)
(/.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z))))) (/.f64 -883075145810703/1250000000000 (-.f64 4 z))) 4)
(/.f64 (+.f64 (*.f64 2 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))) (+.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2))))) (/.f64 7713234287776531/5000000000000 (-.f64 3 z))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)))) 2)
(pow.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1)
Outputs
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 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)))
(+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3))))
(+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (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))))
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(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (pow.f64 z 2))))
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9999999999998099/10000000000000000
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(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
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(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (pow.f64 z 2))))
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(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))
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(/.f64 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (*.f64 2 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))) 2)
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(/.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))))) 2)
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(/.f64 (+.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))))) 2)
(pow.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1)
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(+.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 -883075145810703/5000000000000 (-.f64 4 z)))))

eval4.8s (4.3%)

Compiler

Compiled 162919 to 120218 computations (26.2% saved)

prune1.3s (1.1%)

Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New1785311816
Fresh011
Picked101
Done404
Total1790321822
Error
0.0b
Counts
1822 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
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2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
2.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
1.0b
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1.0b
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1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 883075145810703/5000000000000 (-.f64 4 z))) -9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
54.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
▶0.5b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.3b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (-.f64 15/2 z)))) (*.f64 2 (exp.f64 (+.f64 z -15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)) (exp.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
1.4b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.8b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.5b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))) -9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
0.8b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
0.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))) (-.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
62.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
0.8b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.5b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
▶1.9b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.4b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
▶1.5b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
▶0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.4b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.8b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
▶54.6b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 5016 to 3860 computations (23% saved)

localize403.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))
✓1.0b
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))
✓1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
Compiler

Compiled 573 to 401 computations (30% saved)

series8.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
z
@0
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))
3.0ms
z
@-inf
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))
1.0ms
z
@inf
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))

rewrite177.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
950×rational_best-simplify-89
814×rational_best-simplify-78
814×rational_best-simplify-52
694×rational_best-simplify-55
592×rational_best-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01874
113270
237842
3181842
Stop Event
1×node limit
Counts
2 → 302
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))
Outputs
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simplify446.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1432×rational_best-simplify-49
1392×rational_best-simplify-53
1212×rational_best-simplify-55
890×rational_best-simplify-50
870×rational_best-simplify-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071120040
1240218692
Stop Event
1×node limit
Counts
314 → 460
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2))) (sqrt.f64 (PI.f64)))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))) (/.f64 1 (exp.f64 (neg.f64 (-.f64 15/2 z)))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 1)
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (-.f64 15/2 z)))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 1 (exp.f64 (+.f64 z -15/2))) (exp.f64 (-.f64 15/2 z))))
(*.f64 1 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 1 (*.f64 2 (exp.f64 (-.f64 15/2 z)))))
(*.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 1 (/.f64 2 (exp.f64 (+.f64 z -15/2)))))
(*.f64 (*.f64 2 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z))))) (/.f64 1 (*.f64 2 (exp.f64 (+.f64 z -15/2)))))
(*.f64 (*.f64 2 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z))))) (/.f64 1 (/.f64 2 (exp.f64 (-.f64 15/2 z)))))
(*.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) 1/2)
(*.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 1 (/.f64 (*.f64 2 (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z)))))
(*.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 1 (/.f64 (*.f64 2 (exp.f64 (+.f64 z -15/2))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (/.f64 1 (exp.f64 (*.f64 2 (-.f64 15/2 z)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (/.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (/.f64 1 (*.f64 2 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (/.f64 1 (/.f64 (*.f64 2 (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 z))) (/.f64 1 (exp.f64 -15/2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z (-.f64 15/2 z)))) (/.f64 1 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 -15/2))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4) (/.f64 1 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)))
(*.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 4) 1/4)
(*.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 4) (/.f64 1 (/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 4) (exp.f64 (-.f64 15/2 z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 4) (/.f64 1 (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 4) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))) 4) (/.f64 1 (*.f64 (exp.f64 (+.f64 z -15/2)) 4)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))) (exp.f64 -15/2)) (/.f64 1 (exp.f64 z)))
(*.f64 (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 -15/2)) (/.f64 1 (exp.f64 (+.f64 z (-.f64 15/2 z)))))
(*.f64 (/.f64 (*.f64 2 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z))))) (exp.f64 -15/2)) (/.f64 1 (*.f64 2 (exp.f64 z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (neg.f64 (exp.f64 (-.f64 15/2 z)))) (/.f64 1 (neg.f64 (exp.f64 (-.f64 15/2 z)))))
(*.f64 1/2 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (/.f64 1 (exp.f64 (*.f64 2 (-.f64 15/2 z)))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (/.f64 1 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 1 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))
(*.f64 (/.f64 1 (exp.f64 (+.f64 z -15/2))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))
(*.f64 (/.f64 1 (*.f64 2 (exp.f64 (+.f64 z -15/2)))) (*.f64 2 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (/.f64 1 (exp.f64 -15/2)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 z))))
(*.f64 (/.f64 1 (*.f64 (exp.f64 (+.f64 z -15/2)) 4)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))) 4))
(*.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4)) (/.f64 1 (*.f64 2 (*.f64 (exp.f64 (-.f64 15/2 z)) 4))))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 z))) (/.f64 1 (*.f64 (exp.f64 -15/2) 2)))
(*.f64 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))) 4)) (/.f64 1 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 4))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (exp.f64 (+.f64 z -15/2))) (/.f64 1 (/.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 z))) (exp.f64 (+.f64 z -15/2))) (/.f64 1 (/.f64 (exp.f64 -15/2) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (*.f64 1 (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 2 (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (*.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 2)))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 1 (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (/.f64 1/2 (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 (/.f64 1 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (/.f64 1/2 (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 (/.f64 1 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 2 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (/.f64 (/.f64 1 (*.f64 2 (exp.f64 (+.f64 z -15/2)))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z))))) (/.f64 (/.f64 1 (exp.f64 (+.f64 z -15/2))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 2 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (/.f64 (/.f64 1 (*.f64 2 (exp.f64 (+.f64 z -15/2)))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4)) (/.f64 (/.f64 1 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 z)))) (/.f64 (/.f64 1 (exp.f64 -15/2)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))) 4)) (/.f64 (/.f64 1 (*.f64 (exp.f64 (+.f64 z -15/2)) 4)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (fabs.f64 (exp.f64 (-.f64 15/2 z)))) (/.f64 1 (fabs.f64 (exp.f64 (-.f64 15/2 z)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (fabs.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))))) (/.f64 1 (fabs.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4)) (/.f64 (/.f64 1 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (/.f64 (/.f64 1 (exp.f64 (*.f64 2 (-.f64 15/2 z)))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 z)))) (/.f64 (/.f64 1 (exp.f64 -15/2)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))) 4)) (/.f64 (/.f64 1 (*.f64 (exp.f64 (+.f64 z -15/2)) 4)) (exp.f64 (-.f64 15/2 z))))
(pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 1)
Outputs
(*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2)) (*.f64 -2 (*.f64 (exp.f64 -15/2) (pow.f64 (exp.f64 15/2) 2)))) z)) (*.f64 (pow.f64 (exp.f64 -15/2) 2) (pow.f64 (exp.f64 15/2) 4))) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2)) (*.f64 (pow.f64 (exp.f64 15/2) 2) (*.f64 (exp.f64 -15/2) -2))) z)) (*.f64 (pow.f64 (exp.f64 -15/2) 2) (pow.f64 (exp.f64 15/2) 4))) -1)))
(+.f64 (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2)))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2)) (*.f64 (pow.f64 (exp.f64 15/2) 2) (*.f64 (exp.f64 -15/2) -2))) z)) (*.f64 (pow.f64 (exp.f64 -15/2) 2) (pow.f64 (exp.f64 15/2) 4))))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 z 2) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 2 (*.f64 (exp.f64 -15/2) (pow.f64 (exp.f64 15/2) 2))) (+.f64 (*.f64 -2 (*.f64 (exp.f64 -15/2) (pow.f64 (exp.f64 15/2) 2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 (exp.f64 15/2) 2)))))) (*.f64 (pow.f64 (exp.f64 -15/2) 2) (pow.f64 (exp.f64 15/2) 4))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2)) (*.f64 -2 (*.f64 (exp.f64 -15/2) (pow.f64 (exp.f64 15/2) 2)))) (+.f64 (*.f64 -2 (*.f64 (exp.f64 -15/2) (pow.f64 (exp.f64 15/2) 2))) (*.f64 (exp.f64 -15/2) (pow.f64 (exp.f64 15/2) 2))))) (*.f64 (pow.f64 (exp.f64 15/2) 6) (pow.f64 (exp.f64 -15/2) 3)))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2)) (*.f64 -2 (*.f64 (exp.f64 -15/2) (pow.f64 (exp.f64 15/2) 2)))) z)) (*.f64 (pow.f64 (exp.f64 -15/2) 2) (pow.f64 (exp.f64 15/2) 4))) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (exp.f64 15/2) 2) (exp.f64 -15/2))) (sqrt.f64 (PI.f64)))))
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(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (exp.f64 (-.f64 z 15/2))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 (-.f64 15/2 z)))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))) (/.f64 1/2 (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (/.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (-.f64 15/2 z)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 (/.f64 1 (*.f64 2 (exp.f64 (-.f64 15/2 z)))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 (-.f64 15/2 z)))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 2 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (/.f64 (/.f64 1 (*.f64 2 (exp.f64 (+.f64 z -15/2)))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (/.f64 1/2 (exp.f64 (+.f64 -15/2 z))) (/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 2 (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (exp.f64 (-.f64 15/2 z))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z))))) (/.f64 (/.f64 1 (exp.f64 (+.f64 z -15/2))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (/.f64 1 (exp.f64 (+.f64 (+.f64 -15/2 z) (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z (*.f64 2 (-.f64 15/2 z))))) (/.f64 1 (exp.f64 (+.f64 z -15)))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 2 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (/.f64 (/.f64 1 (*.f64 2 (exp.f64 (+.f64 z -15/2)))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (/.f64 1/2 (exp.f64 (+.f64 -15/2 z))) (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 2 (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (*.f64 (/.f64 2 (exp.f64 (*.f64 2 (-.f64 15/2 z)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (/.f64 1/2 (exp.f64 (+.f64 z (+.f64 z -15)))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4)) (/.f64 (/.f64 1 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 (-.f64 15/2 z)))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 z)))) (/.f64 (/.f64 1 (exp.f64 -15/2)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (/.f64 1 (exp.f64 (+.f64 (+.f64 -15/2 z) (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z (*.f64 2 (-.f64 15/2 z))))) (/.f64 1 (exp.f64 (+.f64 z -15)))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))) 4)) (/.f64 (/.f64 1 (*.f64 (exp.f64 (+.f64 z -15/2)) 4)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 4 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (/.f64 (exp.f64 (neg.f64 (+.f64 -15/2 z))) (*.f64 4 (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 4 (exp.f64 (*.f64 2 (-.f64 15/2 z))))) (/.f64 (/.f64 1 (exp.f64 (+.f64 z (+.f64 z -15)))) 4)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (fabs.f64 (exp.f64 (-.f64 15/2 z)))) (/.f64 1 (fabs.f64 (exp.f64 (-.f64 15/2 z)))))
(*.f64 1 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (fabs.f64 (exp.f64 (-.f64 15/2 z))))) (fabs.f64 (exp.f64 (-.f64 15/2 z)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (fabs.f64 (exp.f64 (-.f64 15/2 z))) (fabs.f64 (exp.f64 (-.f64 15/2 z)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (fabs.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))))) (/.f64 1 (fabs.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (fabs.f64 (neg.f64 (exp.f64 (-.f64 15/2 z)))))) (/.f64 1 (fabs.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (fabs.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))))) (fabs.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4)) (/.f64 (/.f64 1 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 0 (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (/.f64 (/.f64 1 (exp.f64 (*.f64 2 (-.f64 15/2 z)))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (neg.f64 (*.f64 2 (-.f64 15/2 z)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 -15/2 z)))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z (*.f64 2 (-.f64 15/2 z))))) (/.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 -15/2))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 z)))) (/.f64 (/.f64 1 (exp.f64 -15/2)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (neg.f64 (*.f64 2 (-.f64 15/2 z)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 -15/2 z)))) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z (*.f64 2 (-.f64 15/2 z))))) (/.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 -15/2))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))) 4)) (/.f64 (/.f64 1 (*.f64 (exp.f64 (+.f64 z -15/2)) 4)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 4 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (/.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (*.f64 4 (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))) (*.f64 4 (/.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 4 (exp.f64 (+.f64 -15/2 z))))))
(pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))

localize290.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.9b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
0.9b
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))
✓1.0b
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 333 to 220 computations (33.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms
z
@-inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms
z
@0
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
0.0ms
z
@-inf
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))

rewrite312.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
802×rational_best-simplify-83
618×rational_best-simplify-63
594×rational_best-4
594×rational_best-2
594×rational_best-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035132
1254132
2564108
31687108
46942108
Stop Event
1×node limit
Counts
2 → 126
Calls
Call 1
Inputs
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
Outputs
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2501468655737381/200000000000000 (+.f64 z -5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z -5)) -9999999999998099/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8))) (neg.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7)) (/.f64 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simplify235.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1356×rational_best-simplify-57
902×rational_best-simplify-1
750×rational_best-simplify-11
722×rational_best-simplify-14
688×rational_best-simplify-63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046410908
1120210472
2311010200
3740410048
Stop Event
1×node limit
Counts
150 → 283
Calls
Call 1
Inputs
14609174657077663103082059/4200000000000000000000000
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 14609174657077663103082059/4200000000000000000000000)
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
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9999999999998099/10000000000000000
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(neg.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(-.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2) (/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) 2)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) 4)
(/.f64 (+.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2))) 8)
(/.f64 (*.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2))) 16)
(/.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)))) 64)
(/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2))) (+.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)))) 64)
(/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2))) (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) 16)
(/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (exp.f64 z) 2) (*.f64 (exp.f64 z) 2)) (*.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (exp.f64 -15/2) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2) (*.f64 (exp.f64 z) 2))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (exp.f64 -15/2) 2)) (*.f64 (*.f64 (exp.f64 z) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (exp.f64 -15/2) 2)) (*.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (exp.f64 z))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (exp.f64 (+.f64 z -15/2)) 2))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2) (*.f64 (exp.f64 (+.f64 z -15/2)) 2))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2)) (*.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (pow.f64 (-.f64 15/2 z) (neg.f64 z)))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 z))) (*.f64 (exp.f64 -15/2) 2)) 4)
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2) (*.f64 (exp.f64 z) 2)) (+.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (exp.f64 -15/2) 2))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 z) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (+.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (exp.f64 -15/2) 2))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (exp.f64 z)) (+.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (exp.f64 -15/2) 2))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (neg.f64 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (neg.f64 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2)) 4)
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2)) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2) (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (pow.f64 (-.f64 15/2 z) (neg.f64 z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (+.f64 (*.f64 (exp.f64 z) 2) (*.f64 (exp.f64 z) 2))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (exp.f64 z) 2)) (*.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (exp.f64 z) 2))) 16)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2))) 4)
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2) (+.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)))) 16)
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2))) 4)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)))) 16)
(/.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (exp.f64 -15/2) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 z))) 4)
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (neg.f64 z)))) 4)
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
Outputs
14609174657077663103082059/4200000000000000000000000
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 14609174657077663103082059/4200000000000000000000000)
(+.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 350291408665333106351952839/705600000000000000000000000 z))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 14609174657077663103082059/4200000000000000000000000 (+.f64 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 350291408665333106351952839/705600000000000000000000000 z)))
(+.f64 14609174657077663103082059/4200000000000000000000000 (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(+.f64 (+.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))) (+.f64 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (*.f64 350291408665333106351952839/705600000000000000000000000 z)))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 14609174657077663103082059/4200000000000000000000000 (+.f64 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 309219557958850910362579/25000000000000000000000 z))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 1 (/.f64 385658505730833990852833/6250000000000000000000 (pow.f64 z 2)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 385658505730833990852833/6250000000000000000000 (pow.f64 z 2))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 1 (/.f64 385658505730833990852833/6250000000000000000000 (pow.f64 z 2))) (*.f64 1 (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3))))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1 (/.f64 385658505730833990852833/6250000000000000000000 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 385658505730833990852833/6250000000000000000000 (pow.f64 z 2)) (+.f64 (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 309219557958850910362579/25000000000000000000000 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 309219557958850910362579/25000000000000000000000 z))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 1 (/.f64 385658505730833990852833/6250000000000000000000 (pow.f64 z 2)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 385658505730833990852833/6250000000000000000000 (pow.f64 z 2))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 1 (/.f64 385658505730833990852833/6250000000000000000000 (pow.f64 z 2))) (*.f64 1 (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3))))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 1 (/.f64 385658505730833990852833/6250000000000000000000 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 385658505730833990852833/6250000000000000000000 (pow.f64 z 2)) (+.f64 (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 309219557958850910362579/25000000000000000000000 z))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15))))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) -1))))
(+.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 (pow.f64 z 2) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 1/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))))
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(/.f64 (*.f64 (*.f64 2 (pow.f64 (-.f64 15/2 z) (neg.f64 z))) (*.f64 (*.f64 2 (exp.f64 (+.f64 z -15/2))) (*.f64 2 (+.f64 (pow.f64 (-.f64 15/2 z) 1/2) (pow.f64 (-.f64 15/2 z) 1/2))))) 16)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 4) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 4))) 16)
(/.f64 (*.f64 4 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (pow.f64 (-.f64 15/2 z) 1/2)) (*.f64 4 (exp.f64 (+.f64 z -15/2))))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (+.f64 (*.f64 (exp.f64 z) 2) (*.f64 (exp.f64 z) 2))) 16)
(*.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 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2))) 16)
(/.f64 (*.f64 (*.f64 2 (pow.f64 (-.f64 15/2 z) (neg.f64 z))) (*.f64 (*.f64 2 (exp.f64 (+.f64 z -15/2))) (*.f64 2 (+.f64 (pow.f64 (-.f64 15/2 z) 1/2) (pow.f64 (-.f64 15/2 z) 1/2))))) 16)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 4) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 4))) 16)
(/.f64 (*.f64 4 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (pow.f64 (-.f64 15/2 z) 1/2)) (*.f64 4 (exp.f64 (+.f64 z -15/2))))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (exp.f64 z) 2)) (*.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2))) 16)
(/.f64 (*.f64 (*.f64 2 (pow.f64 (-.f64 15/2 z) (neg.f64 z))) (*.f64 (*.f64 2 (exp.f64 (+.f64 z -15/2))) (*.f64 2 (+.f64 (pow.f64 (-.f64 15/2 z) 1/2) (pow.f64 (-.f64 15/2 z) 1/2))))) 16)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 4) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 4))) 16)
(/.f64 (*.f64 4 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (pow.f64 (-.f64 15/2 z) 1/2)) (*.f64 4 (exp.f64 (+.f64 z -15/2))))) 16)
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (exp.f64 z) 2))) 16)
(/.f64 (*.f64 (*.f64 2 (pow.f64 (-.f64 15/2 z) (neg.f64 z))) (*.f64 (*.f64 2 (exp.f64 (+.f64 z -15/2))) (*.f64 2 (+.f64 (pow.f64 (-.f64 15/2 z) 1/2) (pow.f64 (-.f64 15/2 z) 1/2))))) 16)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 4) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 4))) 16)
(/.f64 (*.f64 4 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (pow.f64 (-.f64 15/2 z) 1/2)) (*.f64 4 (exp.f64 (+.f64 z -15/2))))) 16)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2))) 4)
(*.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 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2) (+.f64 (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) (*.f64 2 (*.f64 (exp.f64 (+.f64 z -15/2)) 2)))) 16)
(*.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 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2))) 4)
(*.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 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)) (*.f64 2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 2)))) 16)
(*.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 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) 2) (*.f64 (exp.f64 -15/2) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 z))) 4)
(*.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 (*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (neg.f64 z)))) 4)
(/.f64 (*.f64 (*.f64 2 (pow.f64 (-.f64 15/2 z) 1/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (+.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))))) 4)
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (*.f64 (pow.f64 (-.f64 15/2 z) 1/2) 4))) 4)
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (neg.f64 z)) (*.f64 4 (pow.f64 (-.f64 15/2 z) 1/2)))) 4)
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(*.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)))

localize309.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
1.0b
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
2.8b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
Compiler

Compiled 455 to 329 computations (27.7% saved)

localize202.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.9b
(-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))
1.0b
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 523 to 383 computations (26.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))
0.0ms
z
@-inf
(-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))
0.0ms
z
@0
(-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))

rewrite74.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
886×rational_best-simplify-76
870×rational_best-simplify-75
712×rational_best-simplify-56
696×rational_best-4
696×rational_best-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
18231
217131
345931
4195431
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z))) (/.f64 2501468655737381/200000000000000 (+.f64 z -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -2501468655737381/400000000000000 (+.f64 z -5)) (/.f64 3464277381643003/50000000000000000 (-.f64 6 z))) (-.f64 (/.f64 -2501468655737381/400000000000000 (+.f64 z -5)) (/.f64 3464277381643003/50000000000000000 (-.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2501468655737381/400000000000000 (+.f64 z -5)) (-.f64 (/.f64 -2501468655737381/400000000000000 (+.f64 z -5)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -2501468655737381/400000000000000 (+.f64 z -5)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 -2501468655737381/400000000000000 (+.f64 z -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3464277381643003/50000000000000000 (+.f64 z -6)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 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z -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2501468655737381/100000000000000 (-.f64 5 z)) (/.f64 3464277381643003/12500000000000000 (+.f64 z -6))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (/.f64 2501468655737381/100000000000000 (-.f64 5 z)) (/.f64 3464277381643003/12500000000000000 (+.f64 z -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)) (/.f64 3464277381643003/6250000000000000 (-.f64 6 z))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)) (/.f64 3464277381643003/6250000000000000 (-.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)) (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 2501468655737381/100000000000000 (-.f64 5 z)) (/.f64 3464277381643003/12500000000000000 (+.f64 z -6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)) (/.f64 3464277381643003/6250000000000000 (-.f64 6 z))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -2501468655737381/400000000000000 (+.f64 z -5)) (/.f64 3464277381643003/50000000000000000 (-.f64 6 z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)) (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (+.f64 z -5))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (+.f64 z -5))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)) (/.f64 -3464277381643003/6250000000000000 (-.f64 6 z))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (+.f64 z -5))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2501468655737381/25000000000000 (-.f64 5 z)) (/.f64 3464277381643003/3125000000000000 (-.f64 6 z))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2501468655737381/25000000000000 (-.f64 5 z)) (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z))) (/.f64 3464277381643003/6250000000000000 (-.f64 6 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (+.f64 z -5))) (/.f64 3464277381643003/3125000000000000 (-.f64 6 z))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))))))))

simplify91.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1348×rational_best-simplify-47
1064×rational_best-simplify-108
830×rational_best-simplify-65
614×rational_best-simplify-3
406×rational_best-simplify-63
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01632054
13792036
29011928
325201928
Stop Event
1×node limit
Counts
56 → 75
Calls
Call 1
Inputs
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 446800080651085577/900000000000000000 z) (*.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3)))))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))))
(/.f64 -154609652292764811/12500000000000000 z)
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(neg.f64 (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
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(+.f64 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) 0)
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(*.f64 (+.f64 (/.f64 2501468655737381/100000000000000 (-.f64 5 z)) (/.f64 3464277381643003/12500000000000000 (+.f64 z -6))) 1/2)
(*.f64 -1 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))))
(*.f64 1/2 (+.f64 (/.f64 2501468655737381/100000000000000 (-.f64 5 z)) (/.f64 3464277381643003/12500000000000000 (+.f64 z -6))))
(*.f64 (-.f64 (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)) (/.f64 3464277381643003/6250000000000000 (-.f64 6 z))) 1/4)
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(/.f64 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) 1)
(/.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) -1)
(/.f64 (+.f64 (/.f64 2501468655737381/100000000000000 (-.f64 5 z)) (/.f64 3464277381643003/12500000000000000 (+.f64 z -6))) 2)
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(/.f64 (-.f64 (/.f64 -2501468655737381/400000000000000 (+.f64 z -5)) (/.f64 3464277381643003/50000000000000000 (-.f64 6 z))) 1/2)
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(/.f64 (-.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (+.f64 z -5))) -4)
(/.f64 (/.f64 (-.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (+.f64 z -5))) -1) 4)
(/.f64 (+.f64 (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)) (/.f64 -3464277381643003/6250000000000000 (-.f64 6 z))) 4)
(/.f64 (+.f64 (/.f64 -3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (+.f64 z -5))) 4)
(/.f64 (-.f64 (/.f64 2501468655737381/25000000000000 (-.f64 5 z)) (/.f64 3464277381643003/3125000000000000 (-.f64 6 z))) 8)
(/.f64 (-.f64 (/.f64 2501468655737381/25000000000000 (-.f64 5 z)) (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)))) 4)
(/.f64 (-.f64 (+.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z))) (/.f64 3464277381643003/6250000000000000 (-.f64 6 z))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (+.f64 z -5))) (/.f64 3464277381643003/3125000000000000 (-.f64 6 z))) 4)
(pow.f64 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) 1)
(neg.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))))
Outputs
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 446800080651085577/900000000000000000 z) (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2))))
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(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 446800080651085577/900000000000000000 z) (+.f64 (*.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3)) (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)))))
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(*.f64 (-.f64 (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)) (/.f64 3464277381643003/6250000000000000 (-.f64 6 z))) 1/4)
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(-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5)))
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(/.f64 (-.f64 (/.f64 -2501468655737381/400000000000000 (+.f64 z -5)) (/.f64 3464277381643003/50000000000000000 (-.f64 6 z))) 1/2)
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(/.f64 (-.f64 (+.f64 (/.f64 -2501468655737381/50000000000000 (+.f64 z -5)) (/.f64 3464277381643003/6250000000000000 (-.f64 6 z))) (/.f64 3464277381643003/3125000000000000 (-.f64 6 z))) 4)
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(pow.f64 (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))) 1)
(-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5)))
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(neg.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z -5))))
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localize269.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
✓1.0b
(-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.8b
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1)))
Compiler

Compiled 727 to 552 computations (24.1% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@0
(-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))
0.0ms
z
@inf
(-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))
0.0ms
z
@0
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1)))
0.0ms
z
@-inf
(-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))
0.0ms
z
@inf
(+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))

rewrite100.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1140×rational_best-simplify-57
972×rational_best-simplify-51
870×rational_best-simplify-75
754×rational_best-4
754×rational_best-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035237
1252237
2539237
31776237
Stop Event
1×node limit
Counts
3 → 117
Calls
Call 1
Inputs
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1)))
(-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))
(+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
Outputs
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simplify301.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1506×rational_best-simplify-57
846×rational_best-simplify-47
674×rational_best-simplify-64
636×rational_best-simplify-59
570×rational_best-simplify-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041914021
1113613691
2329413065
Stop Event
1×node limit
Counts
153 → 318
Calls
Call 1
Inputs
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(/.f64 (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 4) (*.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 6765203681218851/5000000000000 (-.f64 1 z))) 2)) 2)
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(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 6765203681218851/5000000000000 (-.f64 1 z))) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 4)) 2)
(/.f64 (+.f64 (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 4) (/.f64 -3147848041806007/625000000000 (-.f64 2 z))) (/.f64 6765203681218851/2500000000000 (-.f64 1 z))) 2)
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Outputs
479507597606835099/10000000000000000
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9999999999998099/10000000000000000
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7827144361880981797/30000000000000000
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9151757080597036297/15000000000000000
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eval5.3s (4.7%)

Compiler

Compiled 184088 to 135067 computations (26.6% saved)

prune1.3s (1.2%)

Pruning

42 alts after pruning (42 fresh and 0 done)

PrunedKeptTotal
New2081292110
Fresh141327
Picked101
Done404
Total2100422142
Error
0.0b
Counts
2142 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
2.0b
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2.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
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 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 15/2)) (exp.f64 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 883075145810703/5000000000000 (-.f64 4 z))) -9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
0.7b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)) (exp.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
1.3b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (exp.f64 (neg.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
▶0.5b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.4b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
▶1.8b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.5b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.9b
(*.f64 (PI.f64) (*.f64 (/.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)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3))))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.8b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))) (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.6b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))) -9999999999998099/10000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
62.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.5b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
▶1.9b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
50.2b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.0b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.4b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 7827144361880981797/30000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.4b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
62.7b
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 309219557958850910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z -2))))) -9999999999998099/10000000000000000) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.8b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 6765203681218851/10000000000000 (+.f64 z -1)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
▶0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.9b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (+.f64 9151757080597036297/15000000000000000 (*.f64 z 40269435042492127/45000000000000)) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.5b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)) (-.f64 (-.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))) (+.f64 (/.f64 6765203681218851/5000000000000 (+.f64 z -1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 -9999999999998099/5000000000000000 (/.f64 -7713234287776531/5000000000000 (-.f64 3 z)))))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (-.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 6765203681218851/5000000000000 (+.f64 z -1))) (+.f64 -9999999999998099/5000000000000000 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -1/2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.8b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 6765203681218851/5000000000000 (+.f64 z -1))) (/.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -1/2))) 2) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 6765203681218851/5000000000000 (+.f64 z -1)) (+.f64 (/.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -1/2) (/.f64 -3147848041806007/1250000000000 (+.f64 z -2)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/5000000000000 (+.f64 z -1)) (-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))) (+.f64 9999999999998099/5000000000000000 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) (-.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.4b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
54.6b
(*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 14609174657077663103082059/4200000000000000000000000) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
▶54.6b
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 6210 to 4806 computations (22.6% saved)

localize424.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))
✓0.9b
(/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
Compiler

Compiled 549 to 385 computations (29.9% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))
1.0ms
z
@-inf
(/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))
0.0ms
z
@inf
(/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))

rewrite88.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
864×rational_best-simplify-64
832×rational_best-simplify-51
774×rational_best-simplify-54
770×rational_best-4
770×rational_best-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
17233
214933
344933
4186333
Stop Event
1×node limit
Counts
1 → 77
Calls
Call 1
Inputs
(/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) (/.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 4)) (/.f64 (*.f64 3/2 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3/2 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))))))

simplify144.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1220×rational_best-simplify-52
1200×rational_best-simplify-51
1192×rational_best-simplify-48
1094×rational_best-simplify-47
1088×rational_best-simplify-50
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02244697
15514421
213473963
347113943
Stop Event
1×node limit
Counts
85 → 140
Calls
Call 1
Inputs
(/.f64 (exp.f64 15/2) (exp.f64 15))
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(/.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) (exp.f64 (*.f64 2 (+.f64 (*.f64 -1 z) 15/2))))
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(+.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 0)
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(+.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 4)) (/.f64 (*.f64 3/2 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2))))) 2))
(+.f64 (/.f64 (*.f64 3/2 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2))))) 2) (/.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 4)))
(+.f64 (-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) -1) (neg.f64 (+.f64 1 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) -2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))))
(+.f64 (-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (+.f64 -1 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) -2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))) -1)
(+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 (-.f64 15/2 z) 2)))) (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) -2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) (/.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 4))) (neg.f64 (/.f64 (*.f64 3/2 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2))))) 2)))
(-.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 0)
(-.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2))))))
(-.f64 0 (/.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) -2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(-.f64 (/.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (*.f64 -2 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) -2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2))))))
(-.f64 (/.f64 (*.f64 3/2 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2))))) 2) (/.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) -4)))
(-.f64 (/.f64 (*.f64 3/2 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2))))) 2) (+.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) -4)) 0))
(-.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) -4)) (-.f64 (/.f64 (*.f64 3/2 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2))))) 2) (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2))))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 2 (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 2 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(*.f64 2 (*.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 2 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 1/2))
(*.f64 2 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4)))
(*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (/.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 1)
(*.f64 1 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (*.f64 1/2 (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (*.f64 2 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4)))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 1/2))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (-.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))) (*.f64 -2 (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) 2)
(*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 1/2)
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 4) (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 4) (*.f64 (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2))) 1/2))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 4) (*.f64 1/2 (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 4) (-.f64 (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4)))
(*.f64 1/2 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(*.f64 1/2 (-.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2))))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (exp.f64 (-.f64 15/2 z)))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (-.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (-.f64 15/2 z))))
(*.f64 (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (*.f64 (exp.f64 (-.f64 15/2 z)) 2))
(*.f64 (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (-.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 4) (*.f64 (exp.f64 (-.f64 15/2 z)) 2)))
(*.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4) (*.f64 (exp.f64 (-.f64 15/2 z)) 4))
(*.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4) (*.f64 (*.f64 2 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) 1/2))
(*.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4) (-.f64 (*.f64 2 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (*.f64 (exp.f64 (-.f64 15/2 z)) 4)))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) -2) (-.f64 0 (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 4 (*.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4)))
(*.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) 1/4)
(*.f64 (*.f64 2 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (/.f64 1 (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 8)))
(*.f64 (*.f64 2 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (*.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4) 1/2))
(*.f64 (*.f64 2 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (-.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4) (/.f64 1 (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 8))))
(*.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (exp.f64 (*.f64 (-.f64 15/2 z) 2)))) (exp.f64 (*.f64 (-.f64 15/2 z) 2)))
(*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) (/.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 2)) (/.f64 1 (/.f64 2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 (exp.f64 15/2) (*.f64 (exp.f64 (neg.f64 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 (exp.f64 15/2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(*.f64 -2 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) -2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) -4) (-.f64 0 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4)))
(*.f64 (*.f64 2 (exp.f64 15/2)) (*.f64 (exp.f64 (neg.f64 z)) (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 1/4 (*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (*.f64 (exp.f64 (-.f64 15/2 z)) 4)))
(*.f64 1/4 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 4) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(*.f64 (/.f64 1 (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 8)) (*.f64 2 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)))
(*.f64 (/.f64 1 (/.f64 2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))) (/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) (/.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 2)))
(*.f64 (+.f64 (exp.f64 15/2) (exp.f64 15/2)) (*.f64 (exp.f64 (neg.f64 z)) (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) 2)) (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (*.f64 2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (/.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(*.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(*.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (*.f64 2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) 2)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) 4)))
(*.f64 (exp.f64 (-.f64 15/4 (/.f64 z 2))) (*.f64 (exp.f64 (-.f64 15/4 (/.f64 z 2))) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(pow.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 1)
(neg.f64 (/.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
Outputs
(/.f64 (exp.f64 15/2) (exp.f64 15))
(+.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (exp.f64 15/2) (exp.f64 15))) (*.f64 -2 (/.f64 (exp.f64 15/2) (exp.f64 15)))) z))
(+.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) (*.f64 (-.f64 (*.f64 (exp.f64 15/2) (/.f64 -1 (exp.f64 15))) (*.f64 (exp.f64 15/2) (/.f64 -2 (exp.f64 15)))) z))
(+.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) (*.f64 (*.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) 1) z))
(+.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) (*.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) z))
(+.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (exp.f64 15/2) (exp.f64 15))) (*.f64 -2 (/.f64 (exp.f64 15/2) (exp.f64 15)))) z) (*.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 15/2) (exp.f64 15))) (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 (exp.f64 15/2) (exp.f64 15))) (*.f64 -2 (/.f64 (exp.f64 15/2) (exp.f64 15))))) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 15))))) (pow.f64 z 2))))
(+.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) (+.f64 (*.f64 (-.f64 (*.f64 (exp.f64 15/2) (/.f64 -1 (exp.f64 15))) (*.f64 (exp.f64 15/2) (/.f64 -2 (exp.f64 15)))) z) (*.f64 (-.f64 (*.f64 (exp.f64 15/2) (/.f64 1/2 (exp.f64 15))) (+.f64 (*.f64 -2 (-.f64 (*.f64 (exp.f64 15/2) (/.f64 -1 (exp.f64 15))) (*.f64 (exp.f64 15/2) (/.f64 -2 (exp.f64 15))))) (*.f64 (exp.f64 15/2) (/.f64 2 (exp.f64 15))))) (pow.f64 z 2))))
(+.f64 (*.f64 (*.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) 1) z) (+.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) (*.f64 (-.f64 (*.f64 (exp.f64 15/2) (/.f64 1/2 (exp.f64 15))) (+.f64 (*.f64 -2 (*.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) 1)) (*.f64 (exp.f64 15/2) (/.f64 2 (exp.f64 15))))) (pow.f64 z 2))))
(+.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) (+.f64 (*.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) z) (*.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 15/2) (/.f64 -2 (exp.f64 15)))) (*.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) -3/2)) (pow.f64 z 2))))
(+.f64 (*.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) z) (+.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) -3/2) (*.f64 (exp.f64 15/2) (/.f64 -2 (exp.f64 15)))) (pow.f64 z 2))))
(+.f64 (/.f64 (exp.f64 15/2) (exp.f64 15)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (exp.f64 15/2) (exp.f64 15))) (*.f64 -2 (/.f64 (exp.f64 15/2) (exp.f64 15)))) z) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 15/2) (exp.f64 15))) (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 (exp.f64 15/2) (exp.f64 15))) (*.f64 -2 (/.f64 (exp.f64 15/2) (exp.f64 15))))) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 15))))) (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (exp.f64 15/2) (exp.f64 15))) (+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 15/2) (exp.f64 15))) (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 (exp.f64 15/2) (exp.f64 15))) (*.f64 -2 (/.f64 (exp.f64 15/2) (exp.f64 15))))) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 15)))))) (+.f64 (*.f64 2 (-.f64 (*.f64 -1 (/.f64 (exp.f64 15/2) (exp.f64 15))) (*.f64 -2 (/.f64 (exp.f64 15/2) (exp.f64 15))))) (*.f64 -4/3 (/.f64 (exp.f64 15/2) (exp.f64 15)))))) (pow.f64 z 3)))))
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(*.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 (+.f64 (*.f64 2 (-.f64 15/2 z)) (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 (*.f64 (-.f64 15/2 z) 4))))
(/.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 15/2 z)))) (exp.f64 (*.f64 (-.f64 15/2 z) 4)))
(*.f64 (/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) (/.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 2)) (/.f64 1 (/.f64 2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 (/.f64 (exp.f64 (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/2 z))) (/.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) 2)) (/.f64 1 (/.f64 2 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (+.f64 z -15/2)))) (/.f64 (/.f64 1 (/.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) 2)) (/.f64 2 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(/.f64 (exp.f64 (-.f64 (*.f64 2 (+.f64 z -15/2)) (+.f64 z -15/2))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 (neg.f64 (*.f64 2 (-.f64 15/2 z))))))
(/.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (+.f64 z -15/2)))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 (/.f64 (-.f64 15/2 z) -1/2))))
(*.f64 (exp.f64 15/2) (*.f64 (exp.f64 (neg.f64 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/2 z)))
(exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (+.f64 z -15/2))))
(exp.f64 (-.f64 (*.f64 2 (+.f64 z -15/2)) (+.f64 z -15/2)))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 (exp.f64 15/2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/2 z)))
(exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (+.f64 z -15/2))))
(exp.f64 (-.f64 (*.f64 2 (+.f64 z -15/2)) (+.f64 z -15/2)))
(*.f64 -2 (/.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) -2) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (exp.f64 (*.f64 2 (+.f64 15/2 (neg.f64 z)))))
(/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (/.f64 (-.f64 15/2 z) -1/2)))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) -4) (-.f64 0 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4)))
(exp.f64 (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/2 z)))
(exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (+.f64 z -15/2))))
(exp.f64 (-.f64 (*.f64 2 (+.f64 z -15/2)) (+.f64 z -15/2)))
(*.f64 (*.f64 2 (exp.f64 15/2)) (*.f64 (exp.f64 (neg.f64 z)) (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (exp.f64 (*.f64 2 (+.f64 15/2 (neg.f64 z)))))
(/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (/.f64 (-.f64 15/2 z) -1/2)))
(*.f64 1/4 (*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (*.f64 (exp.f64 (-.f64 15/2 z)) 4)))
(exp.f64 (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/2 z)))
(exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (+.f64 z -15/2))))
(exp.f64 (-.f64 (*.f64 2 (+.f64 z -15/2)) (+.f64 z -15/2)))
(*.f64 1/4 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 4) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/2 z)))
(exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (+.f64 z -15/2))))
(exp.f64 (-.f64 (*.f64 2 (+.f64 z -15/2)) (+.f64 z -15/2)))
(*.f64 (/.f64 1 (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 8)) (*.f64 2 (*.f64 (exp.f64 (-.f64 15/2 z)) 4)))
(/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (exp.f64 (*.f64 2 (+.f64 15/2 (neg.f64 z)))))
(/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (/.f64 (-.f64 15/2 z) -1/2)))
(*.f64 (/.f64 1 (/.f64 2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))) (/.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) (/.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) 2)))
(*.f64 (/.f64 (exp.f64 (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/2 z))) (/.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) 2)) (/.f64 1 (/.f64 2 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (+.f64 z -15/2)))) (/.f64 (/.f64 1 (/.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) 2)) (/.f64 2 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(/.f64 (exp.f64 (-.f64 (*.f64 2 (+.f64 z -15/2)) (+.f64 z -15/2))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 (neg.f64 (*.f64 2 (-.f64 15/2 z))))))
(/.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (+.f64 z -15/2)))) (*.f64 (exp.f64 (*.f64 2 (-.f64 15/2 z))) (exp.f64 (/.f64 (-.f64 15/2 z) -1/2))))
(*.f64 (+.f64 (exp.f64 15/2) (exp.f64 15/2)) (*.f64 (exp.f64 (neg.f64 z)) (/.f64 1/2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (exp.f64 (*.f64 2 (+.f64 15/2 (neg.f64 z)))))
(/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (/.f64 (-.f64 15/2 z) -1/2)))
(*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (/.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 15/2 z)))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (+.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 0 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) 2)) (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (*.f64 2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (/.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 15/2 z)))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (+.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 0 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) 4)) (/.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (/.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 15/2 z)))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (+.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 0 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (/.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 15/2 z)))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (+.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 0 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (*.f64 2 (exp.f64 (*.f64 (-.f64 15/2 z) 2)))) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) 2)))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (/.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 15/2 z)))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (+.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 0 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) 4) (exp.f64 (*.f64 (-.f64 15/2 z) 2))) (*.f64 (exp.f64 (*.f64 (-.f64 15/2 z) 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) 4)))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (/.f64 (exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 15/2 z)))) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))
(*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (+.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 0 (exp.f64 (*.f64 2 (-.f64 15/2 z))))))
(*.f64 (exp.f64 (-.f64 15/4 (/.f64 z 2))) (*.f64 (exp.f64 (-.f64 15/4 (/.f64 z 2))) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(*.f64 (exp.f64 (-.f64 15/4 (/.f64 z 2))) (exp.f64 (+.f64 (-.f64 15/4 (/.f64 z 2)) (*.f64 2 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (-.f64 15/4 (/.f64 z 2)) (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/4 (/.f64 z 2)))))
(exp.f64 (+.f64 (*.f64 2 (+.f64 z -15/2)) (+.f64 (-.f64 15/4 (/.f64 z 2)) (-.f64 15/4 (/.f64 z 2)))))
(pow.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 1)
(exp.f64 (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/2 z)))
(exp.f64 (+.f64 (-.f64 15/2 z) (*.f64 2 (+.f64 z -15/2))))
(exp.f64 (-.f64 (*.f64 2 (+.f64 z -15/2)) (+.f64 z -15/2)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (-.f64 15/2 z))) (exp.f64 (*.f64 (-.f64 15/2 z) 2))))
(/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (exp.f64 (*.f64 2 (+.f64 15/2 (neg.f64 z)))))
(/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (/.f64 (-.f64 15/2 z) -1/2)))

localize180.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))
✓0.4b
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.9b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 159 to 98 computations (38.4% saved)

series8.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
z
@0
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
2.0ms
z
@inf
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.0ms
z
@-inf
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.0ms
z
@0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))
0.0ms
z
@-inf
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))

rewrite313.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1070×rational_best-simplify-66
958×rational_best-simplify-3
654×rational_best-simplify-55
602×rational_best-simplify-63
520×rational_best-simplify-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026172
1192172
2448156
31355156
45685156
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))
Outputs
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simplify121.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1276×rational_best-simplify-1
1182×rational_best-simplify-55
892×rational_best-simplify-49
886×rational_best-simplify-53
750×rational_best-simplify-63
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02838909
17608449
222228187
Stop Event
1×node limit
Counts
83 → 125
Calls
Call 1
Inputs
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(*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 4)) (/.f64 (/.f64 1 (*.f64 (sin.f64 (*.f64 (PI.f64) z)) 4)) (sin.f64 (*.f64 (PI.f64) z))))
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1)
(neg.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))) (sin.f64 (*.f64 (PI.f64) z))))
Outputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.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))) z) (*.f64 (sqrt.f64 (PI.f64)) 14609174657077663103082059/4200000000000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.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 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))))
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(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64))))

localize355.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.9b
(+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
✓0.9b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.9b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 377 to 262 computations (30.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms
z
@inf
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms
z
@-inf
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms
z
@inf
(+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))

rewrite257.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
1516×rational_best-simplify-85
874×rational_best-simplify-83
594×rational_best-simplify-1
546×rational_best-simplify-63
528×rational_best-4
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031156
1223156
2476140
31451134
46755134
Stop Event
1×node limit
Counts
2 → 161
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
(+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
Outputs
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simplify319.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
772×rational_best-simplify-57
730×rational_best-simplify-1
720×rational_best-simplify-11
680×rational_best-simplify-59
642×rational_best-simplify-13
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048314515
1132914029
2369513815
3733513635
Stop Event
1×node limit
Counts
185 → 390
Calls
Call 1
Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 (*.f64 307923648092522757233983952839/705600000000000000000000000 z) 1106209385320415913103082059/4200000000000000000000000)
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(*.f64 1 (-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z))))
(*.f64 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) -2)) 1/2)
(*.f64 1/2 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) -2)))
(*.f64 (*.f64 2 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) -2))) 1/4)
(*.f64 1/4 (*.f64 2 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) -2))))
(/.f64 (-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z))) 1)
(/.f64 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) -2)) 2)
(/.f64 (*.f64 2 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) -2))) 4)
(/.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) -2))) (*.f64 2 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) -2)))) 8)
(/.f64 (+.f64 (/.f64 883075145810703/1250000000000 (+.f64 z -4)) (*.f64 2 (*.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) -2))) 4)
(/.f64 (+.f64 (*.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) 2) (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (/.f64 7713234287776531/5000000000000 (-.f64 3 z)))) 2)
(/.f64 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) 2))) 2)
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) -2)) (/.f64 883075145810703/1250000000000 (+.f64 z -4))) 4)
(/.f64 (+.f64 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) 2)) (/.f64 7713234287776531/5000000000000 (-.f64 3 z))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (/.f64 7713234287776531/5000000000000 (-.f64 3 z))) (*.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) 2)) 2)
(pow.f64 (-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z))) 1)
(neg.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(neg.f64 (-.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))))
(neg.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4)))))
(neg.f64 (-.f64 (-.f64 -479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))))
Outputs
1106209385320415913103082059/4200000000000000000000000
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7827144361880981797/30000000000000000
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(-.f64 (-.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) -479507597606835099/10000000000000000))
(/.f64 (+.f64 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) 2)) (/.f64 7713234287776531/5000000000000 (-.f64 3 z))) 2)
(/.f64 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 2 (+.f64 (*.f64 z 904338909853211/2500000000000) 479507597606835099/10000000000000000)))) 2)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (+.f64 (/.f64 883075145810703/1250000000000 (+.f64 z -4)) (*.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) 479507597606835099/10000000000000000) 4)) 4))
(/.f64 (+.f64 (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (/.f64 7713234287776531/5000000000000 (-.f64 3 z))) (*.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) 2)) 2)
(/.f64 (+.f64 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)) (+.f64 (/.f64 883075145810703/2500000000000 (+.f64 z -4)) (*.f64 2 (+.f64 (*.f64 z 904338909853211/2500000000000) 479507597606835099/10000000000000000)))) 2)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (+.f64 (/.f64 883075145810703/1250000000000 (+.f64 z -4)) (*.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) 479507597606835099/10000000000000000) 4)) 4))
(pow.f64 (-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z))) 1)
(+.f64 (-.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))) 479507597606835099/10000000000000000)
(-.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) -479507597606835099/10000000000000000)))
(-.f64 (-.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) -479507597606835099/10000000000000000))
(neg.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (*.f64 z 904338909853211/2500000000000) 479507597606835099/10000000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))
(-.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 479507597606835099/10000000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))
(neg.f64 (-.f64 (-.f64 (+.f64 -479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (*.f64 904338909853211/2500000000000 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))))
(+.f64 (-.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))) 479507597606835099/10000000000000000)
(-.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) -479507597606835099/10000000000000000)))
(-.f64 (-.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) -479507597606835099/10000000000000000))
(neg.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4)))))
(+.f64 (-.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))) 479507597606835099/10000000000000000)
(-.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) -479507597606835099/10000000000000000)))
(-.f64 (-.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) -479507597606835099/10000000000000000))
(neg.f64 (-.f64 (-.f64 -479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))))
(neg.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (-.f64 -479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)))))
(-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (-.f64 -479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))))
(-.f64 (*.f64 z 904338909853211/2500000000000) (-.f64 -479507597606835099/10000000000000000 (-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))))

localize328.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.9b
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.9b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
Compiler

Compiled 434 to 296 computations (31.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms
z
@0
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms
z
@-inf
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))

rewrite185.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
1016×rational_best-simplify-75
998×rational_best-simplify-64
932×rational_best-simplify-56
898×rational_best-4
898×rational_best-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01439
110139
221731
359331
4245431
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -7713234287776531/5000000000000 (+.f64 z -3)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 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((x -.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 -883075145810703/10000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (+.f64 (/.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) 2) (/.f64 7713234287776531/10000000000000 (+.f64 z -3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/10000000000000 (-.f64 4 z))) (neg.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/20000000000000 (-.f64 3 z))) (neg.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))) (neg.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3))) (neg.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)) (neg.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))) (-.f64 (neg.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z))) (/.f64 7713234287776531/20000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (neg.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)))) (-.f64 (neg.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z))) (/.f64 -883075145810703/10000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (/.f64 -7713234287776531/5000000000000 (+.f64 z -3)) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -883075145810703/1250000000000 (-.f64 4 z)) (/.f64 7713234287776531/2500000000000 (-.f64 3 z))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -7713234287776531/5000000000000 (+.f64 z -3)) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (/.f64 -883075145810703/1250000000000 (-.f64 4 z)) (/.f64 7713234287776531/2500000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (/.f64 -883075145810703/1250000000000 (-.f64 4 z)) (/.f64 7713234287776531/2500000000000 (-.f64 3 z)))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -883075145810703/1250000000000 (-.f64 4 z)) (/.f64 7713234287776531/2500000000000 (-.f64 3 z))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -7713234287776531/5000000000000 (+.f64 z -3)) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)) (/.f64 -883075145810703/10000000000000 (-.f64 4 z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 -883075145810703/1250000000000 (-.f64 4 z)) (/.f64 7713234287776531/2500000000000 (-.f64 3 z)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 7713234287776531/1250000000000 (-.f64 3 z)) (/.f64 -883075145810703/625000000000 (-.f64 4 z))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -883075145810703/625000000000 (-.f64 4 z)) (/.f64 7713234287776531/1250000000000 (-.f64 3 z))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 7713234287776531/2500000000000 (-.f64 3 z)) (neg.f64 (/.f64 -883075145810703/1250000000000 (-.f64 4 z)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -883075145810703/1250000000000 (-.f64 4 z)) (neg.f64 (/.f64 7713234287776531/2500000000000 (-.f64 3 z)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))))))))

simplify95.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1076×rational_best-simplify-65
884×rational_best-simplify-108
876×rational_best-simplify-64
622×rational_best-simplify-3
518×rational_best-simplify-83
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01552150
13952110
29082002
324961766
Stop Event
1×node limit
Counts
52 → 74
Calls
Call 1
Inputs
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))
(-.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))
(-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))) 0)
(-.f64 0 (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(-.f64 0 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 883075145810703/5000000000000 (+.f64 z -4))))
(-.f64 (/.f64 -7713234287776531/5000000000000 (+.f64 z -3)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))))
(-.f64 (/.f64 -883075145810703/2500000000000 (-.f64 4 z)) (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3))))
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Outputs
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
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(*.f64 1/4 (+.f64 (/.f64 -883075145810703/1250000000000 (-.f64 4 z)) (/.f64 7713234287776531/2500000000000 (-.f64 3 z))))
(*.f64 (+.f64 (/.f64 -883075145810703/1250000000000 (-.f64 4 z)) (/.f64 7713234287776531/2500000000000 (-.f64 3 z))) 1/4)
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(*.f64 (+.f64 (/.f64 -883075145810703/1250000000000 (-.f64 4 z)) (/.f64 7713234287776531/2500000000000 (-.f64 3 z))) 1/4)
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localize659.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.9b
(+.f64 (+.f64 (-.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.9b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
0.9b
(-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 559 to 419 computations (25% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (+.f64 (-.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms
z
@0
(+.f64 (+.f64 (-.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms
z
@-inf
(+.f64 (+.f64 (-.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))

rewrite93.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
952×rational_best-simplify-51
894×rational_best-simplify-57
882×rational_best-4
882×rational_best-2
882×rational_best-3
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047171
1332171
2705163
32261145
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(+.f64 (+.f64 (-.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
Outputs
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simplify216.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1462×rational_best-simplify-65
798×rational_best-simplify-59
790×rational_best-simplify-56
768×rational_best-simplify-64
746×rational_best-simplify-57
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02348219
16008185
214488109
344477977
Stop Event
1×node limit
Counts
63 → 135
Calls
Call 1
Inputs
1106209385320415913103082059/4200000000000000000000000
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Outputs
1106209385320415913103082059/4200000000000000000000000
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eval4.7s (4.2%)

Compiler

Compiled 139760 to 102675 computations (26.5% saved)

prune1.5s (1.3%)

Pruning

50 alts after pruning (50 fresh and 0 done)

PrunedKeptTotal
New1750311781
Fresh181937
Picked101
Done404
Total1773501823
Error
0.0b
Counts
1823 → 50
Alt Table
Click to see full alt table
StatusErrorProgram
54.7b
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
2.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
54.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))
1.3b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (exp.f64 (neg.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (-.f64 15/4 (/.f64 z 2)) (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/4 (/.f64 z 2))))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.8b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)) (exp.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
1.6b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.9b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
▶2.2b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 12777243138120953/60000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.5b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
54.6b
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
54.6b
(*.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))))
1.9b
(*.f64 (PI.f64) (*.f64 (/.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)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.1b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -945546248135186329/18750000000000000))))))
2.8b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (-.f64 -945546248135186329/18750000000000000 (-.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))))
2.8b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (-.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) 371756020978964147/150000000000000000) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) -479507597606835099/10000000000000000) (*.f64 z 904338909853211/2500000000000))) (+.f64 (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))))))
2.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3))))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.8b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))) (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
50.2b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.0b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.4b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 7827144361880981797/30000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.1b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 307923648092522757233983952839/705600000000000000000000000 z) 1106209385320415913103082059/4200000000000000000000000)))
2.5b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
2.3b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.5b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
0.8b
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7))))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.8b
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
▶0.8b
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
▶0.7b
(*.f64 (PI.f64) (*.f64 (-.f64 (+.f64 (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (*.f64 -2 (-.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 z 4))))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
▶62.7b
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.8b
(*.f64 (PI.f64) (*.f64 (+.f64 (-.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.8b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.2b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (-.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 6765203681218851/5000000000000 (+.f64 z -1))) (+.f64 -9999999999998099/5000000000000000 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -1/2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.8b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 6765203681218851/5000000000000 (+.f64 z -1))) (/.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -1/2))) 2) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 6765203681218851/5000000000000 (+.f64 z -1)) (+.f64 (/.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -1/2) (/.f64 -3147848041806007/1250000000000 (+.f64 z -2)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/5000000000000 (+.f64 z -1)) (-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))) (+.f64 9999999999998099/5000000000000000 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.4b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.9b
(*.f64 (PI.f64) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
54.6b
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
54.6b
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
54.7b
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
54.7b
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
54.6b
(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
▶54.7b
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
Compiler

Compiled 6046 to 4752 computations (21.4% saved)

localize292.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
✓0.9b
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
✓1.0b
(+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 z 4)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 739 to 581 computations (21.4% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 z 4)))
1.0ms
z
@-inf
(+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 z 4)))
0.0ms
z
@0
(+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 z 4)))
0.0ms
z
@inf
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
0.0ms
z
@0
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))

rewrite100.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1290×rational_best-4
1290×rational_best-2
1290×rational_best-3
1290×rational_best-1
1290×exponential-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02368
115968
231868
383668
4340668
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 z 4)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/10000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)) (neg.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 883075145810703/10000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 883075145810703/10000000000000 (-.f64 4 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)) (/.f64 883075145810703/10000000000000 (-.f64 4 z)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 883075145810703/10000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 883075145810703/10000000000000 (-.f64 4 z))) (neg.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)) (/.f64 883075145810703/10000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -9999999999998099/10000000000000000 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/5000000000000 (-.f64 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simplify125.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1146×rational_best-simplify-57
952×rational_best-simplify-52
848×rational_best-simplify-51
822×rational_best-simplify-55
774×rational_best-simplify-48
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02573734
16013658
213423394
339603304
Stop Event
1×node limit
Counts
94 → 152
Calls
Call 1
Inputs
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(-.f64 (-.f64 (/.f64 7713234287776531/20000000000000 (-.f64 z 3)) 9999999999998099/10000000000000000) (-.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 7713234287776531/20000000000000 (-.f64 z 3))))
(-.f64 (-.f64 (+.f64 (/.f64 7713234287776531/20000000000000 (-.f64 z 3)) -9999999999998099/20000000000000000) (/.f64 -883075145810703/10000000000000 (-.f64 4 z))) (neg.f64 (+.f64 (/.f64 7713234287776531/20000000000000 (-.f64 z 3)) -9999999999998099/20000000000000000)))
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(*.f64 (+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/5000000000000 (-.f64 z 3))) (+.f64 -9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 z 4)))) 1/2)
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(*.f64 1/4 (+.f64 (/.f64 -883075145810703/2500000000000 (-.f64 z 4)) (*.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) 4)))
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(/.f64 (+.f64 (/.f64 -883075145810703/2500000000000 (-.f64 z 4)) (*.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) 4)) 4)
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(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(-.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)))
(-.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) 0)
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(-.f64 (/.f64 -2501468655737381/400000000000000 (-.f64 5 z)) (+.f64 (/.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))))
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(*.f64 (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (-.f64 5 z))) 1/4)
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(*.f64 (+.f64 (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (-.f64 5 z))) (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (-.f64 5 z)))) 1/8)
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(pow.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) 1)
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(neg.f64 (-.f64 (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))))
Outputs
-7080927928418498047/30000000000000000
(-.f64 (*.f64 -115464072292128169/1440000000000000 z) 7080927928418498047/30000000000000000)
(-.f64 (+.f64 (*.f64 -469803965480809003/17280000000000000 (pow.f64 z 2)) (*.f64 -115464072292128169/1440000000000000 z)) 7080927928418498047/30000000000000000)
(-.f64 (+.f64 (*.f64 -115464072292128169/1440000000000000 z) (*.f64 -469803965480809003/17280000000000000 (pow.f64 z 2))) 7080927928418498047/30000000000000000)
(-.f64 (*.f64 -115464072292128169/1440000000000000 z) (+.f64 7080927928418498047/30000000000000000 (*.f64 (pow.f64 z 2) 469803965480809003/17280000000000000)))
(-.f64 (+.f64 (*.f64 -469803965480809003/17280000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -1903058890860124993/207360000000000000 (pow.f64 z 3)) (*.f64 -115464072292128169/1440000000000000 z))) 7080927928418498047/30000000000000000)
(-.f64 (+.f64 (*.f64 -115464072292128169/1440000000000000 z) (+.f64 (*.f64 -1903058890860124993/207360000000000000 (pow.f64 z 3)) (*.f64 -469803965480809003/17280000000000000 (pow.f64 z 2)))) 7080927928418498047/30000000000000000)
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(-.f64 (+.f64 (*.f64 -469803965480809003/17280000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -115464072292128169/1440000000000000 z) (*.f64 -1903058890860124993/207360000000000000 (pow.f64 z 3)))) 7080927928418498047/30000000000000000)
-9999999999998099/10000000000000000
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(-.f64 (/.f64 1707539785491457/2500000000000 z) 9999999999998099/10000000000000000)
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(-.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)))
(+.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z -6)))
(-.f64 (/.f64 -2501468655737381/400000000000000 (-.f64 5 z)) (+.f64 (/.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))))
(-.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)))
(+.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z -6)))
(-.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/400000000000000 (-.f64 5 z))) (neg.f64 (/.f64 -2501468655737381/400000000000000 (-.f64 5 z))))
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(-.f64 (+.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/50000000000000000 (-.f64 6 z))) (neg.f64 (/.f64 3464277381643003/50000000000000000 (-.f64 6 z))))
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(-.f64 (-.f64 (/.f64 3464277381643003/50000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (neg.f64 (/.f64 3464277381643003/50000000000000000 (-.f64 6 z))))
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(-.f64 (-.f64 (/.f64 -2501468655737381/400000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6))) (neg.f64 (/.f64 -2501468655737381/400000000000000 (-.f64 5 z))))
(-.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)))
(+.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z -6)))
(*.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) 1)
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 1 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))))
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 2 (*.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) 1/2))
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 (+.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/100000000000000 (-.f64 5 z))) 1/2)
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 1/2 (+.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/100000000000000 (-.f64 5 z))))
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (-.f64 5 z))) 1/4)
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 1/4 (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (-.f64 5 z))))
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 (+.f64 (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (-.f64 5 z))) (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (-.f64 5 z)))) 1/8)
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(/.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) 1)
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(/.f64 (+.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/100000000000000 (-.f64 5 z))) 2)
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(/.f64 (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (-.f64 5 z))) 4)
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(/.f64 (+.f64 (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (-.f64 5 z))) (+.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/50000000000000 (-.f64 5 z)))) 8)
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(pow.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) 1)
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(neg.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))))
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))
(neg.f64 (-.f64 (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))))
(-.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)))
(+.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z -6)))

localize34.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
✓0.5b
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
✓1.0b
(sqrt.f64 (PI.f64))
✓1.0b
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
Compiler

Compiled 66 to 57 computations (13.6% saved)

series3.0ms (0%)

Counts
4 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
1.0ms
z
@inf
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
1.0ms
z
@inf
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
0.0ms
z
@0
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
0.0ms
z
@-inf
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))

rewrite102.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1264×rational_best-4
1264×rational_best-2
1264×rational_best-3
1264×rational_best-1
1264×exponential-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019102
1127102
224882
371682
4317782
Stop Event
1×node limit
Counts
4 → 99
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(sqrt.f64 (PI.f64))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (/.f64 (sqrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (PI.f64)) 2) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (PI.f64)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 (PI.f64)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 (sqrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (PI.f64)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (PI.f64)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (PI.f64)) 2)) (*.f64 2 (*.f64 (sqrt.f64 (PI.f64)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))))
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simplify88.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1004×rational_best-simplify-49
960×rational_best-simplify-53
880×rational_best-simplify-1
822×rational_best-simplify-63
754×rational_best-simplify-80
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02121983
15211983
217111983
Stop Event
1×node limit
Counts
99 → 106
Calls
Call 1
Inputs
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(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 2)) 2)
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (*.f64 (sqrt.f64 15/2) 2))) 4)
(/.f64 (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (*.f64 (sqrt.f64 15/2) 2))) (*.f64 (exp.f64 -15/2) (*.f64 2 (*.f64 (sqrt.f64 15/2) 2)))) 8)
(/.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 15/2) 2)) (*.f64 2 (*.f64 (exp.f64 -15/2) 2))) 16)
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
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(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z)
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(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15))) (*.f64 z z)) (/.f64 1 (/.f64 2 z)))
(*.f64 -2 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z -2)))
(*.f64 1/4 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) 4) z))
(*.f64 (/.f64 1/2 (*.f64 z 4)) (*.f64 2 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) 4)))
(*.f64 (/.f64 1 (/.f64 1 z)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)))
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(*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (/.f64 (/.f64 1 z) z))
(*.f64 (*.f64 z (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15)))) (/.f64 (/.f64 1/2 z) z))
(*.f64 (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (/.f64 1 z))
(*.f64 (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15))) z)) (/.f64 1/2 z))
(*.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) 4)) (/.f64 (/.f64 1/2 z) (+.f64 z z)))
(*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))
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(*.f64 (/.f64 (/.f64 1/2 z) (+.f64 z z)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) 4)))
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(pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 1)
(neg.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
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(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 0)
(-.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 2) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))) 2))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 1)
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15))) z)) 14609174657077663103082059/2100000000000000000000000) 4)
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15))) z)) 14609174657077663103082059/2100000000000000000000000) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15))) z)) 14609174657077663103082059/2100000000000000000000000)) 8)
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)) (*.f64 2 (*.f64 (sqrt.f64 (PI.f64)) 2))) 4)
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 1)
Outputs
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 0)
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 0 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(*.f64 (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15))) z)) (/.f64 1/2 z))
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)
(*.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) 4)) (/.f64 (/.f64 1/2 z) (+.f64 z z)))
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)
(*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)
(*.f64 (/.f64 (/.f64 1/2 z) z) (*.f64 z (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15)))))
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)
(*.f64 (/.f64 (/.f64 1/2 z) (+.f64 z z)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) 4)))
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)
(*.f64 (+.f64 (*.f64 z (/.f64 2 z)) -1) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (+.f64 -1 (*.f64 2 (/.f64 z z))))
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 (+.f64 -1 (*.f64 z (/.f64 2 z))) z))
(pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 1)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)
(neg.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 0)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 2) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 0)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 2) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))) 2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 1)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15))) z)) 14609174657077663103082059/2100000000000000000000000) 4)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15))) z)) 14609174657077663103082059/2100000000000000000000000) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 2 (sqrt.f64 15))) z)) 14609174657077663103082059/2100000000000000000000000)) 8)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)) (*.f64 2 (*.f64 (sqrt.f64 (PI.f64)) 2))) 4)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z))) 1)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))

localize80.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (PI.f64) z)
0.3b
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))
0.9b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 176 to 111 computations (36.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite74.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1306×rational_best-simplify-83
1206×rational_best-simplify-51
958×rational_best-simplify-63
948×rational_best-simplify-57
818×rational_best-simplify-64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1399
2779
31909
45849
522929
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(*.f64 (PI.f64) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 z 2)) (*.f64 (PI.f64) (/.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 z 2)) (neg.f64 (/.f64 (*.f64 (PI.f64) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 z 4)) (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (*.f64 (PI.f64) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) z) -2)) (*.f64 (PI.f64) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 2)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))) (neg.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))) (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (/.f64 z 2)) (/.f64 (*.f64 (PI.f64) z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (/.f64 z 4)) (*.f64 -3 (*.f64 (PI.f64) (/.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (/.f64 z 4)) (-.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (/.f64 (/.f64 (*.f64 (PI.f64) z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (/.f64 (neg.f64 (*.f64 (PI.f64) z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) z) -2)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))) (-.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 z 4))) (*.f64 (PI.f64) (/.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 -3/2 (neg.f64 (*.f64 (PI.f64) z))) 4)) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) z) -2) 4) (*.f64 (PI.f64) (/.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 8)) (-.f64 (/.f64 (neg.f64 (*.f64 (PI.f64) z)) 8) (*.f64 (PI.f64) (/.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z -4) (*.f64 (PI.f64) -4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (*.f64 (PI.f64) z) 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z 4) (*.f64 (*.f64 (PI.f64) 4) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (*.f64 (*.f64 (PI.f64) z) 8)) (*.f64 4 (*.f64 (*.f64 (PI.f64) z) 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 z 4) 4) (*.f64 (*.f64 (PI.f64) 4) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 4) 4) (*.f64 (*.f64 z 4) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (PI.f64) z)))))))

simplify69.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
984×rational_best-simplify-48
816×rational_best-simplify-52
768×rational_best-simplify-63
748×rational_best-simplify-51
686×rational_best-simplify-67
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103831
1240793
2611793
31840793
Stop Event
1×node limit
Counts
47 → 46
Calls
Call 1
Inputs
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(+.f64 (*.f64 (PI.f64) z) 0)
(+.f64 0 (*.f64 (PI.f64) z))
(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (*.f64 (PI.f64) (/.f64 z 2)))
(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (neg.f64 (/.f64 (*.f64 (PI.f64) z) -2)))
(+.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4))
(+.f64 (*.f64 (PI.f64) (/.f64 z 4)) (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) z) -2)))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (*.f64 (PI.f64) (/.f64 z 4)))
(+.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) z) -2)) (*.f64 (PI.f64) (/.f64 z 4)))
(+.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 2)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))) (neg.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))))
(+.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))) (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))))
(-.f64 (*.f64 (PI.f64) z) 0)
(-.f64 0 (neg.f64 (*.f64 (PI.f64) z)))
(-.f64 (*.f64 (PI.f64) (/.f64 z 2)) (/.f64 (*.f64 (PI.f64) z) -2))
(-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (*.f64 -3 (*.f64 (PI.f64) (/.f64 z 4))))
(-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (-.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4)))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (/.f64 (/.f64 (*.f64 (PI.f64) z) -2) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (/.f64 (neg.f64 (*.f64 (PI.f64) z)) 4))
(-.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) z) -2)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4))))
(-.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))) (-.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 z 4))) (*.f64 (PI.f64) (/.f64 z 4))))
(-.f64 (+.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 -3/2 (neg.f64 (*.f64 (PI.f64) z))) 4)) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) z) -2) 4) (*.f64 (PI.f64) (/.f64 z 4))))
(-.f64 (+.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 8)) (-.f64 (/.f64 (neg.f64 (*.f64 (PI.f64) z)) 8) (*.f64 (PI.f64) (/.f64 z 4))))
(/.f64 (*.f64 (PI.f64) z) 1)
(/.f64 (*.f64 (PI.f64) (+.f64 z z)) 2)
(/.f64 (neg.f64 (*.f64 (PI.f64) z)) -1)
(/.f64 (*.f64 (PI.f64) (*.f64 z 4)) 4)
(/.f64 (*.f64 (*.f64 z -4) (*.f64 (PI.f64) -4)) 16)
(/.f64 (*.f64 (*.f64 (PI.f64) z) 8) 8)
(/.f64 (*.f64 4 (*.f64 (*.f64 (PI.f64) z) 8)) 32)
(/.f64 (*.f64 (*.f64 z 4) (*.f64 (*.f64 (PI.f64) 4) 4)) 64)
(/.f64 (+.f64 (*.f64 4 (*.f64 (*.f64 (PI.f64) z) 8)) (*.f64 4 (*.f64 (*.f64 (PI.f64) z) 8))) 64)
(/.f64 (*.f64 (*.f64 (*.f64 z 4) 4) (*.f64 (*.f64 (PI.f64) 4) 4)) 256)
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 4) 4) (*.f64 (*.f64 z 4) 4)) 256)
(pow.f64 (*.f64 (PI.f64) z) 1)
(neg.f64 (neg.f64 (*.f64 (PI.f64) z)))
Outputs
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(+.f64 (*.f64 (PI.f64) z) 0)
(*.f64 z (PI.f64))
(+.f64 0 (*.f64 (PI.f64) z))
(*.f64 z (PI.f64))
(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (*.f64 (PI.f64) (/.f64 z 2)))
(*.f64 (/.f64 z 2) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (/.f64 (PI.f64) 2) (+.f64 z z))
(*.f64 (PI.f64) (/.f64 (+.f64 z z) 2))
(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (neg.f64 (/.f64 (*.f64 (PI.f64) z) -2)))
(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (neg.f64 (/.f64 (*.f64 z (PI.f64)) -2)))
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(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (neg.f64 (/.f64 (*.f64 z (PI.f64)) -2)))
(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (/.f64 (*.f64 z (PI.f64)) 2))
(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (*.f64 (*.f64 z (PI.f64)) 1/2))
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(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (*.f64 (PI.f64) (/.f64 z 4)))
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(-.f64 (*.f64 z (/.f64 (PI.f64) 4)) (/.f64 (*.f64 (PI.f64) (*.f64 z 6)) -8))
(+.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) z) -2)) (*.f64 (PI.f64) (/.f64 z 4)))
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(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (/.f64 (*.f64 z (PI.f64)) 2))
(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (*.f64 (*.f64 z (PI.f64)) 1/2))
(+.f64 (*.f64 z (/.f64 (PI.f64) 2)) (*.f64 (*.f64 z (PI.f64)) 1/2))
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(*.f64 (/.f64 z 2) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (/.f64 (PI.f64) 2) (+.f64 z z))
(*.f64 (PI.f64) (/.f64 (+.f64 z z) 2))
(+.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))) (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4)))))
(*.f64 (/.f64 z 2) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (/.f64 (PI.f64) 2) (+.f64 z z))
(*.f64 (PI.f64) (/.f64 (+.f64 z z) 2))
(-.f64 (*.f64 (PI.f64) z) 0)
(*.f64 z (PI.f64))
(-.f64 0 (neg.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(-.f64 (*.f64 (PI.f64) (/.f64 z 2)) (/.f64 (*.f64 (PI.f64) z) -2))
(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (neg.f64 (/.f64 (*.f64 z (PI.f64)) -2)))
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(+.f64 (*.f64 (PI.f64) (/.f64 z 2)) (*.f64 (*.f64 z (PI.f64)) 1/2))
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(-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (*.f64 -3 (*.f64 (PI.f64) (/.f64 z 4))))
(*.f64 (/.f64 z 2) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (/.f64 (PI.f64) 2) (+.f64 z z))
(*.f64 (PI.f64) (/.f64 (+.f64 z z) 2))
(-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (-.f64 0 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4)))
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(-.f64 (*.f64 z (/.f64 (PI.f64) 4)) (/.f64 (*.f64 (PI.f64) (*.f64 z 6)) -8))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4))))
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(-.f64 (*.f64 z (/.f64 (PI.f64) 4)) (/.f64 (*.f64 (PI.f64) (*.f64 z 6)) -8))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (/.f64 (/.f64 (*.f64 (PI.f64) z) -2) 2))
(*.f64 z (PI.f64))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 z 3)) 4) (/.f64 (neg.f64 (*.f64 (PI.f64) z)) 4))
(*.f64 z (PI.f64))
(-.f64 (-.f64 (*.f64 (PI.f64) (/.f64 z 4)) (/.f64 (*.f64 (PI.f64) z) -2)) (neg.f64 (*.f64 (PI.f64) (/.f64 z 4))))
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(*.f64 (/.f64 z 2) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (/.f64 (PI.f64) 2) (+.f64 z z))
(*.f64 (PI.f64) (/.f64 (+.f64 z z) 2))
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(/.f64 (*.f64 (PI.f64) z) 1)
(*.f64 z (PI.f64))
(/.f64 (*.f64 (PI.f64) (+.f64 z z)) 2)
(*.f64 z (PI.f64))
(/.f64 (neg.f64 (*.f64 (PI.f64) z)) -1)
(*.f64 z (PI.f64))
(/.f64 (*.f64 (PI.f64) (*.f64 z 4)) 4)
(*.f64 z (PI.f64))
(/.f64 (*.f64 (*.f64 z -4) (*.f64 (PI.f64) -4)) 16)
(*.f64 z (PI.f64))
(/.f64 (*.f64 (*.f64 (PI.f64) z) 8) 8)
(*.f64 z (PI.f64))
(/.f64 (*.f64 4 (*.f64 (*.f64 (PI.f64) z) 8)) 32)
(*.f64 z (PI.f64))
(/.f64 (*.f64 (*.f64 z 4) (*.f64 (*.f64 (PI.f64) 4) 4)) 64)
(*.f64 z (PI.f64))
(/.f64 (+.f64 (*.f64 4 (*.f64 (*.f64 (PI.f64) z) 8)) (*.f64 4 (*.f64 (*.f64 (PI.f64) z) 8))) 64)
(*.f64 z (PI.f64))
(/.f64 (*.f64 (*.f64 (*.f64 z 4) 4) (*.f64 (*.f64 (PI.f64) 4) 4)) 256)
(*.f64 z (PI.f64))
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) 4) 4) (*.f64 (*.f64 z 4) 4)) 256)
(*.f64 z (PI.f64))
(pow.f64 (*.f64 (PI.f64) z) 1)
(*.f64 z (PI.f64))
(neg.f64 (neg.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))

localize143.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
✓1.0b
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 12777243138120953/60000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
1.1b
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
Compiler

Compiled 350 to 240 computations (31.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 12777243138120953/60000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 12777243138120953/60000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms
z
@-inf
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 12777243138120953/60000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))

rewrite138.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1146×rational_best-simplify-85
722×rational_best-simplify-83
568×rational_best-simplify-1
508×rational_best-simplify-3
500×rational_best-4
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03097
121491
246279
3139373
4620573
Stop Event
1×node limit
Counts
1 → 83
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 12777243138120953/60000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
Outputs
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simplify184.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1252×rational_best-simplify-47
1218×rational_best-simplify-57
1108×rational_best-simplify-3
856×rational_best-simplify-53
830×rational_best-simplify-49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02917917
17517571
218717389
361357121
Stop Event
1×node limit
Counts
95 → 195
Calls
Call 1
Inputs
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(/.f64 (+.f64 (*.f64 2 (*.f64 2 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) -8116215966570329533/37500000000000000))) (*.f64 2 (+.f64 (/.f64 2496092394504893/125000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/12500000000000000000000 (-.f64 8 z))))) 4)
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Outputs
1106209385320415913103082059/4200000000000000000000000
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8116215966570329533/37500000000000000
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(-.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7)) (neg.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) -8116215966570329533/37500000000000000))))
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localize597.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
✓0.9b
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
✓1.0b
(+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 510 to 388 computations (23.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
0.0ms
z
@inf
(+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
0.0ms
z
@-inf
(+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
0.0ms
z
@inf
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
0.0ms
z
@-inf
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))

rewrite169.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
758×rational_best-4
758×rational_best-2
758×rational_best-3
758×rational_best-1
758×exponential-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039158
1280158
2608158
31882158
Stop Event
1×node limit
Counts
2 → 99
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
Outputs
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simplify262.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1050×rational_best-simplify-52
1032×rational_best-simplify-51
900×rational_best-simplify-48
684×rational_best-simplify-1
612×rational_best-simplify-108
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038312643
1105012619
2293711879
3795111879
Stop Event
1×node limit
Counts
123 → 251
Calls
Call 1
Inputs
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(-.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) 158029911332827738041619837/600000000000000000000000)
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-9999999999998099/10000000000000000
(-.f64 (*.f64 611458083724481459873279/25000000000000000000000 (/.f64 1 z)) 9999999999998099/10000000000000000)
(-.f64 (*.f64 611458083724481459873279/25000000000000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (*.f64 539195639413053773751721/3125000000000000000000 (/.f64 1 (pow.f64 z 2)))))
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(/.f64 (+.f64 (+.f64 (*.f64 2 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) -9999999999998099/10000000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 z 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 z -2))))) (-.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z)))) (/.f64 3764081837873279/12500000000000000000000 (+.f64 z -8))) 2)
(/.f64 (-.f64 (+.f64 (-.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z))) (/.f64 3764081837873279/12500000000000000000000 (+.f64 z -8))) (-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 -883075145810703/2500000000000 (-.f64 4 z))) (+.f64 (/.f64 6765203681218851/5000000000000 (+.f64 z -1)) (*.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) 2)))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 2 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) -9999999999998099/10000000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 z 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 z -2))))) (/.f64 3764081837873279/12500000000000000000000 (+.f64 z -8))) (-.f64 (/.f64 2501468655737381/100000000000000 (-.f64 5 z)) (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) -9999999999998099/10000000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 z 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8))) 2) (-.f64 (/.f64 2501468655737381/100000000000000 (-.f64 5 z)) (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)))) 2)
(pow.f64 (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) -9999999999998099/10000000000000000)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))))) 1)
(neg.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 z 5)))
(+.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 z 5))) 0)
(+.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 z 5))) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 0 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 z 5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z 5)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z 5)) (neg.f64 (neg.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 3464277381643003/50000000000000000 (-.f64 6 z)) (-.f64 (/.f64 3464277381643003/50000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (-.f64 (/.f64 3464277381643003/50000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/400000000000000 (-.f64 5 z))) (-.f64 (/.f64 3464277381643003/50000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/400000000000000 (-.f64 5 z))))
(+.f64 (-.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (neg.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/400000000000000 (-.f64 5 z))) (neg.f64 (/.f64 2501468655737381/400000000000000 (-.f64 5 z))))
(+.f64 (/.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z 5)) 2) (/.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 z 5)))) 2))
(+.f64 (-.f64 (/.f64 3464277381643003/50000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3464277381643003/50000000000000000 (-.f64 6 z)))
(*.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 z 5))) 1)
(*.f64 1 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 z 5))))
(*.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))) -1)
(*.f64 (-.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z))) 1/2)
(*.f64 1/2 (-.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z))))
(*.f64 (*.f64 2 (-.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z)))) 1/4)
(/.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 z 5))) 1)
(/.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))) -1)
(/.f64 (-.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z))) 2)
(/.f64 (*.f64 2 (-.f64 (/.f64 3464277381643003/12500000000000000 (-.f64 6 z)) (/.f64 2501468655737381/100000000000000 (-.f64 5 z)))) 4)
(/.f64 (-.f64 (/.f64 3464277381643003/6250000000000000 (-.f64 6 z)) (/.f64 2501468655737381/50000000000000 (-.f64 5 z))) 4)
(pow.f64 (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 z 5))) 1)
(neg.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))))
Outputs
-158029911332827738041619837/600000000000000000000000
(-.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) 158029911332827738041619837/600000000000000000000000)
(-.f64 (+.f64 (*.f64 -188364202380440208652374578533/345600000000000000000000000 (pow.f64 z 2)) (*.f64 -2097101627292369295257619837/4800000000000000000000000 z)) 158029911332827738041619837/600000000000000000000000)
(-.f64 (+.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) (*.f64 -188364202380440208652374578533/345600000000000000000000000 (pow.f64 z 2))) 158029911332827738041619837/600000000000000000000000)
(-.f64 (+.f64 (*.f64 -188364202380440208652374578533/345600000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -1677339687387162953001276978533/2764800000000000000000000000 (pow.f64 z 3)) (*.f64 -2097101627292369295257619837/4800000000000000000000000 z))) 158029911332827738041619837/600000000000000000000000)
(-.f64 (+.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) (+.f64 (*.f64 -1677339687387162953001276978533/2764800000000000000000000000 (pow.f64 z 3)) (*.f64 -188364202380440208652374578533/345600000000000000000000000 (pow.f64 z 2)))) 158029911332827738041619837/600000000000000000000000)
(-.f64 (+.f64 (*.f64 -188364202380440208652374578533/345600000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) (*.f64 -1677339687387162953001276978533/2764800000000000000000000000 (pow.f64 z 3)))) 158029911332827738041619837/600000000000000000000000)
(-.f64 (+.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) (+.f64 (*.f64 -188364202380440208652374578533/345600000000000000000000000 (pow.f64 z 2)) (*.f64 -1677339687387162953001276978533/2764800000000000000000000000 (pow.f64 z 3)))) 158029911332827738041619837/600000000000000000000000)
-9999999999998099/10000000000000000
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(-.f64 (/.f64 611458083724481459873279/25000000000000000000000 z) 9999999999998099/10000000000000000)
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-371756020978964147/150000000000000000
(-.f64 (*.f64 -446800080651085577/900000000000000000 z) 371756020978964147/150000000000000000)
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(/.f64 154609652292764811/12500000000000000 z)
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(/.f64 154609652292764811/12500000000000000 z)
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eval4.0s (3.5%)

Compiler

Compiled 98367 to 74804 computations (24% saved)

prune1.2s (1%)

Pruning

63 alts after pruning (63 fresh and 0 done)

PrunedKeptTotal
New1341261367
Fresh83745
Picked101
Done404
Total1354631417
Error
0.0b
Counts
1417 → 63
Alt Table
Click to see full alt table
StatusErrorProgram
54.7b
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
54.7b
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
2.0b
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2.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
2.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
54.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))
2.2b
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) -8116215966570329533/37500000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.3b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (exp.f64 (neg.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (-.f64 15/4 (/.f64 z 2)) (+.f64 (*.f64 2 (+.f64 z -15/2)) (-.f64 15/4 (/.f64 z 2))))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.6b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.9b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.5b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
2.3b
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) 12777243138120953/60000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
2.3b
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 28360068229156128294887105871/78400000000000000000000000 z)) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
54.6b
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
54.6b
(*.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))))
54.7b
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
54.7b
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
1.9b
(*.f64 (PI.f64) (*.f64 (/.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)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.1b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -945546248135186329/18750000000000000))))))
2.8b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (-.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) 371756020978964147/150000000000000000) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) -479507597606835099/10000000000000000) (*.f64 z 904338909853211/2500000000000))) (+.f64 (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))))))
2.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3))))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.0b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.4b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 7827144361880981797/30000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.1b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 307923648092522757233983952839/705600000000000000000000000 z) 1106209385320415913103082059/4200000000000000000000000)))
2.5b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
2.3b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
1.7b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
2.5b
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
0.8b
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.9b
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) 158029911332827738041619837/600000000000000000000000)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.8b
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.5b
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
1.4b
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (*.f64 z -446800080651085577/900000000000000000) 371756020978964147/150000000000000000)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.8b
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) -371756020978964147/150000000000000000))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (-.f64 (+.f64 (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (*.f64 -2 (-.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 z 4))))))) (/.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)))) (sin.f64 (*.f64 (PI.f64) z)))))
2.3b
(*.f64 (PI.f64) (*.f64 (-.f64 (+.f64 (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (*.f64 -2 (-.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 z 4))))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
62.7b
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64))))))
62.7b
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
62.7b
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
0.8b
(*.f64 (PI.f64) (*.f64 (+.f64 (-.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (-.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 6765203681218851/5000000000000 (+.f64 z -1))) (+.f64 -9999999999998099/5000000000000000 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) -1/2))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.8b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 6765203681218851/5000000000000 (+.f64 z -1))) (/.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -1/2))) 2) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 6765203681218851/5000000000000 (+.f64 z -1)) (+.f64 (/.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -1/2) (/.f64 -3147848041806007/1250000000000 (+.f64 z -2)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
0.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/5000000000000 (+.f64 z -1)) (-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))) (+.f64 9999999999998099/5000000000000000 (/.f64 7713234287776531/5000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.4b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.7b
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
1.9b
(*.f64 (PI.f64) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
54.6b
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
54.6b
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
54.7b
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
54.7b
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
2.4b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
50.2b
(*.f64 8116215966570329533/37500000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
54.6b
(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
54.7b
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
54.7b
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 1/2 z)) (+.f64 -1 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z -2)))) -1) (sqrt.f64 (PI.f64))))
59.5b
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
59.4b
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
59.4b
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
54.7b
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
54.7b
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
Compiler

Compiled 3218 to 2555 computations (20.6% saved)

regimes409.0ms (0.4%)

Counts
123 → 1
Calls
Call 1
Inputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.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 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
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(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 15/2)) (exp.f64 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)) (exp.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (exp.f64 (neg.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 (-.f64 15/2 z)) 2) (exp.f64 (-.f64 15/2 z)))) (*.f64 2 (exp.f64 (+.f64 z -15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

2 calls:

66.0ms
z
61.0ms
(*.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)))))
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 7733 to 5591 computations (27.7% saved)

regimes517.0ms (0.5%)

Counts
121 → 1
Calls
Call 1
Inputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
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(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))))
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(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 8116215966570329533/37500000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
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(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

2 calls:

58.0ms
(*.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)))))
55.0ms
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 7543 to 5457 computations (27.7% saved)

regimes506.0ms (0.4%)

Counts
118 → 1
Calls
Call 1
Inputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
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(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 1/2 z)) (+.f64 -1 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z -2)))) -1) (sqrt.f64 (PI.f64))))
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(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 8116215966570329533/37500000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (PI.f64) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 14609174657077663103082059/4200000000000000000000000) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 309219557958850910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 307923648092522757233983952839/705600000000000000000000000 z) 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 28360068229156128294887105871/78400000000000000000000000 z)) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) 158029911332827738041619837/600000000000000000000000)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 7827144361880981797/30000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) 12777243138120953/60000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
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(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (+.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/5000000000000 (-.f64 1 z)) (*.f64 2 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (+.f64 (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (*.f64 -2 (-.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 z 4))))))) (/.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)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (-.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (+.f64 (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (*.f64 -2 (-.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 -883075145810703/10000000000000 (-.f64 4 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3))) (/.f64 -883075145810703/10000000000000 (-.f64 z 4))))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.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 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 (/.f64 -3147848041806007/1250000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 6765203681218851/5000000000000 (+.f64 z -1))) (/.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -1/2))) 2) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 6765203681218851/5000000000000 (+.f64 z -1)) (+.f64 (/.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -1/2) (/.f64 -3147848041806007/1250000000000 (+.f64 z -2)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)) (exp.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 15/2)) (exp.f64 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)) (exp.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

2 calls:

138.0ms
(*.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)))))
53.0ms
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 7276 to 5270 computations (27.6% saved)

regimes210.0ms (0.2%)

Counts
72 → 1
Calls
Call 1
Inputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
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(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
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(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))) (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3))))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 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 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (*.f64 z -446800080651085577/900000000000000000) 371756020978964147/150000000000000000)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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)))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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)))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

31.0ms
z
Results
ErrorSegmentsBranch
0.8b1z
Compiler

Compiled 3155 to 2217 computations (29.7% saved)

regimes118.0ms (0.1%)

Counts
71 → 1
Calls
Call 1
Inputs
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(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
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(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
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(*.f64 (PI.f64) (*.f64 (/.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)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
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(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))) -9999999999998099/10000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))) (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3))))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
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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 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (*.f64 z -446800080651085577/900000000000000000) 371756020978964147/150000000000000000)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
Outputs
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (*.f64 z -446800080651085577/900000000000000000) 371756020978964147/150000000000000000)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

35.0ms
z
Results
ErrorSegmentsBranch
1.4b1z
Compiler

Compiled 3081 to 2160 computations (29.9% saved)

regimes94.0ms (0.1%)

Counts
66 → 1
Calls
Call 1
Inputs
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(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))) -9999999999998099/10000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3)))) (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (+.f64 z -3))))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 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 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
Calls

1 calls:

28.0ms
z
Results
ErrorSegmentsBranch
1.5b1z
Compiler

Compiled 2719 to 1896 computations (30.3% saved)

regimes234.0ms (0.2%)

Counts
55 → 1
Calls
Call 1
Inputs
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(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
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(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) -8116215966570329533/37500000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
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(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -945546248135186329/18750000000000000))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (-.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) 371756020978964147/150000000000000000) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z -3)) -479507597606835099/10000000000000000) (*.f64 z 904338909853211/2500000000000))) (+.f64 (/.f64 -3764081837873279/25000000000000000000000 (+.f64 z -8)) (/.f64 -2496092394504893/250000000000000000000 (+.f64 z -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 12777243138120953/60000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

26.0ms
z
Results
ErrorSegmentsBranch
1.7b1z
Compiler

Compiled 1980 to 1363 computations (31.2% saved)

regimes188.0ms (0.2%)

Counts
45 → 1
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
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(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
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(*.f64 (PI.f64) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 14609174657077663103082059/4200000000000000000000000) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 309219557958850910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 307923648092522757233983952839/705600000000000000000000000 z) 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 28360068229156128294887105871/78400000000000000000000000 z)) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) 158029911332827738041619837/600000000000000000000000)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 7827144361880981797/30000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) 12777243138120953/60000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) -8116215966570329533/37500000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z -7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 7827144361880981797/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (-.f64 -945546248135186329/18750000000000000 (-.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 z -4)))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z -4)) (-.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -945546248135186329/18750000000000000))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
Outputs
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) 158029911332827738041619837/600000000000000000000000)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

92.0ms
z
Results
ErrorSegmentsBranch
1.9b1z
Compiler

Compiled 1386 to 954 computations (31.2% saved)

regimes35.0ms (0%)

Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 1/2 z)) (+.f64 -1 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z -2)))) -1) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 8116215966570329533/37500000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (PI.f64) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 14609174657077663103082059/4200000000000000000000000) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 309219557958850910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 307923648092522757233983952839/705600000000000000000000000 z) 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 28360068229156128294887105871/78400000000000000000000000 z)) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (PI.f64) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

15.0ms
z
Results
ErrorSegmentsBranch
1.9b1z
Compiler

Compiled 771 to 533 computations (30.9% saved)

regimes84.0ms (0.1%)

Counts
27 → 1
Calls
Call 1
Inputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 1/2 z)) (+.f64 -1 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z -2)))) -1) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 8116215966570329533/37500000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

69.0ms
z
Results
ErrorSegmentsBranch
2.4b1z
Compiler

Compiled 577 to 412 computations (28.6% saved)

regimes26.0ms (0%)

Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 1/2 z)) (+.f64 -1 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z -2)))) -1) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 8116215966570329533/37500000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
Calls

1 calls:

12.0ms
z
Results
ErrorSegmentsBranch
2.5b1z
Compiler

Compiled 517 to 374 computations (27.7% saved)

regimes82.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 1/2 z)) (+.f64 -1 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z -2)))) -1) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
Calls

1 calls:

71.0ms
z
Results
ErrorSegmentsBranch
54.6b1z
Compiler

Compiled 459 to 339 computations (26.1% saved)

regimes20.0ms (0%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 1/2 z)) (+.f64 -1 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z -2)))) -1) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

11.0ms
z
Results
ErrorSegmentsBranch
54.6b1z
Compiler

Compiled 300 to 234 computations (22% saved)

regimes15.0ms (0%)

Accuracy

Total -8.1b remaining (-14.7%)

Threshold costs -8.1b (-14.7%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 14609174657077663103082059/4200000000000000000000000 z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 14609174657077663103082059/4200000000000000000000000 z)))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) 14609174657077663103082059/2100000000000000000000000)) 2)
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) z) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (*.f64 z (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (/.f64 1 z) z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z z)) (/.f64 1 (/.f64 1 z))) (sqrt.f64 (PI.f64))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 14609174657077663103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (PI.f64) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 1/2 z)) (+.f64 -1 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 z -2)))) -1) (sqrt.f64 (PI.f64))))
Outputs
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
Calls

1 calls:

8.0ms
z
Results
ErrorSegmentsBranch
54.7b1z
Compiler

Compiled 258 to 203 computations (21.3% saved)

simplify25.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01982262
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (*.f64 z -446800080651085577/900000000000000000) 371756020978964147/150000000000000000)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) 158029911332827738041619837/600000000000000000000000)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
Outputs
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (-.f64 15/2 z))) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 (-.f64 15/2 z)) (exp.f64 (*.f64 2 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 -9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 z 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z -8)) (-.f64 (*.f64 z -446800080651085577/900000000000000000) 371756020978964147/150000000000000000)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(*.f64 (PI.f64) (*.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (*.f64 -2097101627292369295257619837/4800000000000000000000000 z) 158029911332827738041619837/600000000000000000000000)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (PI.f64) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (PI.f64) (*.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
Compiler

Compiled 721 to 559 computations (22.5% saved)

soundness432.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
1518×rational_best-simplify-63
1434×rational_best-simplify-67
1136×rational_best-simplify-54
1058×rational_best-simplify-55
930×rational_best-simplify-47
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064311
1147273
2344269
3951257
42574257
04877576
113276752
243846386
Stop Event
1×node limit
1×node limit
Compiler

Compiled 1014 to 762 computations (24.9% saved)

end719.0ms (0.6%)

Compiler

Compiled 708 to 503 computations (29% saved)

Profiling

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