Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 1.8min)

analyze774.0ms (0.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
0%0%74.9%25.1%0%0%0%1
0%0%74.9%25.1%0%0%0%2
25%18.7%56.2%25.1%0%0%0%3
50%37.5%37.5%25.1%0%0%0%4
56.3%42.1%32.8%25.1%0%0%0%5
62.5%46.8%28.1%25.1%0%0%0%6
64.1%48%26.9%25.1%0%0%0%7
65.6%49.2%25.8%25.1%0%0%0%8
66%49.5%25.5%25.1%0%0%0%9
66.4%49.8%25.2%25.1%0%0%0%10
66.5%49.8%25.1%25.1%0%0%0%11
66.6%49.9%25.1%25.1%0%0%0%12
Compiler

Compiled 127 to 112 computations (11.8% saved)

sample32.9s (30.7%)

Results
25.7s3812×body8192exit
7.0s8168×body256valid
123.0ms88×body256infinite
67.0ms64×body256unsamplable
Bogosity

preprocess1.2s (1.1%)

Algorithm
egg-herbie
Rules
1314×associate-+r+
1086×distribute-rgt-in
1058×distribute-lft-in
956×associate-*r*
780×associate-*l*
Problems
252×(-.f64 (-.f64 1 z) 1)
(*.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))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0103981
1279883
21246699
37915699
Stop Event
node limit
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)))))
(*.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) (neg.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 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 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 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 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 8)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 1/2 (-.f64 (-.f64 1 (neg.f64 z)) -6)) (-.f64 (-.f64 1 (neg.f64 z)) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 (neg.f64 z)) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 (neg.f64 z)) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 (neg.f64 z)) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -7)))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z 1) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 z 1)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (+.f64 z 1) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 1 (-.f64 z -2))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z 1) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z 1) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z 1) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z 1) 7))))) (*.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z 1) 13/2) (+.f64 (+.f64 z 1) -1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 z 1) 13/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 8))))) (*.f64 (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (exp.f64 (-.f64 -15/2 z))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))
Compiler

Compiled 1019 to 896 computations (12.1% saved)

eval43.0ms (0%)

Compiler

Compiled 272 to 223 computations (18% saved)

prune120.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(*.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)))))
95.1%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
97.0%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
95.9%
(*.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)))))
95.1%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
97.0%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
Compiler

Compiled 796 to 684 computations (14.1% saved)

localize4.0s (3.7%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
8.9%
(-.f64 (-.f64 1 z) 1)
98.5%
(+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
98.5%
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.0%
(*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z))))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
98.5%
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))
98.5%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))
95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
8.9%
(+.f64 (-.f64 1 z) -1)
Compiler

Compiled 2497 to 2069 computations (17.1% saved)

series23.0ms (0%)

Counts
16 → 144
Calls

36 calls:

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

rewrite180.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
676×unpow-prod-down
574×fma-def
558×log-prod
414×prod-diff
370×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122840
13205782
Stop Event
node limit
Counts
16 → 393
Calls
Call 1
Inputs
(+.f64 (-.f64 1 z) -1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(-.f64 (-.f64 1 z) 1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
(sqrt.f64 (*.f64 (PI.f64) 2))
Outputs
(-.f64 1 (+.f64 1 z))
(-.f64 (-.f64 1 z) 1)
(-.f64 0 z)
(*.f64 1 (neg.f64 z))
(*.f64 -1 z)
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) 1) (pow.f64 (cbrt.f64 (neg.f64 z)) 1))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 z)) 1) (pow.f64 (sqrt.f64 (neg.f64 z)) 1))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (*.f64 (-.f64 1 z) 1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 2 z))
(pow.f64 (neg.f64 z) 1)
(pow.f64 (cbrt.f64 (neg.f64 z)) 3)
(pow.f64 (sqrt.f64 (neg.f64 z)) 2)
(pow.f64 (pow.f64 (neg.f64 z) 3) 1/3)
(neg.f64 z)
(log.f64 (exp.f64 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))
(log.f64 (/.f64 1 (exp.f64 z)))
(cbrt.f64 (pow.f64 (neg.f64 z) 3))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 1)
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2) 1) (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1) (pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
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(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) 2)
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(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) 1))
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(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 2)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1) (pow.f64 (sqrt.f64 2) 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))

simplify263.0ms (0.2%)

Algorithm
egg-herbie
Rules
1040×fma-def
874×associate-*r*
618×distribute-rgt-in
566×distribute-lft-in
520×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092628059
1250426293
Stop Event
node limit
Counts
537 → 461
Calls
Call 1
Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.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 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3))))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))))))) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))
7827144361880981797/30000000000000000
(+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z))
(+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2))))
(+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (+.f64 (*.f64 4708246094784852251/8640000000000000 (pow.f64 z 2)) (*.f64 62898174544540606049/103680000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1219830531815489/5000000000000 (/.f64 1 (pow.f64 z 3))))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 585619739096309/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1219830531815489/5000000000000 (/.f64 1 (pow.f64 z 3))))) (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
10409174657078461523082059/4200000000000000000000000
(+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 350291408665333106351952839/705600000000000000000000000 z))
(+.f64 10409174657078461523082059/4200000000000000000000000 (+.f64 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 350291408665333106351952839/705600000000000000000000000 z)))
(+.f64 10409174657078461523082059/4200000000000000000000000 (+.f64 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 350291408665333106351952839/705600000000000000000000000 z))))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
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 3224581990927430761/162000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)) (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)) (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2)))))
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
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(pow.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 2)
(log.f64 (exp.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))
(log.f64 (*.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (exp.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))))))) 1)
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) 2) 1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) 1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))) 2) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))) 2)) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))))))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (exp.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))) (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))
(fma.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))))
(fma.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z))))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 1 z)))))
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(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 3)
(pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (exp.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(log.f64 (*.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(exp.f64 (*.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 2)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1) (pow.f64 (sqrt.f64 2) 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 479507597606835099/10000000000000000 (fma.f64 904338909853211/2500000000000 z (*.f64 2076511864126339/4000000000000 (*.f64 z z))))
(+.f64 (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000) (*.f64 2076511864126339/4000000000000 (*.f64 z z)))
(+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(+.f64 479507597606835099/10000000000000000 (fma.f64 904338909853211/2500000000000 z (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000) (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (*.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 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (sqrt.f64 15/2)))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (sqrt.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 z (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (sqrt.f64 15/2)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (sqrt.f64 (PI.f64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 z (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (*.f64 (*.f64 z z) (fma.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))))))
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(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))) 1)
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 1)
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 3)
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3) 1/3)
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 2)
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(exp.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) 1))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1) (pow.f64 (sqrt.f64 2) 1))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))

eval9.3s (8.7%)

Compiler

Compiled 58915 to 47761 computations (18.9% saved)

prune1.2s (1.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New57522597
Fresh000
Picked404
Done000
Total57922601
Accuracy
100.0%
Counts
601 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.8%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.6%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
94.0%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
93.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
46.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) 2))))))))
96.5%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.5%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 2) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z 350291408665333106351952839/705600000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.3%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 10409174657078461523082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.7%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.8%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.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 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.8%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.2%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.2%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (sqrt.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.1%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
97.8%
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.8%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.6%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
94.0%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
93.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
46.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) 2))))))))
96.5%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.5%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 2) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z 350291408665333106351952839/705600000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.3%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 10409174657078461523082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.7%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.8%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.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 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.8%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.2%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.2%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (sqrt.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.1%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 6792 to 5728 computations (15.7% saved)

localize3.3s (3.1%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))
95.7%
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
8.9%
(+.f64 (-.f64 1 z) -1)
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.5%
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.0%
(*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z))))
98.5%
(*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2)))
98.5%
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.0%
(*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z))))
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.5%
(+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
98.5%
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
98.4%
(sqrt.f64 (PI.f64))
98.5%
(log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.0%
(exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
Compiler

Compiled 2215 to 1752 computations (20.9% saved)

series66.0ms (0.1%)

Counts
9 → 96
Calls

24 calls:

TimeVariablePointExpression
38.0ms
z
@inf
(log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))
20.0ms
z
@-inf
(log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))
2.0ms
z
@0
(exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
1.0ms
z
@0
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
1.0ms
z
@0
(*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2)))

rewrite117.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1732×pow1
1724×add-exp-log
1722×add-log-exp
1720×log1p-expm1-u
1720×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076451
11848451
Stop Event
node limit
Counts
9 → 86
Calls
Call 1
Inputs
(exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))
(sqrt.f64 (PI.f64))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2)))
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
Outputs
(*.f64 1 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) (cbrt.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))) (cbrt.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))) 1)
(log.f64 (exp.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (log.f64 (fma.f64 -1 z 15/2)) (-.f64 1/2 z)))
(*.f64 1 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))
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(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (-.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
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(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))

simplify168.0ms (0.2%)

Algorithm
egg-herbie
Rules
730×associate-*l*
646×distribute-rgt-in
646×associate-*r*
634×distribute-lft-in
576×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046410416
112899976
256589374
Stop Event
node limit
Counts
182 → 232
Calls
Call 1
Inputs
(exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2))
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(exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) (fma.f64 -1 z 15/2)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) (fma.f64 -1 z 15/2)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) (fma.f64 -1 z 15/2)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) (fma.f64 -1 z 15/2)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 -1 z 15/2) (+.f64 1/2 (*.f64 -1 z)))))) (fma.f64 -1 z 15/2)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 -1 z 15/2) (+.f64 1/2 (*.f64 -1 z)))))) (fma.f64 -1 z 15/2)))
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(exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 -1 z 15/2) (+.f64 1/2 (*.f64 -1 z)))))) (fma.f64 -1 z 15/2)))
(log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
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(pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
Outputs
(exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2))
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) -15/2))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (exp.f64 -15/2))
(+.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2)) (*.f64 z (*.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2)) (+.f64 14/15 (*.f64 -1 (log.f64 15/2))))))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) -15/2)) (*.f64 z (*.f64 (exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) -15/2)) (+.f64 14/15 (neg.f64 (log.f64 15/2))))))
(fma.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (exp.f64 -15/2)) (-.f64 14/15 (log.f64 15/2))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (exp.f64 -15/2)))
(+.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2)) (+.f64 (*.f64 z (*.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2)) (+.f64 14/15 (*.f64 -1 (log.f64 15/2))))) (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)) (*.f64 2 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (*.f64 1/2 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 2)))))))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) -15/2)) (fma.f64 z (*.f64 (exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) -15/2)) (+.f64 14/15 (neg.f64 (log.f64 15/2)))) (*.f64 (*.f64 (*.f64 z z) (exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) -15/2))) (*.f64 1/2 (+.f64 (fma.f64 -1 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) (+.f64 58/225 (*.f64 2 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))) (pow.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) 2))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (exp.f64 -15/2)) (fma.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (exp.f64 -15/2)) (-.f64 14/15 (log.f64 15/2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (*.f64 1/2 (+.f64 (-.f64 (+.f64 58/225 (*.f64 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 1)) (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2)) (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2))) (*.f64 z z)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (exp.f64 -15/2)) (fma.f64 z (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (exp.f64 -15/2)) (-.f64 14/15 (log.f64 15/2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (*.f64 1/2 (+.f64 (+.f64 58/225 (-.f64 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2))) (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2))) (*.f64 z z)))))
(+.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2)) (+.f64 (*.f64 z (*.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2)) (+.f64 14/15 (*.f64 -1 (log.f64 15/2))))) (+.f64 (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)) (*.f64 2 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (*.f64 1/2 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 2))))) (*.f64 (pow.f64 z 3) (*.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2)) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -6 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))) (+.f64 (*.f64 2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)) (*.f64 6 (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 3)) (*.f64 1/2 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (+.f64 (*.f64 -1 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)) (*.f64 2 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))))))))))))
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eval17.3s (16.2%)

Compiler

Compiled 98054 to 78918 computations (19.5% saved)

prune1.2s (1.1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New1111181129
Fresh8917
Picked505
Done000
Total1124271151
Accuracy
100.0%
Counts
1151 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
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97.8%
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (fma.f64 z 134230295382513208999/300000000000000000 22877660562801769241/75000000000000000) (fma.f64 (*.f64 z z) 2957552238048706626997/5400000000000000000 (*.f64 (pow.f64 z 3) 6559342973506630388999/10800000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
97.1%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
97.8%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
46.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) 2))))))))
95.6%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
97.4%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
96.2%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
97.3%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2)))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.5%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
96.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 z) (+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (pow.f64 z 3))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
96.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
97.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 2) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z 350291408665333106351952839/705600000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.3%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 10409174657078461523082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.7%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.2%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
95.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
96.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
97.8%
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (fma.f64 z 134230295382513208999/300000000000000000 22877660562801769241/75000000000000000) (fma.f64 (*.f64 z z) 2957552238048706626997/5400000000000000000 (*.f64 (pow.f64 z 3) 6559342973506630388999/10800000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
97.1%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
97.8%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
46.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) 2))))))))
95.6%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
97.4%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
96.2%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
97.3%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2)))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.5%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
96.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 z) (+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (pow.f64 z 3))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
96.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
97.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 2) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z 350291408665333106351952839/705600000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.3%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 10409174657078461523082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.7%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 8 (+.f64 z 1))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 9 (+.f64 z 1)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.2%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
95.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
96.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 6492 to 5436 computations (16.3% saved)

localize3.1s (2.9%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.5%
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
98.4%
(sqrt.f64 (*.f64 2 (PI.f64)))
97.3%
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
99.1%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
98.5%
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
98.4%
(sqrt.f64 (PI.f64))
99.1%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
98.5%
(*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.0%
(*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z))))
99.5%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
99.2%
(/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
99.1%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
98.4%
(sqrt.f64 (PI.f64))
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.5%
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.0%
(*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z))))
Compiler

Compiled 1375 to 1046 computations (23.9% saved)

series89.0ms (0.1%)

Counts
10 → 108
Calls

27 calls:

TimeVariablePointExpression
66.0ms
z
@-inf
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
3.0ms
z
@0
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
3.0ms
z
@-inf
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
2.0ms
z
@-inf
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
2.0ms
z
@inf
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))

rewrite162.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
654×cbrt-prod
520×unpow-prod-down
514×log-prod
446×exp-prod
402×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098650
12358646
Stop Event
node limit
Counts
10 → 203
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(sqrt.f64 (*.f64 2 (PI.f64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2)) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 2)) 1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2)) (-.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(fma.f64 1 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
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(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1))
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(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
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(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (fma.f64 z 134230295382513208999/300000000000000000 (fma.f64 2957552238048706626997/5400000000000000000 (*.f64 z z) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3))))))))) 1)
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(pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (fma.f64 z 134230295382513208999/300000000000000000 (fma.f64 2957552238048706626997/5400000000000000000 (*.f64 z z) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (fma.f64 z 134230295382513208999/300000000000000000 (fma.f64 2957552238048706626997/5400000000000000000 (*.f64 z z) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))))) 2)
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15)) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (fma.f64 z 134230295382513208999/300000000000000000 (fma.f64 2957552238048706626997/5400000000000000000 (*.f64 z z) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3))))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (fma.f64 z 134230295382513208999/300000000000000000 (fma.f64 2957552238048706626997/5400000000000000000 (*.f64 z z) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3))))))))))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) 3) (pow.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (fma.f64 z 134230295382513208999/300000000000000000 (fma.f64 2957552238048706626997/5400000000000000000 (*.f64 z z) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (fma.f64 z 134230295382513208999/300000000000000000 (fma.f64 2957552238048706626997/5400000000000000000 (*.f64 z z) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) 3) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (fma.f64 z 134230295382513208999/300000000000000000 (fma.f64 2957552238048706626997/5400000000000000000 (*.f64 z z) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (fma.f64 z 134230295382513208999/300000000000000000 (fma.f64 2957552238048706626997/5400000000000000000 (*.f64 z z) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 1)
(pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) 3) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 1))
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (PI.f64))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))

simplify263.0ms (0.2%)

Algorithm
egg-herbie
Rules
1166×associate-*r*
1064×associate-*l*
766×fma-def
540×distribute-rgt-in
536×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076622387
1206322149
Stop Event
node limit
Counts
311 → 359
Calls
Call 1
Inputs
1281148997586566542903082059/4200000000000000000000000
(+.f64 1281148997586566542903082059/4200000000000000000000000 (*.f64 105236551628368649859877317613/235200000000000000000000000 z))
(+.f64 1281148997586566542903082059/4200000000000000000000000 (+.f64 (*.f64 105236551628368649859877317613/235200000000000000000000000 z) (*.f64 64924186733130665163902252520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 1281148997586566542903082059/4200000000000000000000000 (+.f64 (*.f64 105236551628368649859877317613/235200000000000000000000000 z) (+.f64 (*.f64 64924186733130665163902252520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 4031739514751540207523181667723333/6638284800000000000000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4714150480420063285362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 4714150480420063285362579/25000000000000000000000 (/.f64 1 z)) (*.f64 2946130409584610709602833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 4714150480420063285362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 2946130409584610709602833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 16105539372948404397466389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) 3) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 1))
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (PI.f64))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
Outputs
1281148997586566542903082059/4200000000000000000000000
(+.f64 1281148997586566542903082059/4200000000000000000000000 (*.f64 105236551628368649859877317613/235200000000000000000000000 z))
(fma.f64 105236551628368649859877317613/235200000000000000000000000 z 1281148997586566542903082059/4200000000000000000000000)
(+.f64 1281148997586566542903082059/4200000000000000000000000 (+.f64 (*.f64 105236551628368649859877317613/235200000000000000000000000 z) (*.f64 64924186733130665163902252520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 1281148997586566542903082059/4200000000000000000000000 (fma.f64 105236551628368649859877317613/235200000000000000000000000 z (*.f64 64924186733130665163902252520019/118540800000000000000000000000 (*.f64 z z))))
(+.f64 1281148997586566542903082059/4200000000000000000000000 (fma.f64 105236551628368649859877317613/235200000000000000000000000 z (*.f64 z (*.f64 z 64924186733130665163902252520019/118540800000000000000000000000))))
(+.f64 1281148997586566542903082059/4200000000000000000000000 (+.f64 (*.f64 105236551628368649859877317613/235200000000000000000000000 z) (+.f64 (*.f64 64924186733130665163902252520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 4031739514751540207523181667723333/6638284800000000000000000000000 (pow.f64 z 3)))))
(+.f64 1281148997586566542903082059/4200000000000000000000000 (fma.f64 105236551628368649859877317613/235200000000000000000000000 z (fma.f64 64924186733130665163902252520019/118540800000000000000000000000 (*.f64 z z) (*.f64 4031739514751540207523181667723333/6638284800000000000000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 105236551628368649859877317613/235200000000000000000000000 z 1281148997586566542903082059/4200000000000000000000000) (fma.f64 4031739514751540207523181667723333/6638284800000000000000000000000 (pow.f64 z 3) (*.f64 z (*.f64 z 64924186733130665163902252520019/118540800000000000000000000000))))
9999999999998099/10000000000000000
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(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4714150480420063285362579/25000000000000000000000 z) (/.f64 2946130409584610709602833/6250000000000000000000 (*.f64 z z))))
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(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 4714150480420063285362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 2946130409584610709602833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 16105539372948404397466389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4714150480420063285362579/25000000000000000000000 z) (+.f64 (/.f64 2946130409584610709602833/6250000000000000000000 (*.f64 z z)) (/.f64 16105539372948404397466389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -4714150480420063285362579/25000000000000000000000 z)) (+.f64 (/.f64 2946130409584610709602833/6250000000000000000000 (*.f64 z z)) (/.f64 16105539372948404397466389/6250000000000000000000 (pow.f64 z 3))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4714150480420063285362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 4714150480420063285362579/25000000000000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -4714150480420063285362579/25000000000000000000000 z))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 4714150480420063285362579/25000000000000000000000 (/.f64 1 z)) (*.f64 2946130409584610709602833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4714150480420063285362579/25000000000000000000000 z) (/.f64 2946130409584610709602833/6250000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -4714150480420063285362579/25000000000000000000000 z)) (/.f64 2946130409584610709602833/6250000000000000000000 (*.f64 z z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 4714150480420063285362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 2946130409584610709602833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 16105539372948404397466389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4714150480420063285362579/25000000000000000000000 z) (+.f64 (/.f64 2946130409584610709602833/6250000000000000000000 (*.f64 z z)) (/.f64 16105539372948404397466389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -4714150480420063285362579/25000000000000000000000 z)) (+.f64 (/.f64 2946130409584610709602833/6250000000000000000000 (*.f64 z z)) (/.f64 16105539372948404397466389/6250000000000000000000 (pow.f64 z 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z)
(/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z)
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(/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
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(/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
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(/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
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(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z)
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(/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z)
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(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (PI.f64))) 1/2))
(sqrt.f64 (*.f64 2 (PI.f64)))
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eval11.2s (10.4%)

Compiler

Compiled 67911 to 53598 computations (21.1% saved)

prune963.0ms (0.9%)

Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New989291018
Fresh14822
Picked505
Done000
Total1008371045
Accuracy
100.0%
Counts
1045 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 2)
95.3%
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 3)
45.0%
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))))) 1)
96.5%
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
97.6%
(*.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 1281148997586566542903082059/4200000000000000000000000 (*.f64 105236551628368649859877317613/235200000000000000000000000 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (+.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
97.1%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
99.2%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
95.6%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15)))))
96.2%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
97.3%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2)))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
96.7%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
97.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z 350291408665333106351952839/705600000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.3%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 10409174657078461523082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
2.5%
(*.f64 (*.f64 (pow.f64 z 3) 6559342973506630388999/10800000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.1%
(*.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
2.5%
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
48.7%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))) 2))
96.1%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
96.7%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
95.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) 3)))
96.2%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))
96.2%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15)))))
44.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
45.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))))
44.7%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
45.0%
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))))
48.6%
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 2)
95.3%
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 3)
45.0%
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))))) 1)
96.5%
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
97.6%
(*.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 1281148997586566542903082059/4200000000000000000000000 (*.f64 105236551628368649859877317613/235200000000000000000000000 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (+.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
97.1%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
99.2%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
95.6%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15)))))
96.2%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
97.3%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2)))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
96.7%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
97.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z 350291408665333106351952839/705600000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.3%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 10409174657078461523082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
2.5%
(*.f64 (*.f64 (pow.f64 z 3) 6559342973506630388999/10800000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.1%
(*.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
2.5%
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
48.7%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))) 2))
96.1%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
96.7%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
95.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) 3)))
96.2%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))
96.2%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15)))))
44.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
45.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))))
44.7%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
45.0%
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))))
Compiler

Compiled 5344 to 4528 computations (15.3% saved)

localize1.9s (1.8%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.2%
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
99.2%
(*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2)))
99.2%
(sqrt.f64 (*.f64 (PI.f64) 2))
51.2%
(PI.f64)
99.6%
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 2)
99.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
99.2%
(sqrt.f64 (PI.f64))
51.2%
(PI.f64)
99.8%
(*.f64 (*.f64 z z) (exp.f64 -15/2))
99.8%
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
99.2%
(sqrt.f64 (PI.f64))
51.2%
(PI.f64)
99.6%
(/.f64 (exp.f64 -15/2) z)
99.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
99.2%
(sqrt.f64 (PI.f64))
51.2%
(PI.f64)
99.2%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
99.2%
(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
99.2%
(sqrt.f64 (*.f64 2 (PI.f64)))
51.2%
(PI.f64)
Compiler

Compiled 911 to 686 computations (24.7% saved)

series13.0ms (0%)

Counts
12 → 48
Calls

18 calls:

TimeVariablePointExpression
3.0ms
z
@0
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 2)
2.0ms
z
@-inf
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 2)
1.0ms
z
@0
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
1.0ms
z
@-inf
(/.f64 (exp.f64 -15/2) z)
1.0ms
z
@inf
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 2)

rewrite158.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
994×expm1-udef
982×log1p-udef
624×associate-*r*
586×add-sqr-sqrt
562×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032226
1662220
27264220
Stop Event
node limit
Counts
12 → 260
Calls
Call 1
Inputs
(PI.f64)
(PI.f64)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(/.f64 (exp.f64 -15/2) z)
(PI.f64)
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(*.f64 (*.f64 z z) (exp.f64 -15/2))
(PI.f64)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 2)
(PI.f64)
(*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))) 1)
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) z)
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(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) 1/4)) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) 1/4))
(*.f64 (pow.f64 (sqrt.f64 1106209385320415913103082059/4200000000000000000000000) 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z)))))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))) (sqrt.f64 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15))
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(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) 1) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))
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(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) z)
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))))
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) 3))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))

simplify132.0ms (0.1%)

Algorithm
egg-herbie
Rules
1252×associate-*r/
956×distribute-rgt-in
950×distribute-lft-in
692×log-prod
662×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03457414
17847370
229557328
Stop Event
node limit
Counts
308 → 187
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
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(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1)
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(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
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(cbrt.f64 (pow.f64 (PI.f64) 3))
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(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) 1/4)) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) 1/4))
(*.f64 (pow.f64 (sqrt.f64 1106209385320415913103082059/4200000000000000000000000) 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z)))))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))) (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))) (cbrt.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))) (sqrt.f64 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15))
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 15)) (/.f64 (exp.f64 -15/2) z))
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) 1) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (cbrt.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))) (cbrt.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) (sqrt.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) z)
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))))
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))) 3))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (sqrt.f64 15/2)) (*.f64 z z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 6559342973506630388999/10800000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 6559342973506630388999/10800000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 z z))) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (sqrt.f64 15/2)) (*.f64 z z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 6559342973506630388999/10800000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 6559342973506630388999/10800000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 z z))) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (sqrt.f64 15/2)) (*.f64 z z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 6559342973506630388999/10800000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 6559342973506630388999/10800000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 z z))) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 2)) (sqrt.f64 15/2)) (*.f64 z z))))
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(*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2)) 3))
(*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3/2))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3/2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))) 1))
(*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3/2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3/2))

eval6.2s (5.8%)

Compiler

Compiled 35062 to 26559 computations (24.3% saved)

prune1.1s (1.1%)

Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New77617793
Fresh141832
Picked325
Done000
Total79337830
Accuracy
100.0%
Counts
830 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) z)
45.0%
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))) 1)
96.4%
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
96.5%
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
97.6%
(*.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 1281148997586566542903082059/4200000000000000000000000 (*.f64 105236551628368649859877317613/235200000000000000000000000 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (+.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
97.1%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
95.6%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
95.6%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
96.7%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))
97.4%
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z 350291408665333106351952839/705600000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.3%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 10409174657078461523082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.5%
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15))
96.6%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
97.1%
(*.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
2.5%
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
96.7%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
95.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) 3)))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15))))
45.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15))))
44.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
95.7%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
95.6%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
45.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))))
44.7%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
26.5%
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
2.5%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z 4)) 43024980244090803693234368659111278060222001/7776000000000000000000000000000000000)))
26.6%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
26.6%
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
4.0%
(log1p.f64 (expm1.f64 (*.f64 6559342973506630388999/10800000000000000000 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z 4) (exp.f64 -15))))))))
45.0%
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))))
Compiler

Compiled 5261 to 4214 computations (19.9% saved)

regimes763.0ms (0.7%)

Counts
90 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z 4)) 43024980244090803693234368659111278060222001/7776000000000000000000000000000000000)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
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(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
Outputs
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
Calls

2 calls:

79.0ms
(*.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)))))
43.0ms
z
Results
AccuracySegmentsBranch
99.2%1z
99.2%1(*.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 4254 to 3360 computations (21% saved)

regimes561.0ms (0.5%)

Counts
77 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z 4)) 43024980244090803693234368659111278060222001/7776000000000000000000000000000000000)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15))))
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(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))) 1)
(*.f64 (*.f64 (pow.f64 z 3) 6559342973506630388999/10800000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
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(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
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(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (fma.f64 z 134230295382513208999/300000000000000000 22877660562801769241/75000000000000000) (fma.f64 (*.f64 z z) 2957552238048706626997/5400000000000000000 (*.f64 (pow.f64 z 3) 6559342973506630388999/10800000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
Outputs
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

2 calls:

72.0ms
(*.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)))))
37.0ms
z
Results
AccuracySegmentsBranch
97.8%1z
97.8%1(*.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 3070 to 2407 computations (21.6% saved)

regimes380.0ms (0.4%)

Counts
69 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z 4)) 43024980244090803693234368659111278060222001/7776000000000000000000000000000000000)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15))))
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(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))) 1)
(*.f64 (*.f64 (pow.f64 z 3) 6559342973506630388999/10800000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15)))))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
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(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z 350291408665333106351952839/705600000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
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Outputs
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
Calls

1 calls:

33.0ms
z
Results
AccuracySegmentsBranch
97.8%1z
Compiler

Compiled 2250 to 1737 computations (22.8% saved)

regimes320.0ms (0.3%)

Counts
64 → 1
Calls
Call 1
Inputs
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(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z 4)) 43024980244090803693234368659111278060222001/7776000000000000000000000000000000000)))
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(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 z) (+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (pow.f64 z 3))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
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(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
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(*.f64 (+.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
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(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z 350291408665333106351952839/705600000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
Outputs
(*.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

31.0ms
z
Results
AccuracySegmentsBranch
97.6%1z
Compiler

Compiled 1878 to 1452 computations (22.7% saved)

regimes289.0ms (0.3%)

Counts
62 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
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(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 3 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z 350291408665333106351952839/705600000000000000000000000))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

30.0ms
z
Results
AccuracySegmentsBranch
97.4%1z
Compiler

Compiled 1735 to 1343 computations (22.6% saved)

regimes155.0ms (0.1%)

Counts
45 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z 4)) 43024980244090803693234368659111278060222001/7776000000000000000000000000000000000)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15))) z))
(*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) z)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(*.f64 6559342973506630388999/10800000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 z z) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 22877660562801769241/75000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (*.f64 z 134230295382513208999/300000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15))))
(log1p.f64 (expm1.f64 (*.f64 6559342973506630388999/10800000000000000000 (sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z 4) (exp.f64 -15))))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) 3)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))) 2))
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 3)
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z))))) 1)
(*.f64 (*.f64 (pow.f64 z 3) 6559342973506630388999/10800000000000000000) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 22877660562801769241/75000000000000000 (+.f64 (*.f64 134230295382513208999/300000000000000000 z) (+.f64 (*.f64 2957552238048706626997/5400000000000000000 (pow.f64 z 2)) (*.f64 6559342973506630388999/10800000000000000000 (pow.f64 z 3)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15)))))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
Calls

1 calls:

23.0ms
z
Results
AccuracySegmentsBranch
96.7%1z
Compiler

Compiled 873 to 691 computations (20.8% saved)

regimes23.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z 4)) 43024980244090803693234368659111278060222001/7776000000000000000000000000000000000)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
96.4%1z
Compiler

Compiled 99 to 75 computations (24.2% saved)

regimes14.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z 4)) 43024980244090803693234368659111278060222001/7776000000000000000000000000000000000)))
Outputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
Calls

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
26.6%1z
Compiler

Compiled 51 to 38 computations (25.5% saved)

regimes10.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
Outputs
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
26.6%1z
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
26.5%1z
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify82.0ms (0.1%)

Algorithm
egg-herbie
Rules
62×*-commutative
56×+-commutative
26×sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331192
11971192
22111192
32141192
42151192
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
Outputs
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (+.f64 (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (-.f64 (*.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000)))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(sqrt.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))) (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15)))))
Compiler

Compiled 392 to 323 computations (17.6% saved)

soundness4.7s (4.4%)

Rules
1314×associate-+r+
1252×associate-*r/
1252×associate-*r/
1252×associate-*r/
1086×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103981
1279883
21246699
37915699
0122840
13205782
092628059
1250426293
0122840
13205782
092628059
1250426293
098650
12358646
092628059
1250426293
098650
12358646
032226
1662220
27264220
03457414
17847370
229557328
03457414
17847370
229557328
03457414
17847370
229557328
098650
12358646
092628059
1250426293
046410416
112899976
256589374
0122840
13205782
092628059
1250426293
0122840
13205782
092628059
1250426293
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 4972 to 3841 computations (22.7% saved)

end1.0ms (0%)

preprocess2.4s (2.3%)

Compiler

Compiled 1014 to 808 computations (20.3% saved)

Profiling

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