Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 1.4min)

analyze642.0ms (0.8%)

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

sample56.4s (66.4%)

Results
51.7s3795×body8192exit
4.6s8160×body256valid
53.0ms96×body256infinite
48.0ms97×body256unsamplable
Bogosity

preprocess1.9s (2.2%)

Algorithm
egg-herbie
Rules
1342×associate-+r+
1222×distribute-rgt-in
1190×distribute-lft-in
1106×associate-*r*
886×associate-*l*
Problems
256×(-.f64 (-.f64 1 z) 1)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01051488
12871328
213131080
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)))))
(neg.f64 (*.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.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 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.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 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (+.f64 z 1) 13/2) (+.f64 1 (-.f64 z 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 z 1) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z 1) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 1 (-.f64 z -3)))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 1 (-.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 1 (-.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 1 (-.f64 z -7)))))))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 z 1))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) (/.f64 2501468655737381/200000000000000 (+.f64 z 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 8))))) (*.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (*.f64 (exp.f64 (-.f64 -15/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(neg.f64 (*.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 (neg.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))) (*.f64 (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 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 z 1) 13/2) (+.f64 1 (-.f64 z 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 z 1) 13/2))))) (neg.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 z -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z 1) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 1 (-.f64 z -3)))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 1 (-.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 1 (-.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 1 (-.f64 z -7)))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (-.f64 -15/2 z)) (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 z 1))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 3))) (/.f64 -883075145810703/5000000000000 (+.f64 z 4))) (/.f64 2501468655737381/200000000000000 (+.f64 z 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 8))))))) (/.f64 (neg.f64 (PI.f64)) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))
Compiler

Compiled 1019 to 895 computations (12.2% saved)

eval7.0ms (0%)

Compiler

Compiled 272 to 222 computations (18.4% saved)

prune14.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
99.0%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
99.0%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
Compiler

Compiled 796 to 684 computations (14.1% saved)

localize5.8s (6.9%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
98.5%
(*.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))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 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)))
8.8%
(-.f64 (-.f64 1 z) 1)
98.5%
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
98.5%
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
98.5%
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
8.8%
(+.f64 (-.f64 1 z) -1)
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
98.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
Compiler

Compiled 2490 to 2064 computations (17.1% saved)

series24.0ms (0%)

Counts
16 → 144
Calls

36 calls:

TimeVariablePointExpression
5.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
4.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
4.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
2.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
1.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))

rewrite202.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
1011×log1p-expm1-u
1011×expm1-log1p-u
506×log-prod
498×fma-def
376×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115848
12442790
Stop Event
node limit
Counts
16 → 276
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(+.f64 (-.f64 1 z) -1)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
(-.f64 (-.f64 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)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))) (+.f64 z -15/2))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (neg.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log.f64 (*.f64 (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.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 6765203681218851/10000000000000 (-.f64 1 z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.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))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) 1)
(pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) 1)
(log.f64 (exp.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))
(exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))
(-.f64 1 (+.f64 z 1))
(-.f64 (-.f64 1 z) 1)
(-.f64 0 z)
(*.f64 1 (neg.f64 z))
(*.f64 -1 z)
(*.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (fma.f64 (-.f64 1 z) (-.f64 1 z) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (fma.f64 (-.f64 1 z) (-.f64 1 z) (+.f64 1 (*.f64 (-.f64 1 z) 1))))
(/.f64 (fma.f64 (-.f64 1 z) (-.f64 1 z) -1) (-.f64 2 z))
(pow.f64 (neg.f64 z) 1)
(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 (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z)))
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(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 9999999999998099/10000000000000000)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 9999999999998099/10000000000000000)
(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 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.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))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(-.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)
(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 (*.f64 (*.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 (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 (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)))))))
(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))))))
(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)))))))

simplify261.0ms (0.3%)

Algorithm
egg-herbie
Rules
1172×associate-*r*
1158×associate-*l*
1074×fma-def
722×distribute-rgt-in
712×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077924928
1217922244
Stop Event
node limit
Counts
420 → 362
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.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))) (sin.f64 (*.f64 z (PI.f64))))))
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(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.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))) (sin.f64 (*.f64 z (PI.f64))))))
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(*.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (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 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.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))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (exp.f64 (/.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))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(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))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.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 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 9999999999998099/10000000000000000)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 9999999999998099/10000000000000000)
(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 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.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))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(-.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)
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(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 (*.f64 (*.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 (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 (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)))))))
(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))))))
(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)))))))
Outputs
(*.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 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2))))) (PI.f64)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000)))) (PI.f64)))))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (/.f64 (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
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(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.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))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.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))))
(+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 9999999999998099/10000000000000000)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 9999999999998099/10000000000000000)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(-.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 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 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 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(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)))
(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 (*.f64 (*.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(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)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(-.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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(cbrt.f64 (*.f64 (*.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 (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 (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 (*.f64 (*.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 (*.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 (neg.f64 (-.f64 15/2 z)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 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)))))))
(*.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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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 (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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(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 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))

eval1.3s (1.5%)

Compiler

Compiled 49122 to 40321 computations (17.9% saved)

prune419.0ms (0.5%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New43228460
Fresh000
Picked404
Done000
Total43628464
Accuracy
100.0%
Counts
464 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
96.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.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)))))
97.8%
(*.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 z 904338909853211/2500000000000) 479507597606835099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (+.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)))))
97.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64)))) (+.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)))))
98.2%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2) (log.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z))))))))
99.4%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))))))
99.0%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
98.5%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
97.1%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 646366562873259793/3000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
98.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 -883075145810703/5000000000000 (-.f64 3 z))) (*.f64 (-.f64 3 z) (-.f64 4 z)))) (+.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 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)))))
98.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.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)))))
95.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
97.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
94.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
99.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
97.6%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
96.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
37.1%
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 3))
97.2%
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
96.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.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)))))
97.8%
(*.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 z 904338909853211/2500000000000) 479507597606835099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (+.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)))))
97.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64)))) (+.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)))))
98.2%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2) (log.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z))))))))
99.4%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))))))
99.0%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
98.5%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
97.1%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 646366562873259793/3000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
98.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 -883075145810703/5000000000000 (-.f64 3 z))) (*.f64 (-.f64 3 z) (-.f64 4 z)))) (+.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 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)))))
98.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.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)))))
95.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
97.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
94.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
99.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
97.6%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
96.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
37.1%
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 3))
Compiler

Compiled 9504 to 8072 computations (15.1% saved)

localize6.0s (7.1%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (PI.f64))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
98.2%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
8.8%
(-.f64 1 (+.f64 z 1))
8.8%
(+.f64 (-.f64 1 z) -1)
98.5%
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
98.4%
(sqrt.f64 (*.f64 2 (PI.f64)))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
98.1%
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
99.5%
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))
99.2%
(/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
99.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
98.4%
(sqrt.f64 (PI.f64))
98.5%
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))
98.5%
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
Compiler

Compiled 2483 to 1985 computations (20.1% saved)

series25.0ms (0%)

Counts
13 → 120
Calls

30 calls:

TimeVariablePointExpression
7.0ms
z
@-inf
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
3.0ms
z
@0
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))
3.0ms
z
@0
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
2.0ms
z
@inf
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))
2.0ms
z
@inf
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))

rewrite125.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
961×log1p-expm1-u
961×expm1-log1p-u
528×log-prod
444×fma-def
420×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0116853
12401843
Stop Event
node limit
Counts
13 → 169
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))
(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 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(-.f64 1 (+.f64 z 1))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(sqrt.f64 (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1)
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z))))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(log.f64 (*.f64 (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
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(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
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(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(+.f64 1 (neg.f64 (+.f64 1 z)))
(+.f64 (-.f64 1 z) -1)
(*.f64 1 (neg.f64 z))
(*.f64 -1 z)
(*.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 z) 3)) (+.f64 1 (fma.f64 (+.f64 1 z) (+.f64 1 z) (+.f64 1 z))))
(/.f64 (-.f64 1 (*.f64 (+.f64 1 z) (+.f64 1 z))) (+.f64 1 (+.f64 1 z)))
(pow.f64 (neg.f64 z) 1)
(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 (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z)))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z))) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1)
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
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(/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z))))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(log.f64 (*.f64 (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) 1)
(pow.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))

simplify181.0ms (0.2%)

Algorithm
egg-herbie
Rules
1674×associate-*r*
1462×associate-*l*
1112×fma-def
688×distribute-lft-in
670×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070423406
1213821236
Stop Event
node limit
Counts
289 → 280
Calls
Call 1
Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))))
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(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z))))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(log.f64 (*.f64 (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) 1)
(pow.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 469507597606837/10000000000000 (fma.f64 904338909853211/2500000000000 z (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(+.f64 469507597606837/10000000000000 (fma.f64 904338909853211/2500000000000 z (fma.f64 2076511864126339/4000000000000 (pow.f64 z 2) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (pow.f64 z 2)))
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(+.f64 (/.f64 3683516130645841/2000000000000 (pow.f64 z 2)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
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(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
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(*.f64 15/2 (*.f64 (pow.f64 (exp.f64 -15/2) 3) (sqrt.f64 15/2)))
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(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(sqrt.f64 (PI.f64))
(*.f64 1 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) 1/2)
(sqrt.f64 (PI.f64))
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (PI.f64))
(cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))

eval1.1s (1.3%)

Compiler

Compiled 64147 to 51504 computations (19.7% saved)

prune232.0ms (0.3%)

Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New63525660
Fresh121123
Picked505
Done000
Total65236688
Accuracy
100.0%
Counts
688 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
97.8%
(*.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 z 904338909853211/2500000000000) 479507597606835099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (+.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)))))
99.0%
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
98.5%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
97.1%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 646366562873259793/3000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
94.9%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
98.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (fma.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))))
99.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
98.8%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
98.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
96.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
95.4%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
97.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
96.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
97.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) z))
97.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
97.2%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
96.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
5.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
35.8%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z))) 3)))
45.1%
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
45.1%
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
35.0%
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)))) 3))
97.2%
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
97.8%
(*.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 z 904338909853211/2500000000000) 479507597606835099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (+.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)))))
99.0%
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
98.5%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
97.1%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 646366562873259793/3000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
94.9%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
98.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (fma.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))))
99.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
98.8%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
98.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
96.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
95.4%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
97.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
96.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
97.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) z))
97.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
97.2%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
96.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
5.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
35.8%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z))) 3)))
45.1%
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
45.1%
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
35.0%
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)))) 3))
Compiler

Compiled 7524 to 6400 computations (14.9% saved)

localize2.3s (2.7%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.2%
(sqrt.f64 (*.f64 (PI.f64) 2))
99.2%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
53.8%
(-.f64 1 (+.f64 z 1))
51.9%
(PI.f64)
99.2%
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
99.2%
(sqrt.f64 (*.f64 2 (PI.f64)))
98.4%
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
51.9%
(PI.f64)
99.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))
99.2%
(sqrt.f64 (PI.f64))
95.5%
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
51.9%
(PI.f64)
99.6%
(/.f64 (exp.f64 -15/2) z)
99.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
99.2%
(sqrt.f64 (PI.f64))
51.9%
(PI.f64)
99.2%
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
99.2%
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
99.2%
(sqrt.f64 (*.f64 2 (PI.f64)))
51.9%
(PI.f64)
Compiler

Compiled 1741 to 1368 computations (21.4% saved)

series16.0ms (0%)

Counts
12 → 72
Calls

21 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(/.f64 (exp.f64 -15/2) z)
2.0ms
z
@0
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
2.0ms
z
@-inf
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
1.0ms
z
@inf
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
1.0ms
z
@0
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))

rewrite110.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
820×log1p-expm1-u
820×expm1-log1p-u
466×unpow-prod-down
430×fma-def
426×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096642
11827632
Stop Event
node limit
Counts
12 → 173
Calls
Call 1
Inputs
(PI.f64)
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(PI.f64)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 -15/2) z)
(PI.f64)
(exp.f64 (log.f64 (*.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 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))
(PI.f64)
(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
(PI.f64)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) 1) (pow.f64 (cbrt.f64 (PI.f64)) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(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 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 1)
(pow.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(exp.f64 (+.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (*.f64 (+.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) 1) (pow.f64 (cbrt.f64 (PI.f64)) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(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 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2))))) 1)
(pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2))) 1)
(log.f64 (exp.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2))) 2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) 1)
(*.f64 1 (/.f64 (exp.f64 -15/2) z))
(*.f64 (exp.f64 -15/2) (/.f64 1 z))
(*.f64 (exp.f64 -15/2) (pow.f64 (/.f64 1 z) 1))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 -15/2) z)) (cbrt.f64 (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (/.f64 (exp.f64 -15/2) z)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 -15/2) z)) (cbrt.f64 (/.f64 (exp.f64 -15/2) z))) 1) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -15/2) z)) 1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (exp.f64 -15/2) z)) 1) (pow.f64 (sqrt.f64 (/.f64 (exp.f64 -15/2) z)) 1))
(pow.f64 (/.f64 (exp.f64 -15/2) z) 1)
(pow.f64 (/.f64 z (exp.f64 -15/2)) -1)
(log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -15/2) z))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 2) (/.f64 (exp.f64 -15/2) z)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z)))
(exp.f64 (log.f64 (/.f64 (exp.f64 -15/2) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 -15/2) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) 1) (pow.f64 (cbrt.f64 (PI.f64)) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(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 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2))))) 1)
(*.f64 1 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))) (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2))))) (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(*.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))) (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))
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(fma.f64 (*.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))

simplify165.0ms (0.2%)

Algorithm
egg-herbie
Rules
646×fma-def
644×associate-*r*
578×associate-*l*
534×associate-+r+
470×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050514293
1140114061
2582713995
Stop Event
node limit
Counts
245 → 196
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)))))))))))
(exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)))))))))))
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)))))))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)))))))))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) 1) (pow.f64 (cbrt.f64 (PI.f64)) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 1)
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 1))
(/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 1) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (+.f64 (-.f64 1 z) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 3)) (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 2) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(/.f64 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(log.f64 (*.f64 (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 2) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))
(*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000))))))
(fma.f64 z (fma.f64 (exp.f64 -15/2) (fma.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))))
(fma.f64 z (fma.f64 (exp.f64 -15/2) (fma.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2)) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 z (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (sqrt.f64 15/2))))) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))))))))
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(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

eval714.0ms (0.8%)

Compiler

Compiled 44996 to 35802 computations (20.4% saved)

prune209.0ms (0.2%)

Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New59421615
Fresh171431
Picked325
Done000
Total61437651
Accuracy
100.0%
Counts
651 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (+.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)))))
99.0%
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
98.5%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
96.7%
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)) 1106209385320415913103082059/4200000000000000000000000)
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 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))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 (*.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
98.4%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 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)))))
94.9%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
97.2%
(*.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
96.7%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
97.1%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))
97.3%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
96.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) z))
99.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
98.1%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
99.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
97.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
98.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
96.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
97.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
97.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) z))
97.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
96.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
97.2%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64))))))
96.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 z)) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
5.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
45.1%
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
45.1%
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (+.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)))))
99.0%
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
98.5%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
96.7%
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)) 1106209385320415913103082059/4200000000000000000000000)
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 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))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 (*.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
98.4%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 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)))))
94.9%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
97.2%
(*.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
96.7%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
97.1%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))
97.3%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
96.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) z))
99.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
98.1%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
99.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
97.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
98.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
96.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
97.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
97.5%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) z))
97.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
96.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
97.2%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64))))))
96.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
96.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 z)) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
5.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
45.1%
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
45.1%
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
Compiler

Compiled 6960 to 5918 computations (15% saved)

localize2.3s (2.7%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
98.5%
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
8.8%
(-.f64 1 (+.f64 z 1))
99.2%
(/.f64 (exp.f64 -15/2) z)
99.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
98.4%
(sqrt.f64 (PI.f64))
98.4%
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
99.3%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
98.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
98.4%
(sqrt.f64 (*.f64 2 (PI.f64)))
99.6%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
99.2%
(/.f64 (exp.f64 -15/2) z)
99.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
98.4%
(*.f64 15 (PI.f64))
98.5%
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
98.5%
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
98.4%
(sqrt.f64 (*.f64 2 (PI.f64)))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 1208 to 951 computations (21.3% saved)

series4.0ms (0%)

Counts
9 → 48
Calls

18 calls:

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

rewrite77.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
327×log1p-expm1-u
326×expm1-log1p-u
322×add-cube-cbrt
319×add-exp-log
318×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047269
1746269
Stop Event
node limit
Counts
9 → 150
Calls
Call 1
Inputs
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 15 (PI.f64))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) 1)
(-.f64 (/.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (/.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (neg.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3))) (neg.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))))
(/.f64 (neg.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2))) (neg.f64 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 3)
(pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2))
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
(cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 3))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(fma.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 9999999999998099/10000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 9999999999998099/10000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 9999999999998099/10000000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 15 (PI.f64)))) 1)
(pow.f64 (*.f64 15 (PI.f64)) 1)
(pow.f64 (sqrt.f64 (*.f64 15 (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 15 (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 15 (PI.f64)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 15 (PI.f64)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 15 (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 15))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 15 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 15 (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 15 (PI.f64)) 3/2) (pow.f64 (*.f64 15 (PI.f64)) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 15 (PI.f64))))
(exp.f64 (log.f64 (*.f64 15 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 15 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 15 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) 1)
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)
(/.f64 (neg.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (neg.f64 z))
(pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 1)
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3)
(pow.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 2)
(sqrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 2))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))))) 1)
(pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 3)
(pow.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))))))
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3) (pow.f64 (*.f64 15 (PI.f64)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 15 (PI.f64)) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
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simplify114.0ms (0.1%)

Algorithm
egg-herbie
Rules
1210×associate-*r/
740×fma-def
596×times-frac
594×log-prod
492×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03637430
18417306
231517188
Stop Event
node limit
Counts
198 → 184
Calls
Call 1
Inputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (*.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 943522900885677/5000000000000 (/.f64 1 z)) (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 943522900885677/5000000000000 (/.f64 1 z)) (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))))
(-.f64 (+.f64 1 (sqrt.f64 (PI.f64))) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))))) 1)
(pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 3)
(pow.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))))))
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3) (pow.f64 (*.f64 15 (PI.f64)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 15 (PI.f64)) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
Outputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (*.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (pow.f64 z 2) 9151757080597036297/30000000000000000))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (*.f64 40269435042492127/90000000000000 z) (+.f64 (*.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (pow.f64 z 2) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1967803238479727281/3240000000000000 z) 295755570232608827/540000000000000)))
9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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eval616.0ms (0.7%)

Compiler

Compiled 40407 to 31950 computations (20.9% saved)

prune252.0ms (0.3%)

Pruning

48 alts after pruning (43 fresh and 5 done)

PrunedKeptTotal
New62527652
Fresh141630
Picked235
Done022
Total64148689
Accuracy
100.0%
Counts
689 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) 3)
96.1%
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 3)
96.1%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3) (sqrt.f64 (*.f64 15 (PI.f64))))
96.5%
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 15 (PI.f64))))
96.3%
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (+.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)))))
98.5%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
97.2%
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2)))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 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))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 (*.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (/.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)))))
99.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.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 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)))))
98.4%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (+.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 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 15 (PI.f64))))
95.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
97.0%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64)))
97.3%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 15 (PI.f64))) 3)))
96.7%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
96.8%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 15 (PI.f64))))))
96.7%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))) (sqrt.f64 (*.f64 15 (PI.f64))))
96.1%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) 3))
97.3%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
96.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) z))
99.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
98.1%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (+.f64 z -15/2) (log.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
98.3%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
99.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
98.5%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
97.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
98.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
96.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
94.8%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3) z)))
87.4%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1) z)))
97.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
87.2%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)))
97.0%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
44.8%
(*.f64 (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (*.f64 15 (PI.f64))))
97.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
95.1%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 z)) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
96.7%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
5.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
45.1%
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
45.1%
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
Compiler

Compiled 7264 to 5906 computations (18.7% saved)

regimes218.0ms (0.3%)

Counts
105 → 1
Calls
Call 1
Inputs
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(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (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) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64)))
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(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
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(*.f64 (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 15 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
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(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 3)
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z))) 3)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
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(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (fma.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))))))
Calls

2 calls:

45.0ms
(*.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)))))
41.0ms
z
Results
AccuracySegmentsBranch
99.4%1z
99.4%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 5437 to 4346 computations (20.1% saved)

regimes171.0ms (0.2%)

Counts
102 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (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) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 z)) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(*.f64 (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 15 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 15 (PI.f64))) 3)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3) (sqrt.f64 (*.f64 15 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 3)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)))) 3))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z))) 3)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
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(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) 3)
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
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(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 -883075145810703/5000000000000 (-.f64 3 z))) (*.f64 (-.f64 3 z) (-.f64 4 z)))) (+.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 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64)))) (+.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 3))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 (*.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (/.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)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 (*.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.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)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Calls

2 calls:

43.0ms
(*.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)))))
41.0ms
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 5133 to 4088 computations (20.4% saved)

regimes60.0ms (0.1%)

Counts
62 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (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) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
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(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
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(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
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(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 15 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
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(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) 3))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) 3)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 646366562873259793/3000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

26.0ms
z
Results
AccuracySegmentsBranch
98.9%1z
Compiler

Compiled 1423 to 1126 computations (20.9% saved)

regimes54.0ms (0.1%)

Counts
60 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (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) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 z)) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
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(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(*.f64 (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 15 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
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(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 3)
(*.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z))) 3)))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 646366562873259793/3000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Calls

1 calls:

24.0ms
z
Results
AccuracySegmentsBranch
98.5%1z
Compiler

Compiled 1275 to 1014 computations (20.5% saved)

regimes46.0ms (0.1%)

Counts
56 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (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) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 z)) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(*.f64 (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 15 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 15 (PI.f64))) 3)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3) (sqrt.f64 (*.f64 15 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 3)
(*.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) z))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)))) 3))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z))) 3)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3) z)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) 3))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) 3)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Calls

1 calls:

24.0ms
z
Results
AccuracySegmentsBranch
98.3%1z
Compiler

Compiled 991 to 798 computations (19.5% saved)

regimes40.0ms (0%)

Counts
52 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (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) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 (/.f64 z (sqrt.f64 15)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 z)) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(*.f64 (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (*.f64 15 (PI.f64))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 15 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (*.f64 15 (PI.f64)) 1/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 15 (PI.f64))) 3)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3) (sqrt.f64 (*.f64 15 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 15 (PI.f64)))))) 3)
(*.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) z))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(exp.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)))) 3))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z))) 3)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3) z)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) 3))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))) 3)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) z))
Calls

1 calls:

22.0ms
z
Results
AccuracySegmentsBranch
97.5%1z
Compiler

Compiled 734 to 603 computations (17.8% saved)

regimes27.0ms (0%)

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

1 calls:

16.0ms
z
Results
AccuracySegmentsBranch
97.3%1z
Compiler

Compiled 446 to 366 computations (17.9% saved)

regimes9.0ms (0%)

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

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
97.0%1z
Compiler

Compiled 96 to 79 computations (17.7% saved)

regimes7.0ms (0%)

Accuracy

Total -1.1b remaining (-54.5%)

Threshold costs -1.1b (-54.5%)

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

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
96.7%1z
Compiler

Compiled 72 to 60 computations (16.7% saved)

simplify160.0ms (0.2%)

Algorithm
egg-herbie
Rules
834×distribute-lft-neg-in
688×unsub-neg
622×cancel-sign-sub
466×neg-mul-1
396×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01601622
12521610
22701610
32821610
43391610
54451610
65031610
75581610
86141610
96771610
107851610
119461610
1211491610
1313821610
1416591610
1519811610
1623111610
1726271610
1827731610
1928571610
2028951610
2129061610
2229061610
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
Outputs
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.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 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.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 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -13/2 (-.f64 1 z)))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -13/2 (-.f64 1 z)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -13/2 (-.f64 1 z))))))) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.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 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -1) -13/2))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -1) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 z -1) -13/2)))))) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 (PI.f64) 15))))
Compiler

Compiled 462 to 385 computations (16.7% saved)

soundness2.6s (3%)

Rules
1674×associate-*r*
1674×associate-*r*
1462×associate-*l*
1462×associate-*l*
1342×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051488
12871328
213131080
0115848
12442790
01051488
12871328
213131080
077924928
1217922244
0116853
12401843
096642
11827632
050514293
1140114061
2582713995
047269
1746269
03637430
18417306
231517188
0116853
12401843
070423406
1213821236
0115848
12442790
077924928
1217922244
096642
11827632
050514293
1140114061
2582713995
077924928
1217922244
077924928
1217922244
0116853
12401843
070423406
1213821236
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 1058 to 867 computations (18.1% saved)

end0.0ms (0%)

preprocess245.0ms (0.3%)

Compiler

Compiled 1156 to 930 computations (19.6% saved)

Profiling

Loading profile data...