Details

Time bar (total: 1.1min)

analyze579.0ms (0.9%)

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

Compiled 127 to 112 computations (11.8% saved)

sample51.2s (79%)

Results
47.4s3927×body8192exit
3.7s8256×body256valid
47.0ms104×body256infinite
36.0ms74×body256unsamplable
Bogosity

preprocess137.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
3882×rational.json-simplify-33
2644×rational.json-simplify-29
1224×rational.json-simplify-41
974×rational.json-simplify-27
868×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064311
1106273
2215269
3616253
41255241
52682241
63888237
74450229
84658229
94745229
104790229
114798229
124886229
134970229
144970229
154977229
164977229
174977229
184977229
197894229
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (-.f64 (neg.f64 (+.f64 (-.f64 0 z) 7)) 1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (neg.f64 (+.f64 z -5))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (neg.f64 (+.f64 z -5))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify134.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3882×rational.json-simplify-33
2644×rational.json-simplify-29
1224×rational.json-simplify-41
974×rational.json-simplify-27
868×rational.json-simplify-1
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
064311
1106273
2215269
3616253
41255241
52682241
63888237
74450229
84658229
94745229
104790229
114798229
124886229
134970229
144970229
154977229
164977229
174977229
184977229
197894229
Stop Event
1×node limit
Counts
1 → 10
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (-.f64 (neg.f64 (+.f64 (-.f64 0 z) 7)) 1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (neg.f64 (+.f64 z -5))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (neg.f64 (+.f64 z -5))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

eval11.0ms (0%)

Compiler

Compiled 852 to 645 computations (24.3% saved)

prune20.0ms (0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4610
Fresh011
Picked000
Done000
Total4711
Error
0.4b
Counts
11 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
▶1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
▶0.8b
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
Compiler

Compiled 1052 to 838 computations (20.3% saved)

localize158.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
✓1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
✓2.8b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
✓3.3b
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
Compiler

Compiled 520 to 348 computations (33.1% saved)

series4.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
0.0ms
z
@-inf
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms
z
@inf
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
0.0ms
z
@inf
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))

rewrite11.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
144×rational.json-simplify-1
126×bool.json-1
102×rational.json-1
102×rational.json-2
94×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034164
1157164
2254164
3342156
4443156
5471156
Stop Event
1×saturated
Counts
4 → 10
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))))))))

simplify165.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2780×rational.json-simplify-31
1218×rational.json-simplify-2
446×rational.json-simplify-1
266×rational.json-simplify-33
52×rational.json-simplify-27
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01552188
13032146
24592128
36492086
48292086
510372086
613402086
714672086
814682086
914692086
1014692086
1114692086
1220752086
1322212086
1424222086
1525232086
1625232086
1727312086
1828592086
1929112086
2029402086
2129422086
2229422086
2329692086
Stop Event
1×saturated
Counts
46 → 80
Calls
Call 1
Inputs
37970024701483599/10000000000000000
(+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000)
(+.f64 (*.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (*.f64 165237873984296417/320000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (+.f64 (*.f64 764331858712410001/1280000000000000 (pow.f64 z 3)) (*.f64 165237873984296417/320000000000000 (pow.f64 z 2)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (*.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 71858769653619757/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (*.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 71858769653619757/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2))))))
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 1 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) 1)
(+.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(+.f64 0 (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))))
Outputs
37970024701483599/10000000000000000
(+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000)
(+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z))
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(+.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (+.f64 (*.f64 165237873984296417/320000000000000 (pow.f64 z 2)) (*.f64 764331858712410001/1280000000000000 (pow.f64 z 3))))
(+.f64 (*.f64 28055769969492049/80000000000000 z) (+.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 165237873984296417/320000000000000 (pow.f64 z 2))) (*.f64 764331858712410001/1280000000000000 (pow.f64 z 3))))
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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479507597606835099/10000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
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(+.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))) (exp.f64 -15/2))) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2))))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 14/15 (*.f64 -1 (log.f64 15/2))))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2)))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2)))))))
(+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15)))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2)))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2))))))
(+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15)))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2))))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 -1/15 (*.f64 -1 (log.f64 15/2)))))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 2)))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 -1/15 (*.f64 -1 (log.f64 15/2)))) (*.f64 (exp.f64 -15/2) (*.f64 1/2 (sqrt.f64 15/2))))))) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 29/225) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 3)))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 1/6 (sqrt.f64 15/2))) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 -1/15 (*.f64 -1 (log.f64 15/2)))) 1/2)))))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15)))) (*.f64 (pow.f64 z 3) (+.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))) (exp.f64 -15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/6)) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) (*.f64 (sqrt.f64 15/2) 1/2))))) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 29/225) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 3)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))) (exp.f64 -15/2))) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2)))))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 14/15 (*.f64 -1 (log.f64 15/2))))) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2)))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2))))) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 29/225) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 3)))))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/6)) (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2))))))))))
(+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15)))) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2)))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2))))) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 29/225) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 3)))))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/6)) (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2)))))))))
(+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15)))) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2))))) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 29/225) 86/10125))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/6)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 1/2)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(*.f64 1 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)
(*.f64 1 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))
(+.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(+.f64 0 (sqrt.f64 (*.f64 2 (PI.f64))))
(+.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))))
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))

localize164.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 491 to 387 computations (21.2% saved)

series8.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite196.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
20628×rational.json-simplify-33
4338×rational.json-simplify-1
1624×bool.json-1
1618×rational.json-simplify-2
1564×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060269
1299269
2598269
31244269
42071269
52345269
62345269
72345269
82345269
92345269
104080269
115727269
125727269
136276269
146276269
157858269
167858269
177858269
187858269
197858269
Stop Event
1×node limit
Counts
3 → 6
Calls
Call 1
Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))))

simplify207.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2164×rational.json-simplify-41
2022×rational.json-simplify-2
1882×rational.json-simplify-27
1422×rational.json-simplify-1
1404×rational.json-simplify-40
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02495288
15494938
210484920
319994878
431074878
536864878
649184878
756484878
861574878
966284878
1075154878
1177894878
1277974878
1377994878
1478014878
Stop Event
1×node limit
Counts
42 → 127
Calls
Call 1
Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0)
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(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(+.f64 -11173853963059511/30000000000000 (*.f64 -5154349522119383/22500000000000 z))
(+.f64 (*.f64 -5154349522119383/22500000000000 z) -11173853963059511/30000000000000)
(-.f64 -11173853963059511/30000000000000 (*.f64 z 5154349522119383/22500000000000))
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(+.f64 -11173853963059511/30000000000000 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))))
(+.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) -11173853963059511/30000000000000) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))
(+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) -11173853963059511/30000000000000))
(-.f64 (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (-.f64 11173853963059511/30000000000000 (*.f64 -5154349522119383/22500000000000 z)))
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(+.f64 -11173853963059511/30000000000000 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)))))
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(/.f64 4878157879447497/10000000000000 z)
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(+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2))))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15)))) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 29/225) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 3)))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/6)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 1/2)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (-.f64 (neg.f64 (*.f64 z -1)) 15/2)) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 z -1))) (+.f64 1/2 (*.f64 z -1)))))
(*.f64 (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (-.f64 (neg.f64 (*.f64 z -1)) 15/2)) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 z -1))) (+.f64 1/2 (*.f64 z -1)))))
(*.f64 (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (-.f64 (neg.f64 (*.f64 z -1)) 15/2)) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 z -1))) (+.f64 1/2 (*.f64 z -1)))))
(*.f64 (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (-.f64 (neg.f64 (*.f64 z -1)) 15/2)) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 z -1))) (+.f64 1/2 (*.f64 z -1)))))
(*.f64 (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (exp.f64 (+.f64 z -15/2)))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))

localize147.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 448 to 343 computations (23.4% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
0.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
0.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
0.0ms
z
@inf
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
0.0ms
z
@0
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))

rewrite16.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
186×rational.json-simplify-1
184×bool.json-1
160×rational.json-simplify-2
150×rational.json-simplify-27
138×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041127
1196127
2351127
3516127
4678127
5770127
6783127
Stop Event
1×saturated
Counts
3 → 6
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 z))))))))

simplify161.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1692×rational.json-simplify-27
1340×rational.json-simplify-41
1176×rational.json-simplify-2
1080×rational.json-simplify-1
916×rational.json-simplify-31
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01511922
12991922
25551922
39591874
416181796
525561796
637491796
742601796
845391796
947571796
1050131796
1152711796
1256661796
1358081796
1458441796
1558441796
1658441796
1758441796
1858441796
1959061796
2059251796
Stop Event
1×saturated
Counts
42 → 98
Calls
Call 1
Inputs
10409174657078461523082059/4200000000000000000000000
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1)
(*.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 z))))
Outputs
10409174657078461523082059/4200000000000000000000000
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)
(+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 350291408665333106351952839/705600000000000000000000000 z))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 10409174657078461523082059/4200000000000000000000000 (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))) (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3))))
(+.f64 10409174657078461523082059/4200000000000000000000000 (+.f64 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)))))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(-.f64 (neg.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 (/.f64 1 z) -309219557958850910362579/25000000000000000000000))
(+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 -309219557958850910362579/25000000000000000000000 (/.f64 1 z)))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(-.f64 (neg.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (-.f64 (neg.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))
(+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (-.f64 (*.f64 (/.f64 1 z) -309219557958850910362579/25000000000000000000000) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) -1923097008798534553716389/6250000000000000000000) (-.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000)))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
(-.f64 (neg.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (+.f64 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(-.f64 (-.f64 (neg.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4)))))
(-.f64 (-.f64 (-.f64 (neg.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))) (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4)))) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (-.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))) (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4)))) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))
(+.f64 (*.f64 (/.f64 1 z) -309219557958850910362579/25000000000000000000000) (-.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4)))) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 -309219557958850910362579/25000000000000000000000 (/.f64 1 z))) (+.f64 (*.f64 (/.f64 1 (pow.f64 z 4)) -9584312843660180496487187/6250000000000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) -1923097008798534553716389/6250000000000000000000)))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(-.f64 (neg.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 (/.f64 1 z) -309219557958850910362579/25000000000000000000000))
(+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 -309219557958850910362579/25000000000000000000000 (/.f64 1 z)))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(-.f64 (neg.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (-.f64 (neg.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))
(+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000) (-.f64 (*.f64 (/.f64 1 z) -309219557958850910362579/25000000000000000000000) (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) -1923097008798534553716389/6250000000000000000000) (-.f64 (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 (/.f64 1 (pow.f64 z 2)) -385658505730833990852833/6250000000000000000000)))
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(+.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (*.f64 (pow.f64 z 2) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 1 (*.f64 (pow.f64 z 3) 1/6)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (*.f64 (pow.f64 z 2) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (+.f64 1 (*.f64 (pow.f64 z 3) 1/6))))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1)
(*.f64 1 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(*.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(*.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(*.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(*.f64 1 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(*.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 -15/2 z))))
(+.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 0)

localize159.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 498 to 358 computations (28.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite108.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
13266×rational.json-simplify-33
2730×rational.json-simplify-1
1162×bool.json-1
1140×rational.json-simplify-2
1114×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061341
1290341
2507341
3893341
41343341
51481341
61481341
71481341
82590341
93787341
104186341
114186341
125227341
135227341
145227341
155227341
Stop Event
1×node limit
Counts
3 → 6
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))))))))

simplify195.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1914×rational.json-simplify-27
1874×rational.json-simplify-2
1820×rational.json-simplify-1
1780×rational.json-simplify-41
1268×rational.json-simplify-40
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02555132
15655090
210275072
319515006
428775006
532495006
639025006
748745006
854945006
959115006
1069945006
1174405006
1276855006
1379525006
Stop Event
1×node limit
Counts
42 → 147
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
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Outputs
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
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(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))))))))) 0)
(*.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))
(*.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(*.f64 1 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(*.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(*.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(*.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 1)
(*.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(*.f64 1 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(*.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(*.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(*.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(+.f64 0 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z))))
(+.f64 0 (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(+.f64 0 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))

localize177.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
2.8b
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
✓3.3b
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
Compiler

Compiled 606 to 423 computations (30.2% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite130.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
16710×rational.json-simplify-33
3562×rational.json-simplify-1
1212×bool.json-1
1174×rational.json-1
1174×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046236
1213236
2354236
3693236
41194236
51358236
61358236
71358236
82840236
94154236
104592236
114592236
124592236
134592236
145945236
155945236
165945236
175945236
Stop Event
1×node limit
Counts
2 → 4
Calls
Call 1
Inputs
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))))))

simplify137.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
20508×rational.json-simplify-33
3600×rational.json-simplify-1
278×rational.json-simplify-27
254×rational.json-simplify-29
244×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051204
11951204
23581204
38221204
412511204
515681204
619351204
720911204
821411204
921781204
1021881204
1121881204
1240301204
1340301204
1440301204
1552551204
1652551204
1752551204
1852551204
Stop Event
1×node limit
Counts
28 → 64
Calls
Call 1
Inputs
37970024701483599/10000000000000000
(+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000)
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Outputs
37970024701483599/10000000000000000
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eval683.0ms (1.1%)

Compiler

Compiled 47900 to 36282 computations (24.3% saved)

prune146.0ms (0.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New54019559
Fresh101
Picked101
Done314
Total54520565
Error
0.1b
Counts
565 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
1.6b
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✓0.8b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
2.0b
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0.9b
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1.2b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 10409174657078461523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
1.3b
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1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) 0))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) 0))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0))
▶0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 37970024701483599/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
▶1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
▶1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
1.8b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶1.8b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))))
0.8b
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (*.f64 165237873984296417/320000000000000 (pow.f64 z 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
▶1.0b
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
1.4b
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) 37970024701483599/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
Compiler

Compiled 2621 to 2043 computations (22.1% saved)

localize132.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
✓1.0b
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
✓1.0b
(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 428 to 290 computations (32.2% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
0.0ms
z
@0
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
0.0ms
z
@-inf
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
0.0ms
z
@inf
(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))
0.0ms
z
@0
(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))

rewrite106.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
4086×rational.json-simplify-33
2542×rational.json-simplify-1
1028×bool.json-1
996×rational.json-1
996×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034175
1158175
2257175
3451175
41045175
51637175
61796175
71803175
81815175
91823175
101823175
111823175
122710175
133346175
143558175
153558175
164150175
174150175
184150175
195263175
205601175
215601175
Stop Event
1×saturated
Counts
3 → 8
Calls
Call 1
Inputs
(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)))))))

simplify193.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4034×rational.json-simplify-33
2390×rational.json-simplify-1
864×rational.json-simplify-27
698×rational.json-simplify-41
662×rational.json-simplify-29
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161542
12161542
23971542
37951518
417001518
528251518
639341518
741831518
842981518
943521518
1052901518
1157781518
1257781518
1357881518
1457881518
1557881518
1668391518
1768391518
1869141518
1969141518
2069301518
Stop Event
1×saturated
Counts
44 → 89
Calls
Call 1
Inputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
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(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
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(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 3398203381198824980448044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))
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(*.f64 28055769969492049/80000000000000 z)
(+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z))
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (*.f64 19592305277400178410362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (+.f64 (*.f64 14847972795311829615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 19592305277400178410362579/25000000000000000000000 (/.f64 1 z))))
(*.f64 28055769969492049/80000000000000 z)
(+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z))
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (*.f64 19592305277400178410362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (+.f64 (*.f64 14847972795311829615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 19592305277400178410362579/25000000000000000000000 (/.f64 1 z))))
7827144361880981797/30000000000000000
(+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z))
(+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 7827144361880981797/30000000000000000 (+.f64 (*.f64 314207804027640689/720000000000000 z) (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
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(*.f64 28055769969492049/80000000000000 z)
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(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
(+.f64 0 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) 1)
(*.f64 1 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))
(*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) 1)
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)))
Outputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z))
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(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z)) (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))
(/.f64 -7713234287776531/10000000000000 z)
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(/.f64 -7713234287776531/10000000000000 z)
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1106209385320415913103082059/4200000000000000000000000
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(*.f64 28055769969492049/80000000000000 z)
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(*.f64 1 (+.f64 37970024701483599/10000000000000000 (+.f64 (*.f64 z 28055769969492049/80000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))
(*.f64 1 (+.f64 (*.f64 z 28055769969492049/80000000000000) (+.f64 37970024701483599/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (PI.f64) z)
✓0.3b
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 132 to 79 computations (40.2% saved)

series8.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
2.0ms
z
@0
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.0ms
z
@-inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.0ms
z
@0
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
0.0ms
z
@-inf
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite25.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
308×rational.json-simplify-2
294×rational.json-simplify-31
174×bool.json-1
156×rational.json-1
156×rational.json-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025127
1122127
2216127
3322119
4452119
5573119
6665119
7677119
8681119
9681119
10687119
11701119
12716119
13721119
14735119
15741119
Stop Event
1×saturated
Counts
3 → 8
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (PI.f64) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 z (PI.f64)) (*.f64 z (PI.f64)))))))

simplify825.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
10324×rational.json-simplify-31
3328×rational.json-simplify-2
1160×rational.json-simplify-27
844×rational.json-simplify-1
752×rational.json-simplify-41
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01642932
13572876
25892852
39272852
414412852
517272852
617722852
718192852
818602852
919122852
1019672852
1120412852
1221022852
1321702852
1422332852
1523022852
1623782852
1724492852
1825262852
1926102852
2040522852
2140702852
2240872852
2341002852
2441182852
2541352852
2641482852
2741662852
2841832852
2941962852
3042142852
3150402852
3250612852
3350842852
3451042852
3551202852
3651382852
3751582852
3851742852
3951922852
4052122852
4152282852
4252462852
4352662852
4452822852
4553002852
4653202852
4753362852
4853542852
4953742852
5053902852
5154082852
5254282852
5354442852
5454622852
5554822852
5654982852
5755162852
5855362852
5955522852
6055702852
6155902852
6256062852
6356242852
6456442852
6556602852
6656782852
6756982852
6857142852
6957322852
7057522852
7157682852
7257862852
7358062852
7458222852
7558402852
7658602852
7758762852
7858942852
7959142852
8059302852
Stop Event
1×node limit
Counts
44 → 70
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (sqrt.f64 2)) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 1 z)
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))))) 0)
(+.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))))))
(+.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 0)
(+.f64 0 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (*.f64 z (PI.f64)) 0)
(+.f64 0 (*.f64 z (PI.f64)))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 -1/15 (*.f64 -1 (log.f64 15/2)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))
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(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 1 z)
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(+.f64 (/.f64 1 z) (*.f64 z (*.f64 1/6 (pow.f64 (PI.f64) 2))))
(+.f64 (/.f64 1 z) (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))))
(+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6)))
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(+.f64 (*.f64 z (*.f64 1/6 (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)) (pow.f64 z 3)))))
(+.f64 (/.f64 1 z) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)) (pow.f64 z 3)))))
(+.f64 (/.f64 1 z) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)) (pow.f64 z 3)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(+.f64 (+.f64 (*.f64 (pow.f64 z 5) (*.f64 -1 (+.f64 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)) (*.f64 1/6 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (PI.f64) 6) 1/720))))) (*.f64 z (*.f64 1/6 (pow.f64 (PI.f64) 2)))) (+.f64 (/.f64 1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)) (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)) (pow.f64 z 3)))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (PI.f64) 6) 1/720)))))))
(+.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)) (pow.f64 z 3))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (PI.f64) 6) 1/720))) (*.f64 -1 (pow.f64 z 5)))))
(+.f64 (+.f64 (/.f64 1 z) (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)) (pow.f64 z 3))) (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 4) -1/36)))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (PI.f64) 6) 1/720)))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))))) 0)
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))))))
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 0)
(+.f64 0 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 0)
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (*.f64 z (PI.f64)) 0)
(+.f64 0 (*.f64 z (PI.f64)))
(+.f64 (*.f64 z (PI.f64)) 0)

localize119.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))
1.0b
(*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))
✓1.0b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 355 to 252 computations (29% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)))
1.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)))
1.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)))

rewrite117.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
3756×rational.json-simplify-33
2444×rational.json-simplify-1
1006×bool.json-1
970×rational.json-1
970×rational.json-2
Iterations

Useful iterations: 12 (0.0ms)

IterNodesCost
046165
1219165
2373165
3644165
41412165
52154165
62258165
72271165
82276165
92276165
102376165
112376165
122376159
133352159
144331159
154393159
164393159
174455159
184455159
195187159
205342159
215342159
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) 14609174657077663103082059/4200000000000000000000000)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) 14609174657077663103082059/4200000000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) 14609174657077663103082059/4200000000000000000000000)))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) 14609174657077663103082059/4200000000000000000000000)))))))))))

simplify456.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
7516×rational.json-simplify-31
4034×rational.json-simplify-2
1108×rational.json-simplify-1
1080×rational.json-simplify-33
400×rational.json-simplify-27
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01803152
14153152
27393152
313593152
419493152
520953152
621123152
721323152
821473152
929443152
1035923152
1136393152
1236573152
1336783152
1436953152
1537123152
1637323152
1737473152
1837643152
1937843152
2037993152
2138173152
2238383152
2338563152
2438733152
2539093152
2639273152
2739453152
2839663152
2939833152
3040013152
3140223152
3240393152
3340573152
3440783152
3540953152
3641133152
3741343152
3841513152
3941693152
4049773152
4157623152
4261613152
4361613152
4476113152
Stop Event
1×node limit
Counts
14 → 103
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
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(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 4708246094784852251/8640000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 4708246094784852251/8640000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 62898174544540606049/103680000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2))))) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 4708246094784852251/8640000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))))) (sqrt.f64 (PI.f64))))))
(*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 -30223877537487/2500000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 -30223877537487/2500000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 585619739096309/2500000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64)))))))
(*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 -30223877537487/2500000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 -30223877537487/2500000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 585619739096309/2500000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) (*.f64 14609174657077663103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) 14609174657077663103082059/4200000000000000000000000)))))) 0)
(+.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) 14609174657077663103082059/4200000000000000000000000)))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
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(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (exp.f64 (+.f64 -15/2 z))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))))) 0)
(+.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)))))))) 0)
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) 0)
(+.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) 14609174657077663103082059/4200000000000000000000000)))))))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (exp.f64 (+.f64 -15/2 z))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))))) 0)
(+.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)))))))) 0)
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) 0)

localize118.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000))
1.0b
(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))
1.0b
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 374 to 239 computations (36.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000))
0.0ms
z
@inf
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000))
0.0ms
z
@-inf
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000))

rewrite8.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
52×bool.json-1
48×rational.json-simplify-2
46×rational.json-simplify-1
36×rational.json-1
36×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
16835
211235
313335
414735
515035
615535
716235
817335
918035
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)))))))

simplify30.0ms (0%)

Algorithm
1×egg-herbie
Rules
288×rational.json-simplify-27
250×rational.json-simplify-1
216×rational.json-simplify-29
204×rational.json-simplify-41
200×rational.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043388
180388
2138388
3247388
4461388
5757388
61124388
71287388
81327388
91362388
101370388
Stop Event
1×saturated
Counts
14 → 24
Calls
Call 1
Inputs
62984711258857409/10000000000000000
(+.f64 62984711258857409/10000000000000000 (*.f64 3511974183497980887/10000000000000000 z))
(+.f64 62984711258857409/10000000000000000 (+.f64 (*.f64 2501468655737381/25000000000000000 (pow.f64 z 2)) (*.f64 3511974183497980887/10000000000000000 z)))
(+.f64 62984711258857409/10000000000000000 (+.f64 (*.f64 2501468655737381/125000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 2501468655737381/25000000000000000 (pow.f64 z 2)) (*.f64 3511974183497980887/10000000000000000 z))))
(*.f64 28055769969492049/80000000000000 z)
(+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z))
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (*.f64 2501468655737381/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (+.f64 (*.f64 2501468655737381/200000000000000 (/.f64 1 z)) (*.f64 2501468655737381/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(*.f64 28055769969492049/80000000000000 z)
(+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z))
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (*.f64 2501468655737381/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (+.f64 (*.f64 2501468655737381/200000000000000 (/.f64 1 z)) (*.f64 2501468655737381/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) 1)
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)))
Outputs
62984711258857409/10000000000000000
(+.f64 62984711258857409/10000000000000000 (*.f64 3511974183497980887/10000000000000000 z))
(+.f64 62984711258857409/10000000000000000 (+.f64 (*.f64 2501468655737381/25000000000000000 (pow.f64 z 2)) (*.f64 3511974183497980887/10000000000000000 z)))
(+.f64 62984711258857409/10000000000000000 (+.f64 (*.f64 3511974183497980887/10000000000000000 z) (*.f64 2501468655737381/25000000000000000 (pow.f64 z 2))))
(+.f64 62984711258857409/10000000000000000 (+.f64 (*.f64 2501468655737381/125000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 2501468655737381/25000000000000000 (pow.f64 z 2)) (*.f64 3511974183497980887/10000000000000000 z))))
(+.f64 62984711258857409/10000000000000000 (+.f64 (+.f64 (*.f64 2501468655737381/125000000000000000 (pow.f64 z 3)) (*.f64 2501468655737381/25000000000000000 (pow.f64 z 2))) (*.f64 3511974183497980887/10000000000000000 z)))
(+.f64 (+.f64 (*.f64 3511974183497980887/10000000000000000 z) (*.f64 2501468655737381/25000000000000000 (pow.f64 z 2))) (+.f64 62984711258857409/10000000000000000 (*.f64 2501468655737381/125000000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 62984711258857409/10000000000000000 (*.f64 3511974183497980887/10000000000000000 z)) (+.f64 (*.f64 2501468655737381/25000000000000000 (pow.f64 z 2)) (*.f64 2501468655737381/125000000000000000 (pow.f64 z 3))))
(+.f64 62984711258857409/10000000000000000 (+.f64 (+.f64 (*.f64 3511974183497980887/10000000000000000 z) (*.f64 2501468655737381/25000000000000000 (pow.f64 z 2))) (*.f64 2501468655737381/125000000000000000 (pow.f64 z 3))))
(*.f64 28055769969492049/80000000000000 z)
(*.f64 z 28055769969492049/80000000000000)
(+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z))
(+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (*.f64 2501468655737381/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000) (*.f64 2501468655737381/200000000000000 (/.f64 1 z)))
(+.f64 (*.f64 z 28055769969492049/80000000000000) (+.f64 37970024701483599/10000000000000000 (*.f64 (/.f64 1 z) -2501468655737381/200000000000000)))
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (+.f64 (*.f64 2501468655737381/200000000000000 (/.f64 1 z)) (*.f64 2501468655737381/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000) (+.f64 (*.f64 2501468655737381/200000000000000 (/.f64 1 z)) (*.f64 2501468655737381/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (*.f64 z 28055769969492049/80000000000000) (-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 (/.f64 1 z) -2501468655737381/200000000000000)) (*.f64 2501468655737381/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (*.f64 z 28055769969492049/80000000000000) (+.f64 (*.f64 (/.f64 1 z) -2501468655737381/200000000000000) (+.f64 37970024701483599/10000000000000000 (*.f64 (/.f64 1 (pow.f64 z 2)) -2501468655737381/40000000000000))))
(*.f64 28055769969492049/80000000000000 z)
(*.f64 z 28055769969492049/80000000000000)
(+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z))
(+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (*.f64 2501468655737381/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000) (*.f64 2501468655737381/200000000000000 (/.f64 1 z)))
(+.f64 (*.f64 z 28055769969492049/80000000000000) (+.f64 37970024701483599/10000000000000000 (*.f64 (/.f64 1 z) -2501468655737381/200000000000000)))
(-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z)) (+.f64 (*.f64 2501468655737381/200000000000000 (/.f64 1 z)) (*.f64 2501468655737381/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000) (+.f64 (*.f64 2501468655737381/200000000000000 (/.f64 1 z)) (*.f64 2501468655737381/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (*.f64 z 28055769969492049/80000000000000) (-.f64 (+.f64 37970024701483599/10000000000000000 (*.f64 (/.f64 1 z) -2501468655737381/200000000000000)) (*.f64 2501468655737381/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (*.f64 z 28055769969492049/80000000000000) (+.f64 (*.f64 (/.f64 1 z) -2501468655737381/200000000000000) (+.f64 37970024701483599/10000000000000000 (*.f64 (/.f64 1 (pow.f64 z 2)) -2501468655737381/40000000000000))))
(*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)) 1)
(*.f64 1 (+.f64 (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(*.f64 1 (+.f64 37970024701483599/10000000000000000 (+.f64 (*.f64 z 28055769969492049/80000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000)))
(*.f64 1 (+.f64 (+.f64 (*.f64 z 28055769969492049/80000000000000) 37970024701483599/10000000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(*.f64 1 (+.f64 37970024701483599/10000000000000000 (+.f64 (*.f64 z 28055769969492049/80000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))

localize157.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 491 to 357 computations (27.3% saved)

series2.0ms (0%)

Counts
2 → 20
Calls

6 calls:

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

rewrite105.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
12814×rational.json-simplify-33
2716×rational.json-simplify-1
1160×bool.json-1
1144×rational.json-simplify-2
1110×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060258
1290258
2520258
3921258
41367258
51487258
61487258
71487258
82502258
93699258
104098258
114098258
125109258
135109258
145109258
155109258
Stop Event
1×node limit
Counts
2 → 4
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))))

simplify331.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
3744×rational.json-simplify-31
3492×rational.json-simplify-1
2684×rational.json-simplify-33
2452×rational.json-simplify-2
310×rational.json-simplify-27
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02134332
14744290
28424272
315414230
422334230
522554230
622804230
723104230
823314230
923564230
1028594230
1130734230
1231004230
1331314230
1431544230
1531794230
1632114230
1732374230
1832634230
1949664230
2049924230
2155934230
2257654230
2357654230
2469564230
2569564230
2669584230
2769584230
2869584230
2979344230
Stop Event
1×node limit
Counts
24 → 112
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))
(*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))))))) z))))
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(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))))) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) z))))
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(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 0)

eval673.0ms (1%)

Compiler

Compiled 46209 to 35310 computations (23.6% saved)

prune157.0ms (0.2%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New56016576
Fresh7714
Picked011
Done415
Total57125596
Error
0.0b
Counts
596 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
1.8b
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
1.6b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 z 1)))))
✓0.8b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
0.9b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
1.2b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 10409174657078461523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶1.3b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 12777243138120953/60000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
1.3b
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3))))
1.3b
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
▶0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 0))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (exp.f64 (+.f64 -15/2 z))))) 0))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))))) 0))
▶0.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 0))
0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) 7827144361880981797/30000000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
▶1.2b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (*.f64 1 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (*.f64 z 28055769969492049/80000000000000) (+.f64 37970024701483599/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
✓1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
▶1.7b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
0.8b
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (*.f64 165237873984296417/320000000000000 (pow.f64 z 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
1.0b
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 62984711258857409/10000000000000000 (*.f64 3511974183497980887/10000000000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
1.4b
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 62984711258857409/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
1.2b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
1.3b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
Compiler

Compiled 2535 to 1979 computations (21.9% saved)

localize213.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 705 to 519 computations (26.4% saved)

series4.0ms (0%)

Counts
4 → 36
Calls

9 calls:

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

rewrite96.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
5410×rational.json-simplify-1
4088×rational.json-simplify-33
1864×bool.json-1
1820×rational.json-1
1820×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055338
1265338
2484338
31115338
41993338
52157338
62157338
72295338
82295338
92295338
104803338
116792338
126792338
137455338
147455338
Stop Event
1×node limit
Counts
4 → 10
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (PI.f64)))
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 9999999999998099/10000000000000000))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 9999999999998099/10000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 9999999999998099/10000000000000000))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 9999999999998099/10000000000000000))))))))))

simplify183.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
3272×rational.json-simplify-33
1626×rational.json-simplify-27
1566×rational.json-simplify-1
1508×rational.json-simplify-41
1280×rational.json-simplify-2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02043418
14183418
27923418
315343394
422703316
527823316
634673316
744503316
850423316
955163316
1060603316
1164153316
1265493316
1366523316
1466943316
1567173316
1667173316
Stop Event
1×node limit
Counts
46 → 135
Calls
Call 1
Inputs
904913194092231175607082059/4200000000000000000000000
(+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000)
(+.f64 (*.f64 3071153072001789988329900520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000))
(+.f64 (*.f64 3071153072001789988329900520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (+.f64 (*.f64 176298653536977737887855582369999/19914854400000000000000000000000 (pow.f64 z 3)) 904913194092231175607082059/4200000000000000000000000)))
(/.f64 -15180393825728306413362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 10437793482330779120352833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 15180393825728306413362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 10437793482330779120352833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 27679715457762248455716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15180393825728306413362579/25000000000000000000000 (/.f64 1 z)))))
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(/.f64 -15180393825728306413362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 10437793482330779120352833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 15180393825728306413362579/25000000000000000000000 (/.f64 1 z))))
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(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
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(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))
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(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
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(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
(+.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 9999999999998099/10000000000000000))))) 0)
(+.f64 0 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 9999999999998099/10000000000000000))))))
Outputs
904913194092231175607082059/4200000000000000000000000
(+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000)
(+.f64 904913194092231175607082059/4200000000000000000000000 (*.f64 53036041432250143800703952839/705600000000000000000000000 z))
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(+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (+.f64 904913194092231175607082059/4200000000000000000000000 (*.f64 3071153072001789988329900520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 3071153072001789988329900520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (+.f64 (*.f64 176298653536977737887855582369999/19914854400000000000000000000000 (pow.f64 z 3)) 904913194092231175607082059/4200000000000000000000000)))
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(+.f64 904913194092231175607082059/4200000000000000000000000 (+.f64 (*.f64 3071153072001789988329900520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (*.f64 176298653536977737887855582369999/19914854400000000000000000000000 (pow.f64 z 3)))))
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(/.f64 -15180393825728306413362579/25000000000000000000000 z)
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(/.f64 -15180393825728306413362579/25000000000000000000000 z)
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(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
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(+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) z) (sqrt.f64 (PI.f64)))))))
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(+.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))) (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) z)))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 z 2)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 z 3))))))
(+.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(+.f64 0 (sqrt.f64 (*.f64 2 (PI.f64))))
(+.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 1)
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(*.f64 1 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z)))))
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(*.f64 1 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z)))))
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(+.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 9999999999998099/10000000000000000))))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))))
(+.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))))
(+.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))))))
(+.f64 0 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 9999999999998099/10000000000000000))))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))))
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(+.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))))
(+.f64 0 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))))))

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))
✓0.0b
(exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))
✓0.4b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 120 to 81 computations (32.5% saved)

series8.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
z
@-inf
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.0ms
z
@inf
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.0ms
z
@0
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
0.0ms
z
@-inf
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))
0.0ms
z
@inf
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))

rewrite58.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
2652×rational.json-simplify-31
1202×rational.json-simplify-2
500×bool.json-1
482×rational.json-1
482×rational.json-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024119
1116119
2203119
3311103
4457103
5588103
6664103
7671103
8678103
9680103
10680103
11741103
121172103
131780103
141880103
151880103
161980103
171980103
181980103
192527103
203141103
Stop Event
1×saturated
Counts
3 → 10
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))))) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 z 15/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 z 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 z 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 z 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (exp.f64 (-.f64 z 15/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x or (exp.f64 (-.f64 z 15/2)) (exp.f64 (-.f64 z 15/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))))))))

simplify359.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
12956×rational.json-simplify-31
3394×rational.json-simplify-2
412×rational.json-simplify-1
202×rational.json-simplify-33
154×rational.json-simplify-27
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01372496
13092454
25202436
38322406
412382406
514272406
614452406
714642406
814792406
914962406
1019672406
1119722406
1219802406
1319872406
1419922406
1520002406
1622512406
1722592406
1822692406
1922772406
2022832406
2122912406
2222992406
2323052406
2423132406
2523212406
2623272406
2723352406
2823432406
2923492406
3023572406
3123652406
3223712406
3323792406
3423872406
3523932406
3624012406
3724092406
3824152406
3924232406
4024312406
4134362406
4234362406
4337972406
4437972406
4554982406
4660352406
4760352406
Stop Event
1×node limit
Counts
46 → 99
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (*.f64 (sqrt.f64 2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(exp.f64 -15/2)
(+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (exp.f64 -15/2) z) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2)))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (exp.f64 -15/2) z) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))))))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))
(+.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))))) 0)
(+.f64 0 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))))))
(+.f64 (exp.f64 (-.f64 z 15/2)) 0)
(+.f64 0 (exp.f64 (-.f64 z 15/2)))
(*.f64 1 (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (-.f64 z 15/2)) 1)
(*.f64 -1 (*.f64 (exp.f64 (-.f64 z 15/2)) -1))
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) -1) -1)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))) 0)
(+.f64 0 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 -1/15 (*.f64 -1 (log.f64 15/2)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 14/15 (*.f64 -1 (log.f64 15/2))))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15/2)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) z)))
(*.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) z)))
(*.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(exp.f64 -15/2)
(+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))
(*.f64 (exp.f64 -15/2) (+.f64 1 z))
(*.f64 (exp.f64 -15/2) (+.f64 z 1))
(+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (exp.f64 -15/2) z) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2)))))
(+.f64 (*.f64 (exp.f64 -15/2) (+.f64 1 z)) (*.f64 (exp.f64 -15/2) (*.f64 1/2 (pow.f64 z 2))))
(+.f64 (*.f64 (exp.f64 -15/2) (+.f64 z 1)) (*.f64 (exp.f64 -15/2) (*.f64 1/2 (pow.f64 z 2))))
(+.f64 (*.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) (+.f64 1 (*.f64 1/2 (pow.f64 z 2)))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (exp.f64 -15/2) (+.f64 (*.f64 (exp.f64 -15/2) z) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))))))
(+.f64 (+.f64 (*.f64 (exp.f64 -15/2) (+.f64 1 z)) (*.f64 (exp.f64 -15/2) (*.f64 1/2 (pow.f64 z 2)))) (*.f64 (exp.f64 -15/2) (*.f64 1/6 (pow.f64 z 3))))
(+.f64 (+.f64 (*.f64 (exp.f64 -15/2) (+.f64 z 1)) (*.f64 (exp.f64 -15/2) (*.f64 1/2 (pow.f64 z 2)))) (*.f64 (exp.f64 -15/2) (*.f64 1/6 (pow.f64 z 3))))
(+.f64 (+.f64 (*.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))) (*.f64 (exp.f64 -15/2) (*.f64 1/6 (pow.f64 z 3))))
(+.f64 (*.f64 (exp.f64 -15/2) z) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 1/6 (pow.f64 z 3))) (*.f64 (exp.f64 -15/2) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))))
(+.f64 (*.f64 (exp.f64 -15/2) z) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 1/2 (pow.f64 z 2))) (*.f64 (exp.f64 -15/2) (+.f64 1 (*.f64 1/6 (pow.f64 z 3))))))
(+.f64 (*.f64 (exp.f64 -15/2) (+.f64 z 1)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 1/2 (pow.f64 z 2))) (*.f64 (exp.f64 -15/2) (*.f64 1/6 (pow.f64 z 3)))))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 -15/2 z))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 -15/2 z))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 -15/2 z))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 -15/2 z))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (+.f64 -15/2 z))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (+.f64 -15/2 z))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (+.f64 -15/2 z))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (+.f64 -15/2 z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 z 1))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 z 1)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/8400000000000000000000000 (pow.f64 z 2)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (*.f64 (pow.f64 z 2) (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) 1106209385320415913103082059/8400000000000000000000000))))
(+.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 z 1)) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) 1106209385320415913103082059/8400000000000000000000000)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 z 1))) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) 1106209385320415913103082059/8400000000000000000000000)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 z 1))) (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/8400000000000000000000000)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/8400000000000000000000000 (pow.f64 z 2)))) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/25200000000000000000000000 (pow.f64 z 3)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (pow.f64 z 2) (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 3) 1106209385320415913103082059/25200000000000000000000000)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) 1106209385320415913103082059/8400000000000000000000000)) (*.f64 (pow.f64 z 3) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000)))))
(+.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 z 1)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) 1106209385320415913103082059/8400000000000000000000000)) (*.f64 (pow.f64 z 3) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 z 1))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) 1106209385320415913103082059/8400000000000000000000000)) (*.f64 (pow.f64 z 3) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 z 1))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) 1106209385320415913103082059/8400000000000000000000000)) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 3) 1106209385320415913103082059/25200000000000000000000000))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (+.f64 z 1))) (+.f64 (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/8400000000000000000000000)) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 3) 1106209385320415913103082059/25200000000000000000000000))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(+.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
(+.f64 (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000)))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 0 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
(+.f64 (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000)))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (exp.f64 (-.f64 z 15/2)) 0)
(+.f64 (exp.f64 (+.f64 -15/2 z)) 0)
(+.f64 0 (exp.f64 (-.f64 z 15/2)))
(+.f64 (exp.f64 (+.f64 -15/2 z)) 0)
(*.f64 1 (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) 1)
(*.f64 (exp.f64 (-.f64 z 15/2)) 1)
(*.f64 (exp.f64 (+.f64 -15/2 z)) 1)
(*.f64 -1 (*.f64 (exp.f64 (-.f64 z 15/2)) -1))
(*.f64 (exp.f64 (+.f64 -15/2 z)) 1)
(*.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) -1) -1)
(*.f64 (exp.f64 (+.f64 -15/2 z)) 1)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) 0)

localize58.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (PI.f64) z)
0.3b
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 153 to 95 computations (37.9% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
2.0ms
z
@inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
2.0ms
z
@-inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))

rewrite28.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
324×rational.json-simplify-2
316×rational.json-simplify-31
182×bool.json-1
160×rational.json-1
160×rational.json-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028109
1136109
2234109
3342101
4469101
5600101
6686101
7707101
8713101
9713101
10726101
11746101
12765101
13770101
14784101
15790101
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (exp.f64 (+.f64 -15/2 z)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (exp.f64 (+.f64 -15/2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (exp.f64 (+.f64 -15/2 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (exp.f64 (+.f64 -15/2 z)))))))))))

simplify380.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
8914×rational.json-simplify-31
3434×rational.json-simplify-2
442×rational.json-simplify-27
356×rational.json-simplify-1
322×rational.json-simplify-9
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553050
13503050
25833050
38943050
413123050
515203050
615613050
716063050
816463050
916953050
1024653050
1128683050
1228833050
1329013050
1429163050
1529313050
1629493050
1729643050
1829793050
1929973050
2030123050
2130273050
2230423050
2330543050
2430693050
2530843050
2630963050
2731113050
2831263050
2931383050
3031533050
3131893050
3232043050
3332193050
3432373050
3532523050
3632673050
3732853050
3833003050
3933153050
4033333050
4151633050
4256913050
4356913050
Stop Event
1×node limit
Counts
14 → 47
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))))) (PI.f64)) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))))))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))))) (PI.f64)) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))))))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3))))))))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (exp.f64 (+.f64 -15/2 z)))))) 0)
(+.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (exp.f64 (+.f64 -15/2 z)))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))))))))
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))))))))
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(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)))))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)))))) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (exp.f64 (-.f64 z 15/2))) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)))))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)))))) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (exp.f64 (-.f64 z 15/2))) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)))))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)))))) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 z 15/2)) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 z (exp.f64 (-.f64 z 15/2))) (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (exp.f64 (+.f64 -15/2 z)))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 0)
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64))))))) 0)
(+.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)) (exp.f64 (+.f64 -15/2 z)))))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 0)
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64))))))) 0)

localize136.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
✓1.0b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
✓1.0b
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
Compiler

Compiled 403 to 290 computations (28% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite8.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
68×bool.json-1
56×rational.json-simplify-2
52×rational.json-simplify-1
46×rational.json-1
46×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02391
110991
217891
321791
425091
525891
Stop Event
1×saturated
Counts
3 → 8
Calls
Call 1
Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))

simplify216.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2464×rational.json-simplify-31
2130×rational.json-simplify-27
1916×rational.json-simplify-41
1546×rational.json-simplify-2
1246×rational.json-simplify-40
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01542326
13102284
25182266
39242200
416592200
528812200
643162200
748582200
851122200
952892200
1054952200
1157592200
1259702200
1362232200
1464532200
1565512200
1665622200
1765892200
1865892200
1968322200
2076302200
2178862200
2279522200
2379522200
Stop Event
1×node limit
Counts
44 → 95
Calls
Call 1
Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1)
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
(+.f64 0 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(+.f64 -11173853963059511/30000000000000 (*.f64 -5154349522119383/22500000000000 z))
(+.f64 (*.f64 -5154349522119383/22500000000000 z) -11173853963059511/30000000000000)
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(+.f64 -11173853963059511/30000000000000 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))))
(+.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) -11173853963059511/30000000000000)
(+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) -11173853963059511/30000000000000))
(-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(+.f64 -11173853963059511/30000000000000 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)))) -11173853963059511/30000000000000)
(+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (+.f64 (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) -11173853963059511/30000000000000))
(+.f64 (*.f64 -5154349522119383/22500000000000 z) (+.f64 (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) -11173853963059511/30000000000000)))
(+.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) -11173853963059511/30000000000000) (+.f64 (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 (/.f64 1 (pow.f64 z 2)) -2043081471118463/10000000000000))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 (/.f64 1 (pow.f64 z 3)) -19053539921092667/10000000000000)))
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (-.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) -19053539921092667/10000000000000) (*.f64 (/.f64 1 z) -4878157879447497/10000000000000)))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (+.f64 (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4)))))
(+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (-.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) -19053539921092667/10000000000000) (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))))))
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) -19053539921092667/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 4)) -107526188432174113/10000000000000))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 (/.f64 1 (pow.f64 z 2)) -2043081471118463/10000000000000))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 (/.f64 1 (pow.f64 z 3)) -19053539921092667/10000000000000)))
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (-.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) -19053539921092667/10000000000000) (*.f64 (/.f64 1 z) -4878157879447497/10000000000000)))
(-.f64 (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4878157879447497/10000000000000 (/.f64 1 z))) (+.f64 (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4)))))
(+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (-.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) -19053539921092667/10000000000000) (*.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))))))
(+.f64 (*.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 4878157879447497/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) -19053539921092667/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 4)) -107526188432174113/10000000000000))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 -1/15 (*.f64 -1 (log.f64 15/2)))))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15)))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 14/15 (*.f64 -1 (log.f64 15/2))))))
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15))))
(*.f64 (exp.f64 -15/2) (*.f64 (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15))) (sqrt.f64 15/2)))
(*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15)))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))))))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 2)))) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 -1/15 (*.f64 -1 (log.f64 15/2)))) (*.f64 (exp.f64 -15/2) (*.f64 1/2 (sqrt.f64 15/2)))))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15)))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))) (exp.f64 -15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2)))))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 14/15 (*.f64 -1 (log.f64 15/2))))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2)))))))
(+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15)))) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2))))))
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(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 4)) 208257325769966337/10000000000000))) (+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000)))
(-.f64 (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000)) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000)) (*.f64 (/.f64 1 (pow.f64 z 4)) 208257325769966337/10000000000000))
(+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (-.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 z 4)) -208257325769966337/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000)))
(+.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (*.f64 (/.f64 1 z) -7713234287776531/10000000000000)) (-.f64 (*.f64 (/.f64 1 (pow.f64 z 4)) -208257325769966337/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)))
(+.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (*.f64 (/.f64 1 z) -7713234287776531/10000000000000)) (+.f64 (*.f64 (/.f64 1 (pow.f64 z 4)) -208257325769966337/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) -69419108589988779/10000000000000)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(-.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000)) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000))
(-.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000))
(+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (*.f64 (/.f64 1 z) -7713234287776531/10000000000000))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(-.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000)) (+.f64 (*.f64 (/.f64 1 z) 7713234287776531/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)))
(-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000)) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000)) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000))
(-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000)) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000))
(-.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000))
(+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (-.f64 (*.f64 (/.f64 1 z) -7713234287776531/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)))
(+.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (*.f64 (/.f64 1 z) -7713234287776531/10000000000000)) (*.f64 (/.f64 1 (pow.f64 z 3)) -69419108589988779/10000000000000))
(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(-.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 z 4)) 208257325769966337/10000000000000)) (+.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000)) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)))
(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 4)) 208257325769966337/10000000000000))) (+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000)))
(-.f64 (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000)) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000)) (*.f64 (/.f64 1 (pow.f64 z 4)) 208257325769966337/10000000000000))
(+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (-.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 z 4)) -208257325769966337/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)) (*.f64 (/.f64 1 z) 7713234287776531/10000000000000)))
(+.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (*.f64 (/.f64 1 z) -7713234287776531/10000000000000)) (-.f64 (*.f64 (/.f64 1 (pow.f64 z 4)) -208257325769966337/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)))
(+.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 z 2)) -23139702863329593/10000000000000) (*.f64 (/.f64 1 z) -7713234287776531/10000000000000)) (+.f64 (*.f64 (/.f64 1 (pow.f64 z 4)) -208257325769966337/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) -69419108589988779/10000000000000)))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1)
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) 0)
(+.f64 0 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) 0)
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))

localize124.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
✓1.0b
(+.f64 12777243138120953/60000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
1.0b
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 368 to 279 computations (24.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 12777243138120953/60000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
0.0ms
z
@inf
(+.f64 12777243138120953/60000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
0.0ms
z
@-inf
(+.f64 12777243138120953/60000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))

rewrite7.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
54×bool.json-1
44×rational.json-simplify-2
42×rational.json-simplify-1
36×rational.json-1
36×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
15819
211119
315919
419619
520619
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 12777243138120953/60000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 6418621569060470797/30000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 6418621569060470797/30000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 6418621569060470797/30000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 6418621569060470797/30000000000000000))))))

simplify28.0ms (0%)

Algorithm
1×egg-herbie
Rules
282×rational.json-simplify-27
238×rational.json-simplify-1
228×rational.json-simplify-29
214×rational.json-simplify-2
192×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042404
178404
2137404
3251404
4429404
5700404
61045404
71211404
81259404
91300404
101312404
Stop Event
1×saturated
Counts
14 → 25
Calls
Call 1
Inputs
-12468466681775571203/30000000000000000
(-.f64 (*.f64 -3147848041806007/10000000000000 z) 12468466681775571203/30000000000000000)
(-.f64 (+.f64 (*.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) (*.f64 -3147848041806007/10000000000000 z)) 12468466681775571203/30000000000000000)
(-.f64 (+.f64 (*.f64 -3147848041806007/40000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) (*.f64 -3147848041806007/10000000000000 z))) 12468466681775571203/30000000000000000)
6418621569060470797/30000000000000000
(+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z))))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3147848041806007/2500000000000 (/.f64 1 z)))))
6418621569060470797/30000000000000000
(+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z))))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3147848041806007/2500000000000 (/.f64 1 z)))))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 6418621569060470797/30000000000000000) 1)
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 6418621569060470797/30000000000000000))
Outputs
-12468466681775571203/30000000000000000
(-.f64 (*.f64 -3147848041806007/10000000000000 z) 12468466681775571203/30000000000000000)
(+.f64 -12468466681775571203/30000000000000000 (*.f64 -3147848041806007/10000000000000 z))
(+.f64 (*.f64 -3147848041806007/10000000000000 z) -12468466681775571203/30000000000000000)
(-.f64 (+.f64 (*.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) (*.f64 -3147848041806007/10000000000000 z)) 12468466681775571203/30000000000000000)
(+.f64 -12468466681775571203/30000000000000000 (+.f64 (*.f64 -3147848041806007/10000000000000 z) (*.f64 -3147848041806007/20000000000000 (pow.f64 z 2))))
(+.f64 (+.f64 (*.f64 -3147848041806007/10000000000000 z) -12468466681775571203/30000000000000000) (*.f64 -3147848041806007/20000000000000 (pow.f64 z 2)))
(+.f64 (*.f64 -3147848041806007/10000000000000 z) (+.f64 (*.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) -12468466681775571203/30000000000000000))
(-.f64 (+.f64 (*.f64 -3147848041806007/40000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) (*.f64 -3147848041806007/10000000000000 z))) 12468466681775571203/30000000000000000)
(+.f64 -12468466681775571203/30000000000000000 (+.f64 (+.f64 (*.f64 -3147848041806007/40000000000000 (pow.f64 z 3)) (*.f64 -3147848041806007/20000000000000 (pow.f64 z 2))) (*.f64 -3147848041806007/10000000000000 z)))
(+.f64 (+.f64 (*.f64 -3147848041806007/10000000000000 z) (+.f64 (*.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) (*.f64 -3147848041806007/40000000000000 (pow.f64 z 3)))) -12468466681775571203/30000000000000000)
(+.f64 (+.f64 (*.f64 -3147848041806007/10000000000000 z) -12468466681775571203/30000000000000000) (+.f64 (*.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) (*.f64 -3147848041806007/40000000000000 (pow.f64 z 3))))
(+.f64 (*.f64 -3147848041806007/10000000000000 z) (-.f64 (+.f64 (*.f64 -3147848041806007/40000000000000 (pow.f64 z 3)) -12468466681775571203/30000000000000000) (*.f64 (pow.f64 z 2) 3147848041806007/20000000000000)))
6418621569060470797/30000000000000000
(+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z))))
(+.f64 (+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z))) (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)) (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3147848041806007/2500000000000 (/.f64 1 z)))))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)) (*.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z))) (+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3)))))
6418621569060470797/30000000000000000
(+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z))))
(+.f64 (+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z))) (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)) (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3147848041806007/2500000000000 (/.f64 1 z)))))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)) (*.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 6418621569060470797/30000000000000000 (*.f64 3147848041806007/2500000000000 (/.f64 1 z))) (+.f64 (*.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3)))))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 6418621569060470797/30000000000000000) 1)
(*.f64 1 (+.f64 6418621569060470797/30000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 6418621569060470797/30000000000000000))
(*.f64 1 (+.f64 6418621569060470797/30000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))

eval544.0ms (0.8%)

Compiler

Compiled 35909 to 28070 computations (21.8% saved)

prune133.0ms (0.2%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New49215507
Fresh41418
Picked101
Done246
Total49933532
Error
0b
Counts
532 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.9b
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))) 0)
1.5b
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) 0)
1.3b
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 0)
1.7b
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
1.2b
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
1.4b
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
1.8b
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
1.8b
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
1.7b
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
✓0.8b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
0.9b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
1.2b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 10409174657078461523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
1.3b
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3))))
1.3b
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
✓0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 0))
▶0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 0))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (exp.f64 (+.f64 -15/2 z))))) 0))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))))) 0))
0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 0))
✓0.6b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 0))
0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15)))))) 0))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 0))
▶0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (*.f64 1 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (*.f64 z 28055769969492049/80000000000000) (+.f64 37970024701483599/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
✓1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
1.3b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.7b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 z 1))))
▶1.7b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
1.3b
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
0.8b
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (*.f64 165237873984296417/320000000000000 (pow.f64 z 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
1.2b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
▶1.3b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
Compiler

Compiled 2715 to 2164 computations (20.3% saved)

localize126.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000)))))
1.0b
(*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))
✓1.0b
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
Compiler

Compiled 369 to 271 computations (26.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
1.0ms
z
@-inf
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
1.0ms
z
@inf
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
0.0ms
z
@inf
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000)))))
0.0ms
z
@0
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000)))))

rewrite45.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1080×rational.json-simplify-33
884×rational.json-simplify-1
422×bool.json-1
394×rational.json-1
394×rational.json-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035196
1170196
2303196
3566184
41118184
51497184
61566184
71580184
81586184
91586184
101586184
111854184
121955184
131958184
Stop Event
1×saturated
Counts
2 → 4
Calls
Call 1
Inputs
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))))))))

simplify59.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
556×rational.json-simplify-2
508×rational.json-simplify-1
382×rational.json-simplify-31
368×rational.json-simplify-33
28×rational.json-simplify-27
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01462208
13082208
25482208
38352208
411162208
512372208
612582208
712612208
Stop Event
1×saturated
Counts
28 → 71
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 2803287552293176006997/5400000000000000000 (exp.f64 -15/2)))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 2803287552293176006997/5400000000000000000 (exp.f64 -15/2)))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 2803287552293176006997/5400000000000000000 (exp.f64 -15/2)) (*.f64 19369499549008829926997/32400000000000000000 (exp.f64 -15/2))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(*.f64 53036041432250143800703952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 14568935492394585503/25000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 23032368648681435259/12500000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 14568935492394585503/25000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))))))
(*.f64 53036041432250143800703952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sqrt.f64 (PI.f64)))) (*.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 14568935492394585503/25000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) z) (sqrt.f64 (PI.f64)))) (*.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 14568935492394585503/25000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 23032368648681435259/12500000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))))))
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 2803287552293176006997/5400000000000000000 (pow.f64 z 2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 2803287552293176006997/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 19369499549008829926997/32400000000000000000 (pow.f64 z 3)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(*.f64 53036041432250143800703952839/705600000000000000000000000 z)
(+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 53036041432250143800703952839/705600000000000000000000000 z))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z))))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (+.f64 (*.f64 23032368648681435259/12500000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z)))))
(*.f64 53036041432250143800703952839/705600000000000000000000000 z)
(+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 53036041432250143800703952839/705600000000000000000000000 z))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z))))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (+.f64 (*.f64 23032368648681435259/12500000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z)))))
(+.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 0 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))))
(*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) 1)
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000)) z))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000)) z))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000)) z))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (*.f64 z (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 2803287552293176006997/5400000000000000000 (exp.f64 -15/2)))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000)) z)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/8400000000000000000000000) (+.f64 (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000) (*.f64 (exp.f64 -15/2) 2803287552293176006997/5400000000000000000))) (pow.f64 z 2)))))
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1106209385320415913103082059/4200000000000000000000000
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(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 2803287552293176006997/5400000000000000000 (pow.f64 z 2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 2803287552293176006997/5400000000000000000 (pow.f64 z 2))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 2803287552293176006997/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 19369499549008829926997/32400000000000000000 (pow.f64 z 3)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 2803287552293176006997/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 19369499549008829926997/32400000000000000000 (pow.f64 z 3)))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 z) (+.f64 (*.f64 2803287552293176006997/5400000000000000000 (pow.f64 z 2)) (*.f64 19369499549008829926997/32400000000000000000 (pow.f64 z 3)))))
(*.f64 53036041432250143800703952839/705600000000000000000000000 z)
(*.f64 z 53036041432250143800703952839/705600000000000000000000000)
(+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 53036041432250143800703952839/705600000000000000000000000 z))
(+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 z 53036041432250143800703952839/705600000000000000000000000))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z))))
(+.f64 (+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 z 53036041432250143800703952839/705600000000000000000000000)) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z)))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z))))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (+.f64 (*.f64 23032368648681435259/12500000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z)))))
(+.f64 (+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 z 53036041432250143800703952839/705600000000000000000000000)) (+.f64 (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z)) (*.f64 23032368648681435259/12500000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (+.f64 (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z)) (*.f64 23032368648681435259/12500000000000000 (/.f64 1 (pow.f64 z 2))))))
(*.f64 53036041432250143800703952839/705600000000000000000000000 z)
(*.f64 z 53036041432250143800703952839/705600000000000000000000000)
(+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 53036041432250143800703952839/705600000000000000000000000 z))
(+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 z 53036041432250143800703952839/705600000000000000000000000))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z))))
(+.f64 (+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 z 53036041432250143800703952839/705600000000000000000000000)) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z)))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z))))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) (+.f64 (*.f64 23032368648681435259/12500000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z)))))
(+.f64 (+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 z 53036041432250143800703952839/705600000000000000000000000)) (+.f64 (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z)) (*.f64 23032368648681435259/12500000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (+.f64 (*.f64 14568935492394585503/25000000000000000 (/.f64 1 z)) (*.f64 23032368648681435259/12500000000000000 (/.f64 1 (pow.f64 z 2))))))
(+.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 z 53036041432250143800703952839/705600000000000000000000000)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 0 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))
(+.f64 (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 z 53036041432250143800703952839/705600000000000000000000000)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(+.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)
(*.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))))
(*.f64 1 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 z 53036041432250143800703952839/705600000000000000000000000)))))
(*.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))))
(*.f64 1 (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(*.f64 1 (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))))
(*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 909113194092230377187082059/4200000000000000000000000)))) 1)
(*.f64 1 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 909113194092230377187082059/4200000000000000000000000 (*.f64 z 53036041432250143800703952839/705600000000000000000000000)))))
(*.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))))
(*.f64 1 (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(*.f64 1 (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))))

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))
✓0.0b
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))
✓0.4b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 100 to 71 computations (29% saved)

series8.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@0
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
1.0ms
z
@inf
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
1.0ms
z
@-inf
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
1.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))
0.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))

rewrite56.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
2640×rational.json-simplify-31
1188×rational.json-simplify-2
486×bool.json-1
468×rational.json-1
468×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024145
1112145
2186145
3271145
4392145
5512145
6597145
7604145
8611145
9613145
10613145
11674145
121101145
131707145
141807145
151807145
161907145
171907145
181907145
192386145
203049145
Stop Event
1×saturated
Counts
3 → 10
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))
(pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))))))

simplify791.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
11928×rational.json-simplify-31
3960×rational.json-simplify-2
628×rational.json-simplify-27
476×rational.json-simplify-9
422×rational.json-simplify-41
Iterations

Useful iterations: 19 (0.0ms)

IterNodesCost
01303096
12843084
25353084
310693084
414353058
514523058
614683058
714843058
814953058
915103058
1015363058
1115493058
1215643058
1315823058
1415953058
1516103058
1616283058
1716413058
1816563058
1935503006
2035633006
2135783006
2235943006
2336053006
2436203006
2536363006
2636473006
2736623006
2836783006
2936893006
3048923006
3149103006
3249233006
3349383006
3449563006
3549693006
3649843006
3750023006
3850153006
3950303006
4050483006
4150613006
4250763006
4350943006
4451073006
4551223006
4651403006
4751533006
4851683006
4951863006
5051993006
5152143006
5252323006
5352453006
5452603006
5552783006
5652913006
5753063006
5853243006
5953373006
6053523006
6153703006
6253833006
6353983006
6454163006
6554293006
6654443006
6754623006
6854753006
6954903006
7055083006
7155213006
7255363006
7355543006
7455673006
7555823006
7656003006
7756133006
7856283006
7956463006
Stop Event
1×node limit
Counts
46 → 106
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3))))))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64)))
(sqrt.f64 15/2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z)) (sqrt.f64 15/2))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z)) (+.f64 (sqrt.f64 15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2)))))
(+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z)) (+.f64 (sqrt.f64 15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2))))))
(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))
(+.f64 (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) 0)
(+.f64 0 (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))))
(+.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) 0)
(+.f64 0 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))
(*.f64 1 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))
(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) 1)
(*.f64 -1 (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) -1))
(*.f64 (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) -1) -1)
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))
(+.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 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15)))))
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(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(*.f64 (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)))
(*.f64 (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(sqrt.f64 15/2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z)) (sqrt.f64 15/2))
(+.f64 (sqrt.f64 15/2) (*.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (sqrt.f64 15/2) z)))
(*.f64 (sqrt.f64 15/2) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))))
(*.f64 (sqrt.f64 15/2) (+.f64 1 (*.f64 z (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z)) (+.f64 (sqrt.f64 15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2)))))
(+.f64 (+.f64 (sqrt.f64 15/2) (*.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (sqrt.f64 15/2) z))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2))))
(+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2))) (*.f64 (sqrt.f64 15/2) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15)))))
(+.f64 (*.f64 z (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (*.f64 (sqrt.f64 15/2) (+.f64 1 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))) (pow.f64 z 2)))))
(+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (*.f64 (sqrt.f64 15/2) (+.f64 1 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))) (pow.f64 z 2)))))
(+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2))) (*.f64 (sqrt.f64 15/2) (+.f64 1 (*.f64 z (+.f64 -1/15 (*.f64 -1 (log.f64 15/2)))))))
(+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) z)) (+.f64 (sqrt.f64 15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2))))))
(+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 (+.f64 (*.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 29/225) 86/10125) (*.f64 1/6 (pow.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 3))) (pow.f64 z 3))) (+.f64 (+.f64 (sqrt.f64 15/2) (*.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (sqrt.f64 15/2) z))) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 29/225) 86/10125)) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2))) (*.f64 (sqrt.f64 15/2) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))))))
(+.f64 (*.f64 z (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 29/225) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 3)))) (pow.f64 z 3))) (*.f64 (sqrt.f64 15/2) (+.f64 1 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))) (pow.f64 z 2))))))
(+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15))) (+.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 2))) (pow.f64 z 2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 29/225) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 15/2)) -1/15) 3)))) (pow.f64 z 3)) 1))))
(+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 2))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 86/10125 (+.f64 (*.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 29/225) (*.f64 1/6 (pow.f64 (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))) 3)))) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (*.f64 (sqrt.f64 15/2) (+.f64 1 (*.f64 z (+.f64 -1/15 (*.f64 -1 (log.f64 15/2))))))))
(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))
(exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))
(exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))
(exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))
(exp.f64 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))
(+.f64 (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) 0)
(+.f64 (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) 0)
(+.f64 (*.f64 (/.f64 1 z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))) 0)
(+.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))) 0)
(+.f64 0 (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.f64 (*.f64 (/.f64 1 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) 0)
(+.f64 (*.f64 (/.f64 1 z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))) 0)
(+.f64 (*.f64 (/.f64 1 z) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))))
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(+.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) 0)
(+.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 0)
(+.f64 0 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))
(+.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 0)
(*.f64 1 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)))
(*.f64 1 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) 1)
(*.f64 1 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 -1 (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) -1))
(*.f64 1 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2)) -1) -1)
(*.f64 1 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
✓0.6b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
✓1.0b
(sqrt.f64 (PI.f64))
✓1.0b
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
Compiler

Compiled 66 to 57 computations (13.6% saved)

series3.0ms (0%)

Counts
4 → 0
Calls

6 calls:

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

rewrite8.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
62×rational.json-simplify-2
54×bool.json-1
42×rational.json-1
42×rational.json-2
42×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019102
188102
2144102
3165102
4167102
Stop Event
1×saturated
Counts
4 → 12
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(sqrt.f64 (PI.f64))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))))))

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Rules
28×rational.json-simplify-2
8×rational.json-simplify-31
8×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034352
143352
250352
353352
Stop Event
1×saturated
Counts
12 → 12
Calls
Call 1
Inputs
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 0)
(+.f64 0 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (sqrt.f64 (PI.f64)) 0)
(+.f64 0 (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))))
(+.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) 0)
(+.f64 0 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) 1)
(*.f64 1 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))
Outputs
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 0)
(+.f64 0 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 0)
(+.f64 (sqrt.f64 (PI.f64)) 0)
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 0 (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) 1)
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))))
(+.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) 0)
(+.f64 0 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))
(+.f64 0 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) 1)
(*.f64 1 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))
(*.f64 1 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))

localize62.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
✓1.0b
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
✓1.0b
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
1.0b
(sqrt.f64 (*.f64 2 (PI.f64)))
Compiler

Compiled 166 to 109 computations (34.3% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
1.0ms
z
@-inf
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
1.0ms
z
@0
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
1.0ms
z
@-inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
1.0ms
z
@inf
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))

rewrite10.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
102×rational.json-simplify-2
74×bool.json-1
62×rational.json-1
62×rational.json-2
60×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022149
1104149
2172149
3223149
4250149
5254149
Stop Event
1×saturated
Counts
3 → 6
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))))))

simplify343.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
9428×rational.json-simplify-31
3764×rational.json-simplify-2
284×rational.json-simplify-1
210×rational.json-simplify-27
152×rational.json-simplify-41
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01533734
13273734
25493734
39533734
414043656
516213656
616543656
716893656
817223656
917623656
1021993656
1123663656
1223803656
1323923656
1424023656
1524123656
1624243656
1724343656
1824443656
1924563656
2024663656
2132613656
2232613656
2335543656
2435543656
2550813656
2654503656
2754503656
2867973656
2970423656
3070453656
3170463656
3270463656
Stop Event
1×node limit
Counts
42 → 120
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) z)) (sqrt.f64 (PI.f64))))))
(*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))))
(*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sqrt.f64 (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (PI.f64)) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (PI.f64)))))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (PI.f64)) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (PI.f64)))))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (PI.f64))))))
(*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 z 15/2)) z)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 z 15/2)) z)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 z 15/2)) z)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (-.f64 z 15/2)) z)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(+.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 0)
(+.f64 0 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 1 z))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 z 1))
(*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 z 1)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (+.f64 z 1))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1/2 (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2)))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) 1/2) (pow.f64 z 2))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 1 z)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 z 1)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 z 1)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (pow.f64 z 2))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 1 (*.f64 1/2 (pow.f64 z 2)))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (pow.f64 z 2)) 1)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 z 1)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) 1/2)))))
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 z 1)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) 1/2)))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (+.f64 z 1)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) 1/2)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1/2 (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (*.f64 1/6 (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))))) (*.f64 1/6 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (+.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) 1/6) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) 1/6) (pow.f64 z 3)))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) 1/2) (pow.f64 z 2)))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 1 z)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 (PI.f64)) 1/6))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 z 1)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 (PI.f64)) 1/6))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 z 1)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (pow.f64 z 2))))) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/6 (pow.f64 z 3)))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/6 (pow.f64 z 3))))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 1 (*.f64 1/2 (pow.f64 z 2))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/6 (pow.f64 z 3))))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (pow.f64 z 2)) 1))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) 1/2)))) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 z 3)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) z))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 -15/2) 1/2)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (pow.f64 z 3)) 1)))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 2) z))))
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(+.f64 (*.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) z)) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) z)) (sin.f64 (*.f64 (PI.f64) z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 (PI.f64) z))))))
(+.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 (PI.f64) z))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) z)) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) z)) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) z)) (sin.f64 (*.f64 (PI.f64) z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 (PI.f64) z))))))
(+.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 -15/2 z)))) (sin.f64 (*.f64 (PI.f64) z))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(+.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(+.f64 0 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(+.f64 0 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(+.f64 0 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))

localize118.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓0.4b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
✓1.0b
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
1.0b
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 362 to 243 computations (32.9% saved)

series7.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
2.0ms
z
@-inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.0ms
z
@inf
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
0.0ms
z
@0
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
0.0ms
z
@inf
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))

rewrite69.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
990×rational.json-simplify-33
912×rational.json-simplify-1
524×bool.json-1
486×rational.json-1
486×rational.json-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048298
1228298
2380298
3610290
41024290
51390290
61540290
71561290
81567290
91567290
101866290
112173290
122218290
132233290
142238290
152252290
162258290
172258290
182375290
192385290
202385290
Stop Event
1×saturated
Counts
2 → 4
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))))) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 -15/2 z)))))))))))

simplify306.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
2310×rational.json-simplify-27
2066×rational.json-simplify-41
2030×rational.json-simplify-2
1442×rational.json-simplify-1
1300×rational.json-simplify-31
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02264450
15034450
28734450
314304450
423054450
527404450
631074450
734474450
840294450
946064450
1055094450
1160344450
1262594450
1365204450
1467294450
1569444450
1671824450
1774084450
1875394450
1975574450
2075654450
2175654450
2278174450
Stop Event
1×node limit
Counts
28 → 85
Calls
Call 1
Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(*.f64 314207804027640689/720000000000000 z)
(+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z))
(-.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)) (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(*.f64 314207804027640689/720000000000000 z)
(+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z))
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Outputs
1106209385320415913103082059/4200000000000000000000000
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eval395.0ms (0.6%)

Compiler

Compiled 27049 to 20743 computations (23.3% saved)

prune102.0ms (0.2%)

Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New4619470
Fresh71724
Picked101
Done448
Total47330503
Error
0b
Counts
503 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
1.2b
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) 0)
0.9b
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (+.f64 z 1))))))) 0)
1.3b
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 0)
1.2b
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
1.3b
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))) 0)
1.8b
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))) 0)
1.5b
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
1.4b
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
1.8b
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
1.7b
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
✓0.8b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
0.9b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
1.2b
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 10409174657078461523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
1.3b
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)) 0))
✓0.5b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 0))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 z 350291408665333106351952839/705600000000000000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (exp.f64 (+.f64 -15/2 z))))) 0))
1.0b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0))
1.1b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))))) 0))
0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 0))
0.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (*.f64 1 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (*.f64 z 28055769969492049/80000000000000) (+.f64 37970024701483599/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
✓1.7b
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
0.7b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.3b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.6b
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
0.7b
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
1.3b
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
0.8b
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (*.f64 165237873984296417/320000000000000 (pow.f64 z 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
1.2b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
✓1.3b
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
Compiler

Compiled 1337 to 1070 computations (20% saved)

regimes126.0ms (0.2%)

Counts
65 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 z 1))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) 0)
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 0))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (+.f64 z 1))))))) 0)
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1 (*.f64 z (+.f64 (*.f64 -1 (log.f64 15/2)) 14/15)))))) 0))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (*.f64 165237873984296417/320000000000000 (pow.f64 z 2))))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (+.f64 (*.f64 -5154349522119383/22500000000000 z) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (+.f64 z 1)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 0))
Calls

2 calls:

28.0ms
(*.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)))))
24.0ms
z
Results
ErrorSegmentsBranch
0.5b1z
0.5b1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Compiler

Compiled 3482 to 2506 computations (28% saved)

regimes73.0ms (0.1%)

Counts
52 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 z 1))))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 0))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) 0))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) 0))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 0))
Calls

1 calls:

19.0ms
z
Results
ErrorSegmentsBranch
0.6b1z
Compiler

Compiled 2448 to 1735 computations (29.1% saved)

regimes44.0ms (0.1%)

Counts
33 → 1
Calls
Call 1
Inputs
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(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 z 1))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) 0)
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
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(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))) 0)
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 0))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 10409174657078461523082059/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (*.f64 53036041432250143800703952839/705600000000000000000000000 z) 904913194092231175607082059/4200000000000000000000000))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 0))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (+.f64 909113194092230377187082059/4200000000000000000000000 (+.f64 (+.f64 (*.f64 z 53036041432250143800703952839/705600000000000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)) 0))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 62984711258857409/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) 7827144361880981797/30000000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
Outputs
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
Calls

1 calls:

19.0ms
z
Results
ErrorSegmentsBranch
0.7b1z
Compiler

Compiled 1152 to 827 computations (28.2% saved)

regimes18.0ms (0%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 z 1))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z))) 0)
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) 0)
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
Outputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
Calls

1 calls:

8.0ms
z
Results
ErrorSegmentsBranch
0.7b1z
Compiler

Compiled 440 to 340 computations (22.7% saved)

regimes13.0ms (0%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 z 1))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
Calls

1 calls:

6.0ms
z
Results
ErrorSegmentsBranch
1.2b1z
Compiler

Compiled 273 to 214 computations (21.6% saved)

regimes9.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
Outputs
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
Calls

1 calls:

4.0ms
z
Results
ErrorSegmentsBranch
1.4b1z
Compiler

Compiled 163 to 133 computations (18.4% saved)

regimes8.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
Outputs
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
Calls

1 calls:

4.0ms
z
Results
ErrorSegmentsBranch
1.5b1z
Compiler

Compiled 138 to 113 computations (18.1% saved)

regimes5.0ms (0%)

Accuracy

Total -0.1b remaining (-4.8%)

Threshold costs -0.1b (-4.8%)

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

1 calls:

3.0ms
z
Results
ErrorSegmentsBranch
1.6b1z
Compiler

Compiled 42 to 35 computations (16.7% saved)

simplify12.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321118
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 0))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 0))
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))))) 0))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (*.f64 z 350291408665333106351952839/705600000000000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 14609174657077663103082059/4200000000000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) 0))
(*.f64 (+.f64 (/.f64 1 z) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 z 1/6))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 (neg.f64 z) 1/2))) (*.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7827144361880981797/30000000000000000 (*.f64 z 314207804027640689/720000000000000))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 1 z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 1 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 0)
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1 z))))) 0)
(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
Compiler

Compiled 363 to 288 computations (20.7% saved)

soundness450.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
3882×rational.json-simplify-33
3744×rational.json-simplify-31
3492×rational.json-simplify-1
2684×rational.json-simplify-33
2644×rational.json-simplify-29
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
064311
1106273
2215269
3616253
41255241
52682241
63888237
74450229
84658229
94745229
104790229
114798229
124886229
134970229
144970229
154977229
164977229
174977229
184977229
197894229
02134332
14744290
28424272
315414230
422334230
522554230
622804230
723104230
823314230
923564230
1028594230
1130734230
1231004230
1331314230
1431544230
1531794230
1632114230
1732374230
1832634230
1949664230
2049924230
2155934230
2257654230
2357654230
2469564230
2569564230
2669584230
2769584230
2869584230
2979344230
Stop Event
1×node limit
1×node limit
Compiler

Compiled 206 to 174 computations (15.5% saved)

end137.0ms (0.2%)

Compiler

Compiled 356 to 268 computations (24.7% saved)

Profiling

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