Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 2.5min)

analyze762.0ms (0.5%)

Memory
33.8MiB live, 903.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
0%0%74.9%25.1%0%0%0%1
0%0%74.9%25.1%0%0%0%2
25%18.7%56.2%25.1%0%0%0%3
50%37.5%37.5%25.1%0%0%0%4
56.3%42.1%32.8%25.1%0%0%0%5
62.5%46.8%28.1%25.1%0%0%0%6
64.1%48%26.9%25.1%0%0%0%7
65.6%49.2%25.8%25.1%0%0%0%8
66%49.5%25.5%25.1%0%0%0%9
66.4%49.8%25.2%25.1%0%0%0%10
66.5%49.8%25.1%25.1%0%0%0%11
66.6%49.9%25.1%25.1%0%0%0%12
Compiler

Compiled 127 to 62 computations (51.2% saved)

sample35.7s (23.4%)

Memory
231.6MiB live, 46 434.9MiB allocated
Samples
28.7s3 986×5exit
4.8s8 256×0valid
71.0ms103×0exit
Precisions
Click to see histograms. Total time spent on operations: 32.8s
ival-sin: 21.9s (66.9% of total)
const: 2.8s (8.5% of total)
ival-add: 2.1s (6.3% of total)
adjust: 1.9s (5.7% of total)
ival-mult: 1.4s (4.4% of total)
ival-div: 1.3s (3.8% of total)
ival-pow: 416.0ms (1.3% of total)
ival-sqrt: 250.0ms (0.8% of total)
ival-pi: 180.0ms (0.5% of total)
ival-sub: 173.0ms (0.5% of total)
ival-exp: 160.0ms (0.5% of total)
ival-neg: 105.0ms (0.3% of total)
ival-<=: 73.0ms (0.2% of total)
exact: 67.0ms (0.2% of total)
ival-assert: 8.0ms (0% of total)
Bogosity

preprocess344.0ms (0.2%)

Memory
-5.3MiB live, 638.5MiB allocated
Algorithm
egg-herbie
Rules
5 942×accelerator-lowering-fma.f32
5 942×accelerator-lowering-fma.f64
4 752×*-lowering-*.f32
4 752×*-lowering-*.f64
3 832×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0100328
1276288
21269224
060101
115695
261576
3406874
0813974
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
Outputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
Call 2
Inputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8)))))
(neg (* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8))))))
Outputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(* (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))) (+ (+ (/ 2501468655737381/200000000000000 (- 5 z)) (/ -3464277381643003/25000000000000000 (- 6 z))) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))) (* (PI) (/ (* (sqrt (* (PI) 2)) (* (pow (+ (neg z) 15/2) (- 1/2 z)) (exp (+ z -15/2)))) (sin (* (PI) z)))))
(* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8)))))
(/ (* (* (PI) (sqrt (* (PI) 2))) (* (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ z 1))) (/ -3147848041806007/2500000000000 (+ z 2))) (+ (/ 7713234287776531/10000000000000 (+ z 3)) (+ (/ -883075145810703/5000000000000 (+ z 4)) (/ 2501468655737381/200000000000000 (+ z 5))))) (+ (/ -3464277381643003/25000000000000000 (+ z 6)) (+ (/ 2496092394504893/250000000000000000000 (+ z 7)) (/ 3764081837873279/25000000000000000000000 (+ z 8))))) (* (pow (+ z 15/2) (+ z 1/2)) (exp (- -15/2 z))))) (neg (sin (* (PI) z))))
(neg (* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8))))))
(* (* (/ (PI) (sin (* (PI) z))) (sqrt (* (PI) 2))) (* (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ z 1))) (/ -3147848041806007/2500000000000 (+ z 2))) (+ (/ 7713234287776531/10000000000000 (+ z 3)) (+ (/ -883075145810703/5000000000000 (+ z 4)) (/ 2501468655737381/200000000000000 (+ z 5))))) (+ (/ -3464277381643003/25000000000000000 (+ z 6)) (+ (/ 2496092394504893/250000000000000000000 (+ z 7)) (/ 3764081837873279/25000000000000000000000 (+ z 8))))) (* (pow (+ z 15/2) (+ z 1/2)) (exp (- -15/2 z)))))

explain1.7s (1.1%)

Memory
55.4MiB live, 2 807.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2490-0-(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
60-0-(sin.f64 (*.f64 (PI.f64) z))
60-0-(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
10-1(-0.2963358667338383)(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
00-0-(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
00-0-(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
00-0-#s(literal 8 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 9999999999998099/10000000000000000 binary64)
00-0-(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
00-0-#s(literal 7713234287776531/10000000000000 binary64)
00-0-(*.f64 (PI.f64) z)
00-0-#s(literal 1/2 binary64)
00-0-#s(literal 7 binary64)
00-0-(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-#s(literal 6765203681218851/10000000000000 binary64)
00-0-#s(literal 3764081837873279/25000000000000000000000 binary64)
00-0-z
00-0-(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
00-0-(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
00-0-(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
00-0-#s(literal 6 binary64)
00-0-(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
00-0-(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))
00-0-(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))
00-0-(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
00-0-(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
00-0-#s(literal -883075145810703/5000000000000 binary64)
00-0-#s(literal 5 binary64)
00-0-(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
00-0-#s(literal -3147848041806007/2500000000000 binary64)
00-0-#s(literal -3464277381643003/25000000000000000 binary64)
00-0-#s(literal 2501468655737381/200000000000000 binary64)
00-0-(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
00-0-(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
00-0-(PI.f64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
00-0-(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
00-0-(*.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 2496092394504893/250000000000000000000 binary64)
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
00-0-(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
00-0-(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
00-0-(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))cancellation200
*.f64(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))o*u60
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))overflow6
(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))overflow6
(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))underflow6
sin.f64(sin.f64 (*.f64 (PI.f64) z))sensitivity60
Confusion
Predicted +Predicted -
+60
-20230
Precision
0.23076923076923078
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+600
-200230
Precision?
0.23076923076923078
Recall?
1.0
Freqs
test
numberfreq
0230
120
26
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
369.0ms352×1valid
136.0ms112×2valid
26.0ms48×0valid
Compiler

Compiled 2 038 to 244 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 420.0ms
const: 86.0ms (20.5% of total)
ival-add: 84.0ms (20% of total)
ival-div: 79.0ms (18.8% of total)
adjust: 45.0ms (10.7% of total)
ival-mult: 44.0ms (10.5% of total)
ival-pow: 26.0ms (6.2% of total)
ival-sub: 14.0ms (3.3% of total)
ival-exp: 12.0ms (2.9% of total)
ival-sin: 8.0ms (1.9% of total)
ival-sqrt: 7.0ms (1.7% of total)
ival-neg: 6.0ms (1.4% of total)
ival-pi: 4.0ms (1% of total)
exact: 4.0ms (1% of total)
ival-true: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Compiler

Compiled 75 to 58 computations (22.7% saved)

prune147.0ms (0.1%)

Memory
-31.0MiB live, 7.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
95.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Compiler

Compiled 199 to 118 computations (40.7% saved)

simplify278.0ms (0.2%)

Memory
-32.0MiB live, 437.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff128
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff128
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
Rules
4 890×+-lowering-+.f64
4 890×+-lowering-+.f32
3 854×accelerator-lowering-fma.f32
3 854×accelerator-lowering-fma.f64
3 434×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0921286
12381220
2987982
08499982
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(/ (PI) (sin (* (PI) z)))
(PI)
(sin (* (PI) z))
(* (PI) z)
z
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(+ (- (- 1 z) 1) 7)
(- (- 1 z) 1)
(- 1 z)
1
7
1/2
(+ (- (- 1 z) 1) 1/2)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)))
9999999999998099/10000000000000000
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
6765203681218851/10000000000000
(+ (- (- 1 z) 1) 1)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
-3147848041806007/2500000000000
(+ (- (- 1 z) 1) 2)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
7713234287776531/10000000000000
(+ (- (- 1 z) 1) 3)
3
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
-883075145810703/5000000000000
(+ (- (- 1 z) 1) 4)
4
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
2501468655737381/200000000000000
(+ (- (- 1 z) 1) 5)
5
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
-3464277381643003/25000000000000000
(+ (- (- 1 z) 1) 6)
6
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
2496092394504893/250000000000000000000
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
3764081837873279/25000000000000000000000
(+ (- (- 1 z) 1) 8)
8
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
(PI)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
z
(- 1/2 z)
1/2
(exp (- 15/2 z))
(* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))
(/ (PI) (sin (* (PI) z)))
(sin (* (PI) z))
(* (PI) z)
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))))
9999999999998099/10000000000000000
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(- 1 z)
1
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
(/ 7713234287776531/10000000000000 (- 3 z))
7713234287776531/10000000000000
(- 3 z)
3
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))
(/ -883075145810703/5000000000000 (- 4 z))
-883075145810703/5000000000000
(- 4 z)
4
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))
(/ 2501468655737381/200000000000000 (- 5 z))
2501468655737381/200000000000000
(- 5 z)
5
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
Outputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z)))
(/ (PI) (sin (* (PI) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI)
(PI.f64)
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)
z
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(-.f64 #s(literal 15/2 binary64) z)
(+ (- (- 1 z) 1) 7)
(-.f64 #s(literal 7 binary64) z)
(- (- 1 z) 1)
(-.f64 #s(literal 0 binary64) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
7
#s(literal 7 binary64)
1/2
#s(literal 1/2 binary64)
(+ (- (- 1 z) 1) 1/2)
(-.f64 #s(literal 1/2 binary64) z)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64))))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
(+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64)))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(+ (- (- 1 z) 1) 1)
(-.f64 #s(literal 1 binary64) z)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(+ (- (- 1 z) 1) 2)
(-.f64 #s(literal 2 binary64) z)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(+ (- (- 1 z) 1) 3)
(-.f64 #s(literal 3 binary64) z)
3
#s(literal 3 binary64)
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
-883075145810703/5000000000000
#s(literal -883075145810703/5000000000000 binary64)
(+ (- (- 1 z) 1) 4)
(-.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(+ (- (- 1 z) 1) 5)
(-.f64 #s(literal 5 binary64) z)
5
#s(literal 5 binary64)
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(+ (- (- 1 z) 1) 6)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+ (- (- 1 z) 1) 8)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(pow (- 15/2 z) (- 1/2 z))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(- 15/2 z)
(-.f64 #s(literal 15/2 binary64) z)
15/2
#s(literal 15/2 binary64)
z
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))))
(/ (PI) (sin (* (PI) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))))
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
(/ 6765203681218851/10000000000000 (- 1 z))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
(/ -3147848041806007/2500000000000 (- 2 z))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(- 2 z)
(-.f64 #s(literal 2 binary64) z)
(/ 7713234287776531/10000000000000 (- 3 z))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(- 3 z)
(-.f64 #s(literal 3 binary64) z)
3
#s(literal 3 binary64)
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))
(/ -883075145810703/5000000000000 (- 4 z))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
-883075145810703/5000000000000
#s(literal -883075145810703/5000000000000 binary64)
(- 4 z)
(-.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))
(/ 2501468655737381/200000000000000 (- 5 z))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(- 5 z)
(-.f64 #s(literal 5 binary64) z)
5
#s(literal 5 binary64)
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))
(/ -3464277381643003/25000000000000000 (- 6 z))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(- 6 z)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))
(+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))
(/ 2496092394504893/250000000000000000000 (- 7 z))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(- 7 z)
(-.f64 #s(literal 7 binary64) z)
7
#s(literal 7 binary64)
(/ 3764081837873279/25000000000000000000000 (- 8 z))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(- 8 z)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)

localize766.0ms (0.5%)

Memory
51.6MiB live, 1 229.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
accuracy98.5%
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy96.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy96.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
accuracy95.7%
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy9.3%
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Samples
352.0ms176×1valid
127.0ms56×2valid
17.0ms24×0valid
Compiler

Compiled 1 352 to 94 computations (93% saved)

Precisions
Click to see histograms. Total time spent on operations: 416.0ms
ival-div: 102.0ms (24.5% of total)
ival-add: 84.0ms (20.2% of total)
const: 49.0ms (11.8% of total)
ival-exp: 41.0ms (9.8% of total)
adjust: 39.0ms (9.4% of total)
ival-pow: 38.0ms (9.1% of total)
ival-mult: 26.0ms (6.2% of total)
ival-sub: 24.0ms (5.8% of total)
ival-sqrt: 4.0ms (1% of total)
ival-sin: 4.0ms (1% of total)
ival-pi: 3.0ms (0.7% of total)
exact: 2.0ms (0.5% of total)
ival-neg: 2.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0%)

Memory
-37.3MiB live, 52.3MiB allocated
Counts
11 → 120
Calls
Call 1
Inputs
#<alt (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))>
#<alt (+ (+ (- (- 1 z) 1) 7) 1/2)>
#<alt (+ (- (- 1 z) 1) 7)>
#<alt (- (- 1 z) 1)>
#<alt (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))>
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))>
#<alt (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))>
#<alt (sqrt (* (PI) 2))>
#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))>
#<alt (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))>
#<alt (/ 7713234287776531/10000000000000 (- 3 z))>
Outputs
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))>
#<alt (+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))>
#<alt (+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))>
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt 15/2>
#<alt (+ 15/2 (* -1 z))>
#<alt (+ 15/2 (* -1 z))>
#<alt (+ 15/2 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* z (- (* 15/2 (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))>
#<alt 7>
#<alt (+ 7 (* -1 z))>
#<alt (+ 7 (* -1 z))>
#<alt (+ 7 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* 7 (/ 1 z)) 1))>
#<alt (* z (- (* 7 (/ 1 z)) 1))>
#<alt (* z (- (* 7 (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))>
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)>
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Calls

30 calls:

TimeVariablePointExpression
6.0ms
z
@inf
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
5.0ms
z
@0
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
3.0ms
z
@-inf
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
3.0ms
z
@inf
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
2.0ms
z
@-inf
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))

rewrite536.0ms (0.4%)

Memory
11.6MiB live, 649.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 352×*-lowering-*.f32
4 352×*-lowering-*.f64
3 692×/-lowering-/.f32
3 692×/-lowering-/.f64
2 986×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073185
1593176
27326176
08340176
Stop Event
iter limit
node limit
Counts
11 → 302
Calls
Call 1
Inputs
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(+ (- (- 1 z) 1) 7)
(- (- 1 z) 1)
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(/ 7713234287776531/10000000000000 (- 3 z))
Outputs
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))
(*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64))
(+.f64 #s(literal 7 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 7 binary64))
(+.f64 #s(literal 15/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 15/2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -6 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) #s(literal 13/2 binary64))
(fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 15/2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) #s(literal 13/2 binary64))
(fma.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal 7 binary64))
(fma.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 343 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 #s(literal 49 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 7 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) #s(literal 15/2 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) #s(literal 13/2 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(literal 13/2 binary64))
(fma.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3/2 binary64))) #s(literal 7 binary64))
(fma.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -49 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 15/2 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 13/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) #s(literal 1/8 binary64)) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) #s(literal -1/4 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64))))))
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(-.f64 (+.f64 #s(literal 7 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
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simplify1.2s (0.8%)

Memory
8.0MiB live, 1 323.3MiB allocated
Algorithm
egg-herbie
Rules
15 462×accelerator-lowering-fma.f32
15 462×accelerator-lowering-fma.f64
6 128×*-lowering-*.f32
6 128×*-lowering-*.f64
5 796×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04432990
114052863
245382568
087642464
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
Outputs
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) z))) (*.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 29/225 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))))))))) z)))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (*.f64 z (*.f64 (*.f64 (sqrt.f64 (PI.f64)) z) (+.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 29/225 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))))))) (*.f64 z (+.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64)))))))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (+.f64 (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))))))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (* 15/2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
(* z (- (* 15/2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
(* z (- (* 15/2 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z)))
7
#s(literal 7 binary64)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (* 7 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* z (- (* 7 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* z (- (* 7 (/ 1 z)) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) #s(literal -1106209385320415913103082059/4200000000000000000000000 binary64)))) (*.f64 z (sqrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) z)
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#s(literal 9999999999998099/10000000000000000 binary64)
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#s(literal 9999999999998099/10000000000000000 binary64)
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-11173853963059511/30000000000000
#s(literal -11173853963059511/30000000000000 binary64)
(- (* -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
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(- (* z (- (* -69565428553209127/540000000000000 z) 5154349522119383/22500000000000)) 11173853963059511/30000000000000)
(+.f64 (*.f64 z (+.f64 #s(literal -5154349522119383/22500000000000 binary64) (*.f64 z #s(literal -69565428553209127/540000000000000 binary64)))) #s(literal -11173853963059511/30000000000000 binary64))
(- (* z (- (* z (- (* -224122754235180443/3240000000000000 z) 69565428553209127/540000000000000)) 5154349522119383/22500000000000)) 11173853963059511/30000000000000)
(+.f64 (*.f64 z (+.f64 #s(literal -5154349522119383/22500000000000 binary64) (*.f64 z (+.f64 #s(literal -69565428553209127/540000000000000 binary64) (*.f64 z #s(literal -224122754235180443/3240000000000000 binary64)))))) #s(literal -11173853963059511/30000000000000 binary64))
(/ 4878157879447497/10000000000000 z)
(/.f64 #s(literal 4878157879447497/10000000000000 binary64) z)
(/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 #s(literal 2043081471118463/10000000000000 binary64) z)) z)
(/ (- (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) (/ 19053539921092667/10000000000000 (pow z 2))) z)
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 (+.f64 #s(literal 2043081471118463/10000000000000 binary64) (/.f64 #s(literal -19053539921092667/10000000000000 binary64) z)) z)) z)
(/ (+ 4878157879447497/10000000000000 (+ (* -1 (/ (+ 19053539921092667/10000000000000 (* 107526188432174113/10000000000000 (/ 1 z))) (pow z 2))) (* 2043081471118463/10000000000000 (/ 1 z)))) z)
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 (-.f64 #s(literal 2043081471118463/10000000000000 binary64) (/.f64 (+.f64 #s(literal 19053539921092667/10000000000000 binary64) (/.f64 #s(literal 107526188432174113/10000000000000 binary64) z)) z)) z)) z)
(/ 4878157879447497/10000000000000 z)
(/.f64 #s(literal 4878157879447497/10000000000000 binary64) z)
(/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 #s(literal 2043081471118463/10000000000000 binary64) z)) z)
(* -1 (/ (- (* -1 (/ (- 2043081471118463/10000000000000 (* 19053539921092667/10000000000000 (/ 1 z))) z)) 4878157879447497/10000000000000) z))
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 (+.f64 #s(literal 2043081471118463/10000000000000 binary64) (/.f64 #s(literal -19053539921092667/10000000000000 binary64) z)) z)) z)
(* -1 (/ (- (* -1 (/ (+ 2043081471118463/10000000000000 (* -1 (/ (+ 19053539921092667/10000000000000 (* 107526188432174113/10000000000000 (/ 1 z))) z))) z)) 4878157879447497/10000000000000) z))
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 (-.f64 #s(literal 2043081471118463/10000000000000 binary64) (/.f64 (+.f64 #s(literal 19053539921092667/10000000000000 binary64) (/.f64 #s(literal 107526188432174113/10000000000000 binary64) z)) z)) z)) z)
7713234287776531/30000000000000
#s(literal 7713234287776531/30000000000000 binary64)
(+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))
(+.f64 #s(literal 7713234287776531/30000000000000 binary64) (*.f64 z #s(literal 7713234287776531/90000000000000 binary64)))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z))))
(+.f64 #s(literal 7713234287776531/30000000000000 binary64) (*.f64 z (+.f64 #s(literal 7713234287776531/90000000000000 binary64) (*.f64 z #s(literal 7713234287776531/270000000000000 binary64)))))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z))))))
(+.f64 #s(literal 7713234287776531/30000000000000 binary64) (*.f64 z (+.f64 #s(literal 7713234287776531/90000000000000 binary64) (*.f64 z (+.f64 #s(literal 7713234287776531/270000000000000 binary64) (*.f64 z #s(literal 7713234287776531/810000000000000 binary64)))))))
(/ -7713234287776531/10000000000000 z)
(/.f64 #s(literal -7713234287776531/10000000000000 binary64) z)
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))
(/.f64 (+.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 #s(literal -23139702863329593/10000000000000 binary64) z)) z)
(/ (- (* -1 (/ (+ 23139702863329593/10000000000000 (* 69419108589988779/10000000000000 (/ 1 z))) z)) 7713234287776531/10000000000000) z)
(/.f64 (-.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 (+.f64 #s(literal 23139702863329593/10000000000000 binary64) (/.f64 #s(literal 69419108589988779/10000000000000 binary64) z)) z)) z)
(/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) (pow z 2))) (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z)))) z)
(/.f64 (+.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 (-.f64 #s(literal -23139702863329593/10000000000000 binary64) (/.f64 (+.f64 #s(literal 69419108589988779/10000000000000 binary64) (/.f64 #s(literal 208257325769966337/10000000000000 binary64) z)) z)) z)) z)
(/ -7713234287776531/10000000000000 z)
(/.f64 #s(literal -7713234287776531/10000000000000 binary64) z)
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))
(/.f64 (+.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 #s(literal -23139702863329593/10000000000000 binary64) z)) z)
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
(/.f64 (+.f64 (/.f64 #s(literal 23139702863329593/10000000000000 binary64) z) (+.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 #s(literal 69419108589988779/10000000000000 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
(/.f64 (+.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 (-.f64 #s(literal -23139702863329593/10000000000000 binary64) (/.f64 (+.f64 #s(literal 69419108589988779/10000000000000 binary64) (/.f64 #s(literal 208257325769966337/10000000000000 binary64) z)) z)) z)) z)

eval212.0ms (0.1%)

Memory
-0.1MiB live, 551.3MiB allocated
Compiler

Compiled 121 129 to 5 819 computations (95.2% saved)

prune233.0ms (0.2%)

Memory
7.2MiB live, 355.7MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New98413997
Fresh000
Picked202
Done000
Total98613999
Accuracy
100.0%
Counts
999 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(/.f64 (/.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
97.2%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))) (sin.f64 (*.f64 (PI.f64) z)))
96.1%
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
96.4%
(*.f64 (/.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
94.0%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 7713234287776531/30000000000000 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
95.9%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -5154349522119383/22500000000000 binary64) (*.f64 z #s(literal -69565428553209127/540000000000000 binary64)))) #s(literal -11173853963059511/30000000000000 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
95.7%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z #s(literal -5154349522119383/22500000000000 binary64)) #s(literal -11173853963059511/30000000000000 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
95.1%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -11173853963059511/30000000000000 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
95.3%
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
97.0%
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
94.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 #s(literal 15/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.1%
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
Compiler

Compiled 1 996 to 1 404 computations (29.7% saved)

simplify306.0ms (0.2%)

Memory
48.7MiB live, 623.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff128
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
cost-diff128
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))
cost-diff0
(*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 7713234287776531/30000000000000 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
cost-diff128
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 7713234287776531/30000000000000 binary64))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))))
cost-diff0
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))) (sin.f64 (*.f64 (PI.f64) z)))
Rules
5 616×*-lowering-*.f32
5 616×*-lowering-*.f64
5 510×accelerator-lowering-fma.f32
5 510×accelerator-lowering-fma.f64
3 682×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01152089
13092059
213902000
085152000
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) (sin (* (PI) z)))
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
(PI)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
z
(- 1/2 z)
1/2
(exp (- 15/2 z))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))
9999999999998099/10000000000000000
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(- 1 z)
1
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
(/ 7713234287776531/10000000000000 (- 3 z))
7713234287776531/10000000000000
(- 3 z)
3
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))
(/ -883075145810703/5000000000000 (- 4 z))
-883075145810703/5000000000000
(- 4 z)
4
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))
(/ 2501468655737381/200000000000000 (- 5 z))
2501468655737381/200000000000000
(- 5 z)
5
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(sin (* (PI) z))
(* (PI) z)
(* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))
(/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2)))
(* (sqrt 2) (sqrt 15/2))
(sqrt 2)
2
(sqrt 15/2)
15/2
(* z (exp 15/2))
z
(exp 15/2)
(* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)
(sqrt (PI))
(PI)
1106209385320415913103082059/4200000000000000000000000
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
(PI)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
z
(- 1/2 z)
1/2
(exp (- 15/2 z))
(* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))
(/ (PI) (sin (* (PI) z)))
(sin (* (PI) z))
(* (PI) z)
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000)))
9999999999998099/10000000000000000
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(- 1 z)
1
(+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000)
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
7713234287776531/30000000000000
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))
(/ -883075145810703/5000000000000 (- 4 z))
-883075145810703/5000000000000
(- 4 z)
4
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))
(/ 2501468655737381/200000000000000 (- 5 z))
2501468655737381/200000000000000
(- 5 z)
5
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
(/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))))
(PI)
(* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))
(/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))))
(exp (- 15/2 z))
(- 15/2 z)
15/2
z
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (- 15/2 z) (- 1/2 z))
(- 1/2 z)
1/2
(sin (* (PI) z))
(* (PI) z)
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))
9999999999998099/10000000000000000
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(- 1 z)
1
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
(/ 7713234287776531/10000000000000 (- 3 z))
7713234287776531/10000000000000
(- 3 z)
3
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))
(/ -883075145810703/5000000000000 (- 4 z))
-883075145810703/5000000000000
(- 4 z)
4
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))
(/ 2501468655737381/200000000000000 (- 5 z))
2501468655737381/200000000000000
(- 5 z)
5
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(* (/ (PI) (sin (* (PI) z))) (* (/ (* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(/ (PI) (sin (* (PI) z)))
(PI)
(sin (* (PI) z))
(* (PI) z)
z
(* (/ (* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(/ (* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2)))
(* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))
(+ (- 1 z) 13/2)
(- 1 z)
1
13/2
(+ (- 1 z) -1/2)
-1/2
(exp (+ (- 1 z) 13/2))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)))
9999999999998099/10000000000000000
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
6765203681218851/10000000000000
(+ (- (- 1 z) 1) 1)
(- (- 1 z) 1)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
-3147848041806007/2500000000000
(+ (- (- 1 z) 1) 2)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
7713234287776531/10000000000000
(+ (- (- 1 z) 1) 3)
3
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
-883075145810703/5000000000000
(+ (- (- 1 z) 1) 4)
4
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
2501468655737381/200000000000000
(+ (- (- 1 z) 1) 5)
5
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
-3464277381643003/25000000000000000
(+ (- (- 1 z) 1) 6)
6
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
2496092394504893/250000000000000000000
(+ (- (- 1 z) 1) 7)
7
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
3764081837873279/25000000000000000000000
(+ (- (- 1 z) 1) 8)
8
Outputs
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) (sin (* (PI) z)))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))) (/.f64 (PI.f64) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))) (/.f64 (PI.f64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(pow (- 15/2 z) (- 1/2 z))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(- 15/2 z)
(-.f64 #s(literal 15/2 binary64) z)
15/2
#s(literal 15/2 binary64)
z
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
(*.f64 (PI.f64) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))))
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))
(+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
(/ 6765203681218851/10000000000000 (- 1 z))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
(/ -3147848041806007/2500000000000 (- 2 z))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(- 2 z)
(-.f64 #s(literal 2 binary64) z)
(/ 7713234287776531/10000000000000 (- 3 z))
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#s(literal -883075145810703/5000000000000 binary64)
(+ (- (- 1 z) 1) 4)
(-.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(+ (- (- 1 z) 1) 5)
(-.f64 #s(literal 5 binary64) z)
5
#s(literal 5 binary64)
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(+ (- (- 1 z) 1) 6)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(+ (- (- 1 z) 1) 7)
(-.f64 #s(literal 7 binary64) z)
7
#s(literal 7 binary64)
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+ (- (- 1 z) 1) 8)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)

localize1.1s (0.7%)

Memory
-19.2MiB live, 2 393.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy97.0%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))
accuracy95.7%
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy9.3%
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy98.5%
(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))
accuracy98.5%
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy98.1%
(/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
accuracy98.5%
(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))
accuracy98.5%
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 7713234287776531/30000000000000 binary64))
accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy97.0%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
accuracy99.6%
(PI.f64)
accuracy99.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))
accuracy99.4%
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy98.5%
(*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
accuracy98.5%
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy97.0%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
Samples
365.0ms176×1valid
146.0ms56×2valid
23.0ms23×0valid
1.0ms0exit
Compiler

Compiled 2 317 to 117 computations (95% saved)

Precisions
Click to see histograms. Total time spent on operations: 394.0ms
ival-div: 91.0ms (23.1% of total)
ival-add: 62.0ms (15.7% of total)
const: 60.0ms (15.2% of total)
ival-mult: 46.0ms (11.7% of total)
adjust: 44.0ms (11.2% of total)
ival-sub: 30.0ms (7.6% of total)
ival-pow: 21.0ms (5.3% of total)
ival-exp: 17.0ms (4.3% of total)
ival-sqrt: 13.0ms (3.3% of total)
ival-sin: 4.0ms (1% of total)
ival-pi: 3.0ms (0.8% of total)
exact: 3.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (0%)

Memory
-2.6MiB live, 115.0MiB allocated
Counts
27 → 264
Calls
Call 1
Inputs
#<alt (/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) (sin (* (PI) z)))>
#<alt (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))))>
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))>
#<alt (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))>
#<alt (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))>
#<alt (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2)))>
#<alt (* (sqrt 2) (sqrt 15/2))>
#<alt (sqrt 2)>
#<alt (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000)))>
#<alt (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))>
#<alt (* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))>
#<alt (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))))>
#<alt (PI)>
#<alt (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))>
#<alt (+ (- 1 z) 13/2)>
#<alt (+ (- 1 z) -1/2)>
#<alt (+ (- (- 1 z) 1) 1)>
#<alt (- (- 1 z) 1)>
#<alt (sqrt (* (PI) 2))>
#<alt (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))>
#<alt (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))>
#<alt (sqrt (PI))>
#<alt (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000)>
#<alt (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))>
#<alt (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))))>
#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))>
#<alt (/ (* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2)))>
Outputs
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)>
#<alt (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))>
#<alt (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))>
#<alt (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))))>
#<alt (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 3) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))))))>
#<alt (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))>
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#<alt (+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))>
#<alt (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))>
#<alt (+ (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (PI))))>
#<alt (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (PI))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))>
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (+ (* -1/6 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
Calls

66 calls:

TimeVariablePointExpression
6.0ms
z
@0
(+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000)
3.0ms
z
@inf
(* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))
2.0ms
z
@0
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
2.0ms
z
@-inf
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))))
2.0ms
z
@-inf
(* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))

rewrite481.0ms (0.3%)

Memory
-0.2MiB live, 888.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 152×*-lowering-*.f32
5 152×*-lowering-*.f64
4 078×/-lowering-/.f32
4 078×/-lowering-/.f64
3 008×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095576
1730564
08340564
Stop Event
iter limit
node limit
Counts
27 → 805
Calls
Call 1
Inputs
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) (sin (* (PI) z)))
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))
(/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2)))
(* (sqrt 2) (sqrt 15/2))
(sqrt 2)
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000)))
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
(* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
(/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))))
(PI)
(* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))
(+ (- 1 z) 13/2)
(+ (- 1 z) -1/2)
(+ (- (- 1 z) 1) 1)
(- (- 1 z) 1)
(sqrt (* (PI) 2))
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))
(sqrt (PI))
(+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000)
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))
(/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(/ (* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2)))
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) #s(literal 9999999999998099/10000000000000000 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))))))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))))) (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 (/.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (PI.f64))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))) (/.f64 (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (PI.f64))))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))) (/.f64 (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (PI.f64))) (/.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (PI.f64))))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))) (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))))
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simplify625.0ms (0.4%)

Memory
20.3MiB live, 1 129.6MiB allocated
Algorithm
egg-herbie
Rules
9 556×accelerator-lowering-fma.f32
9 556×accelerator-lowering-fma.f64
7 262×*-lowering-*.f32
7 262×*-lowering-*.f64
3 816×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07819512
124429207
277009205
080108848
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
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(+ (* z (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (+ (* -1/6 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
Outputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
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(+.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64))))))) (*.f64 z (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64)))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64))))))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64))))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 z (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64)))))))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))

eval728.0ms (0.5%)

Memory
-232.1MiB live, 796.7MiB allocated
Compiler

Compiled 185 849 to 8 161 computations (95.6% saved)

prune233.0ms (0.2%)

Memory
5.4MiB live, 553.6MiB allocated
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New1 831271 858
Fresh628
Picked505
Done000
Total1 842291 871
Accuracy
100.0%
Counts
1 871 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(/.f64 (/.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
95.0%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z))) (*.f64 (*.f64 z z) (*.f64 (PI.f64) (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z)))))) (sin.f64 (*.f64 (PI.f64) z)))
94.9%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (PI.f64)) (*.f64 z (*.f64 (PI.f64) (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) z)))))) (sin.f64 (*.f64 (PI.f64) z)))
94.7%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))
97.0%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z)))
96.9%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z)))
96.7%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64)) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z)))
96.6%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z #s(literal -5154349522119383/22500000000000 binary64)) #s(literal -11173853963059511/30000000000000 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))) (sin.f64 (*.f64 (PI.f64) z)))
94.8%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)) (exp.f64 #s(literal 15/2 binary64)))
95.4%
(*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
95.9%
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
95.9%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -5154349522119383/22500000000000 binary64) (*.f64 z #s(literal -69565428553209127/540000000000000 binary64)))) #s(literal -11173853963059511/30000000000000 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))
95.3%
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
94.9%
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
96.1%
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (exp.f64 #s(literal 15/2 binary64))))
96.0%
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) z) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
96.8%
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))
96.7%
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))
96.0%
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))
94.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (exp.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 15 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
95.2%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
95.3%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
95.8%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
95.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
95.3%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))))
95.5%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
94.9%
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
Compiler

Compiled 2 276 to 1 694 computations (25.6% saved)

simplify421.0ms (0.3%)

Memory
7.2MiB live, 638.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))
cost-diff128
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z))))
cost-diff0
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
cost-diff0
(sqrt.f64 #s(literal 15 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))
cost-diff0
(sqrt.f64 #s(literal 15 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))
cost-diff0
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))))
cost-diff0
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z)))
cost-diff128
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))
Rules
8 078×accelerator-lowering-fma.f32
8 078×accelerator-lowering-fma.f64
6 194×*-lowering-*.f32
6 194×*-lowering-*.f64
3 948×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067957
1176943
2663941
33460941
46966941
57582941
08001895
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) (sin (* (PI) z)))
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
(PI)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
z
(- 1/2 z)
1/2
(exp (- 15/2 z))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))
9999999999998099/10000000000000000
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(- 1 z)
1
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
(/ 7713234287776531/10000000000000 (- 3 z))
7713234287776531/10000000000000
(- 3 z)
3
(+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)
(* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))))
(+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))
-7438431377385067353648047161/705600000000000000000000000
(* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))
(+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))
-315341357520700009111955479981/118540800000000000000000000000
(* z -13342905177403410807236385630001/19914854400000000000000000000000)
-13342905177403410807236385630001/19914854400000000000000000000000
-175036605963169168476917941/4200000000000000000000000
(sin (* (PI) z))
(* (PI) z)
(* (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)))
(* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000)
(/ (sqrt 15) (* z (exp 15/2)))
(sqrt 15)
15
(* z (exp 15/2))
z
(exp 15/2)
15/2
1106209385320415913103082059/4200000000000000000000000
(sqrt (PI))
(PI)
(* (sqrt 15) (* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)))
(sqrt 15)
15
(* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))
(/ 1 (* z (exp 15/2)))
1
(* z (exp 15/2))
z
(exp 15/2)
15/2
(* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)
(sqrt (PI))
(PI)
1106209385320415913103082059/4200000000000000000000000
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z)))
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
(PI)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
z
(- 1/2 z)
1/2
(exp (- 15/2 z))
(* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))
1106209385320415913103082059/4200000000000000000000000
(* 102757979785251069442117317613/235200000000000000000000000 z)
102757979785251069442117317613/235200000000000000000000000
(sin (* (PI) z))
(* (PI) z)
(* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))
(/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))))
(PI)
(* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))
(/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))))
(exp (- 15/2 z))
(- 15/2 z)
15/2
z
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (- 15/2 z) (- 1/2 z))
(- 1/2 z)
1/2
(sin (* (PI) z))
(* (PI) z)
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))
9999999999998099/10000000000000000
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(- 1 z)
1
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
(/ 7713234287776531/10000000000000 (- 3 z))
7713234287776531/10000000000000
(- 3 z)
3
(+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)
(* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))))
(+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))
-7438431377385067353648047161/705600000000000000000000000
(* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))
(+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))
-315341357520700009111955479981/118540800000000000000000000000
(* z -13342905177403410807236385630001/19914854400000000000000000000000)
-13342905177403410807236385630001/19914854400000000000000000000000
-175036605963169168476917941/4200000000000000000000000
Outputs
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) (sin (* (PI) z)))
(/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64))))))) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) z))))
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64))))))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(pow (- 15/2 z) (- 1/2 z))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(- 15/2 z)
(-.f64 #s(literal 15/2 binary64) z)
15/2
#s(literal 15/2 binary64)
z
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64)))))
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) (+.f64 #s(literal -175036605963169168476917941/4200000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
(/ 6765203681218851/10000000000000 (- 1 z))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
(/ -3147848041806007/2500000000000 (- 2 z))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(- 2 z)
(-.f64 #s(literal 2 binary64) z)
(/ 7713234287776531/10000000000000 (- 3 z))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(- 3 z)
(-.f64 #s(literal 3 binary64) z)
3
#s(literal 3 binary64)
(+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)
(+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))
(* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))))
(*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))))))
(+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))
(+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))
-7438431377385067353648047161/705600000000000000000000000
#s(literal -7438431377385067353648047161/705600000000000000000000000 binary64)
(* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))
(*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))))
(+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))
(+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))
-315341357520700009111955479981/118540800000000000000000000000
#s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)
(* z -13342905177403410807236385630001/19914854400000000000000000000000)
(*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))
-13342905177403410807236385630001/19914854400000000000000000000000
#s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)
-175036605963169168476917941/4200000000000000000000000
#s(literal -175036605963169168476917941/4200000000000000000000000 binary64)
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)
(* (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64)))
(* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000)
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))
(/ (sqrt 15) (* z (exp 15/2)))
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))
(sqrt 15)
(sqrt.f64 #s(literal 15 binary64))
15
#s(literal 15 binary64)
(* z (exp 15/2))
(*.f64 z (exp.f64 #s(literal 15/2 binary64)))
z
(exp 15/2)
(exp.f64 #s(literal 15/2 binary64))
15/2
#s(literal 15/2 binary64)
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(* (sqrt 15) (* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64)))
(sqrt 15)
(sqrt.f64 #s(literal 15 binary64))
15
#s(literal 15 binary64)
(* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))
(/ 1 (* z (exp 15/2)))
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
1
#s(literal 1 binary64)
(* z (exp 15/2))
(*.f64 z (exp.f64 #s(literal 15/2 binary64)))
z
(exp 15/2)
(exp.f64 #s(literal 15/2 binary64))
15/2
#s(literal 15/2 binary64)
(* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(pow (- 15/2 z) (- 1/2 z))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(- 15/2 z)
(-.f64 #s(literal 15/2 binary64) z)
15/2
#s(literal 15/2 binary64)
z
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))
(*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
(* 102757979785251069442117317613/235200000000000000000000000 z)
(*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))
102757979785251069442117317613/235200000000000000000000000
#s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)
(* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))
(/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64))))))) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) z))))
(/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))))
(/.f64 (PI.f64) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))))
(PI)
(PI.f64)
(* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))
(*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))))
(/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(- 15/2 z)
(-.f64 #s(literal 15/2 binary64) z)
15/2
#s(literal 15/2 binary64)
z
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (- 15/2 z) (- 1/2 z))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) (+.f64 #s(literal -175036605963169168476917941/4200000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
(/ 6765203681218851/10000000000000 (- 1 z))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
(/ -3147848041806007/2500000000000 (- 2 z))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(- 2 z)
(-.f64 #s(literal 2 binary64) z)
(/ 7713234287776531/10000000000000 (- 3 z))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(- 3 z)
(-.f64 #s(literal 3 binary64) z)
3
#s(literal 3 binary64)
(+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)
(+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))
(* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))))
(*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))))))
(+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))
(+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))
-7438431377385067353648047161/705600000000000000000000000
#s(literal -7438431377385067353648047161/705600000000000000000000000 binary64)
(* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))
(*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))))
(+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))
(+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))
-315341357520700009111955479981/118540800000000000000000000000
#s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)
(* z -13342905177403410807236385630001/19914854400000000000000000000000)
(*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))
-13342905177403410807236385630001/19914854400000000000000000000000
#s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)
-175036605963169168476917941/4200000000000000000000000
#s(literal -175036605963169168476917941/4200000000000000000000000 binary64)

localize488.0ms (0.3%)

Memory
50.1MiB live, 739.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
accuracy98.5%
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy98.1%
(/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
accuracy99.4%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))
accuracy98.5%
(*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))
accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy97.0%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))
accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy99.5%
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))
accuracy99.5%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
accuracy99.0%
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy98.5%
(*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))
accuracy98.5%
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy97.0%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
Samples
201.0ms255×0valid
1.0ms0exit
Compiler

Compiled 961 to 69 computations (92.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult: 53.0ms (36.5% of total)
const: 36.0ms (24.8% of total)
ival-div: 15.0ms (10.3% of total)
ival-sqrt: 11.0ms (7.6% of total)
ival-add: 8.0ms (5.5% of total)
ival-sub: 6.0ms (4.1% of total)
ival-pow: 6.0ms (4.1% of total)
ival-exp: 5.0ms (3.4% of total)
ival-sin: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0%)

Memory
1.8MiB live, 77.3MiB allocated
Counts
24 → 240
Calls
Call 1
Inputs
#<alt (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))>
#<alt (/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) (sin (* (PI) z)))>
#<alt (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))))>
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))>
#<alt (* (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)))>
#<alt (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000)>
#<alt (/ (sqrt 15) (* z (exp 15/2)))>
#<alt (sqrt 15)>
#<alt (/ 1 (* z (exp 15/2)))>
#<alt (* (sqrt 15) (* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)))>
#<alt (* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))>
#<alt (/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z)))>
#<alt (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))))>
#<alt (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))>
#<alt (* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))>
#<alt (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))))>
#<alt (PI)>
#<alt (sqrt (* (PI) 2))>
#<alt (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))>
#<alt (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))>
#<alt (sqrt (PI))>
#<alt (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))>
#<alt (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))))>
#<alt (/ 7713234287776531/10000000000000 (- 3 z))>
Outputs
#<alt 1106209385320415913103082059/4200000000000000000000000>
#<alt (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))>
#<alt (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z))))>
#<alt (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 4027292589444183035165374538123333/6638284800000000000000000000000 z))))))>
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3))>
#<alt (* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))>
#<alt (* (pow z 3) (- (* -1 (/ (+ 315341357520700009111955479981/118540800000000000000000000000 (* 7438431377385067353648047161/705600000000000000000000000 (/ 1 z))) z)) 13342905177403410807236385630001/19914854400000000000000000000000))>
#<alt (* (pow z 3) (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) (pow z 2))) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))>
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3))>
#<alt (* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))>
#<alt (* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (+ (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)) (/ 7438431377385067353648047161/705600000000000000000000000 (pow z 2))))))>
#<alt (* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) z)) 315341357520700009111955479981/118540800000000000000000000000) z)))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)>
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (/ (* (pow z 3) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (* (exp (- 15/2 z)) (sin (* z (PI))))) (sqrt (pow (PI) 3))))>
#<alt (* (pow z 3) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))>
#<alt (* (pow z 3) (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))))>
#<alt (* (pow z 3) (+ (* -170836605963169966896917941/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 3) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))))>
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (/ (* (pow z 3) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))) (sqrt (pow (PI) 3))))>
#<alt (* -1 (* (pow z 3) (+ (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* 315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -315341357520700009111955479981/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* -1 (/ (+ (* 7438431377385067353648047161/705600000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* 170836605963169966896917941/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))) z))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))>
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (pow (PI) 3))))>
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (pow (PI) 3))))))>
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (exp 15/2)) (+ (* -1106209385320415913103082059/25200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (* 1/2 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))>
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (/ (* (pow z 3) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (exp (- 15/2 z))) (sqrt (pow (PI) 3))))>
#<alt (* (pow z 3) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (exp (- 15/2 z)))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z)))))))>
#<alt (* (pow z 3) (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (exp (- 15/2 z)))) (sqrt (pow (PI) 3)))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (exp (- 15/2 z)))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))))))>
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#<alt (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))>
#<alt (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))>
#<alt (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))>
#<alt (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))>
#<alt (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))>
#<alt (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))>
#<alt (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))>
#<alt (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))>
#<alt -11173853963059511/30000000000000>
#<alt (- (* -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)>
#<alt (- (* z (- (* -69565428553209127/540000000000000 z) 5154349522119383/22500000000000)) 11173853963059511/30000000000000)>
#<alt (- (* z (- (* z (- (* -224122754235180443/3240000000000000 z) 69565428553209127/540000000000000)) 5154349522119383/22500000000000)) 11173853963059511/30000000000000)>
#<alt (/ 4878157879447497/10000000000000 z)>
#<alt (/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z)>
#<alt (/ (- (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) (/ 19053539921092667/10000000000000 (pow z 2))) z)>
#<alt (/ (+ 4878157879447497/10000000000000 (+ (* -1 (/ (+ 19053539921092667/10000000000000 (* 107526188432174113/10000000000000 (/ 1 z))) (pow z 2))) (* 2043081471118463/10000000000000 (/ 1 z)))) z)>
#<alt (/ 4878157879447497/10000000000000 z)>
#<alt (/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z)>
#<alt (* -1 (/ (- (* -1 (/ (- 2043081471118463/10000000000000 (* 19053539921092667/10000000000000 (/ 1 z))) z)) 4878157879447497/10000000000000) z))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2043081471118463/10000000000000 (* -1 (/ (+ 19053539921092667/10000000000000 (* 107526188432174113/10000000000000 (/ 1 z))) z))) z)) 4878157879447497/10000000000000) z))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (PI))>
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* 102757979785251069442117317613/235200000000000000000000000 (* z (PI))))>
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* z (+ (* 102757979785251069442117317613/235200000000000000000000000 (PI)) (* 64608921419941589693928044520019/118540800000000000000000000000 (* z (PI))))))>
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* z (+ (* 102757979785251069442117317613/235200000000000000000000000 (PI)) (* z (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (PI)) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (* z (PI))))))))>
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (pow z 3) (PI)))>
#<alt (* (pow z 3) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (/ (PI) z)) (* -13342905177403410807236385630001/19914854400000000000000000000000 (PI))))>
#<alt (* (pow z 3) (+ (* -7438431377385067353648047161/705600000000000000000000000 (/ (PI) (pow z 2))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (/ (PI) z)) (* -13342905177403410807236385630001/19914854400000000000000000000000 (PI)))))>
#<alt (* (pow z 3) (+ (* -170836605963169966896917941/4200000000000000000000000 (/ (PI) (pow z 3))) (+ (* -7438431377385067353648047161/705600000000000000000000000 (/ (PI) (pow z 2))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (/ (PI) z)) (* -13342905177403410807236385630001/19914854400000000000000000000000 (PI))))))>
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (pow z 3) (PI)))>
#<alt (* -1 (* (pow z 3) (+ (* 13342905177403410807236385630001/19914854400000000000000000000000 (PI)) (* 315341357520700009111955479981/118540800000000000000000000000 (/ (PI) z)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -7438431377385067353648047161/705600000000000000000000000 (/ (PI) z)) (* -315341357520700009111955479981/118540800000000000000000000000 (PI))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (PI)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -315341357520700009111955479981/118540800000000000000000000000 (PI)) (* -1 (/ (+ (* 7438431377385067353648047161/705600000000000000000000000 (PI)) (* 170836605963169966896917941/4200000000000000000000000 (/ (PI) z))) z))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (PI)))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (PI))>
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* 102757979785251069442117317613/235200000000000000000000000 (* z (PI))))>
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* 102757979785251069442117317613/235200000000000000000000000 (* z (PI))))>
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* 102757979785251069442117317613/235200000000000000000000000 (* z (PI))))>
#<alt (* 102757979785251069442117317613/235200000000000000000000000 (* z (PI)))>
#<alt (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)) (* 102757979785251069442117317613/235200000000000000000000000 (PI))))>
#<alt (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)) (* 102757979785251069442117317613/235200000000000000000000000 (PI))))>
#<alt (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)) (* 102757979785251069442117317613/235200000000000000000000000 (PI))))>
#<alt (* 102757979785251069442117317613/235200000000000000000000000 (* z (PI)))>
#<alt (* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (PI)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)))))>
#<alt (* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (PI)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)))))>
#<alt (* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (PI)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (sqrt (/ 1 (PI)))))>
#<alt (+ (* z (+ (* (sqrt (/ 1 (PI))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (* (* z (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))))>
#<alt (+ (* z (+ (* z (+ (* (sqrt (/ 1 (PI))) (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (* (* z (- (* -1/6 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (/ (* (exp 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))) (* (sqrt 2) (sqrt 15/2))))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))))) (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt 7713234287776531/30000000000000>
#<alt (+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))>
#<alt (+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z))))>
#<alt (+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z))))))>
#<alt (/ -7713234287776531/10000000000000 z)>
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))>
#<alt (/ (- (* -1 (/ (+ 23139702863329593/10000000000000 (* 69419108589988779/10000000000000 (/ 1 z))) z)) 7713234287776531/10000000000000) z)>
#<alt (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) (pow z 2))) (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z)))) z)>
#<alt (/ -7713234287776531/10000000000000 z)>
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))>
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))>
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
z
@inf
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) (sin (* (PI) z)))
4.0ms
z
@0
(* (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)))
3.0ms
z
@0
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))))
2.0ms
z
@0
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z)))
2.0ms
z
@-inf
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z)))

rewrite488.0ms (0.3%)

Memory
-36.8MiB live, 683.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 490×*-lowering-*.f32
4 490×*-lowering-*.f64
3 188×pow-lowering-pow.f64
3 188×pow-lowering-pow.f32
3 170×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067451
1438439
24533437
08427419
Stop Event
iter limit
node limit
Counts
24 → 775
Calls
Call 1
Inputs
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) (sin (* (PI) z)))
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)))
(* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000)
(/ (sqrt 15) (* z (exp 15/2)))
(sqrt 15)
(/ 1 (* z (exp 15/2)))
(* (sqrt 15) (* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)))
(* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z)))
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))
(/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))))
(PI)
(sqrt (* (PI) 2))
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))
(sqrt (PI))
(* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))
(/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))))
(/ 7713234287776531/10000000000000 (- 3 z))
Outputs
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 #s(literal 15/2 binary64))) #s(literal -1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64))))
(/.f64 #s(literal -7713234287776531/10000000000000 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) z)))
(pow.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
(*.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) z)))
(*.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 7713234287776531/10000000000000 binary64))
(*.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 27 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 9 binary64) (*.f64 z (+.f64 z #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 9 binary64) (*.f64 z z))) (+.f64 z #s(literal 3 binary64)))

simplify27.8s (18.2%)

Memory
5.4MiB live, 838.2MiB allocated
Algorithm
egg-herbie
Rules
8 864×accelerator-lowering-fma.f32
8 864×accelerator-lowering-fma.f64
8 478×*-lowering-*.f32
8 478×*-lowering-*.f64
3 282×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07269184
124708864
081408528
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
1106209385320415913103082059/4200000000000000000000000
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 4027292589444183035165374538123333/6638284800000000000000000000000 z))))))
(* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3))
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))
(* (pow z 3) (- (* -1 (/ (+ 315341357520700009111955479981/118540800000000000000000000000 (* 7438431377385067353648047161/705600000000000000000000000 (/ 1 z))) z)) 13342905177403410807236385630001/19914854400000000000000000000000))
(* (pow z 3) (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) (pow z 2))) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))
(* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3))
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (+ (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)) (/ 7438431377385067353648047161/705600000000000000000000000 (pow z 2))))))
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) z)) 315341357520700009111955479981/118540800000000000000000000000) z)))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)
(* -13342905177403410807236385630001/19914854400000000000000000000000 (* (/ (* (pow z 3) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (* (exp (- 15/2 z)) (sin (* z (PI))))) (sqrt (pow (PI) 3))))
(* (pow z 3) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))
(* (pow z 3) (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))))
(* (pow z 3) (+ (* -170836605963169966896917941/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 3) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))))
(* -13342905177403410807236385630001/19914854400000000000000000000000 (* (/ (* (pow z 3) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))) (sqrt (pow (PI) 3))))
(* -1 (* (pow z 3) (+ (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* 315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -315341357520700009111955479981/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* -1 (/ (+ (* 7438431377385067353648047161/705600000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* 170836605963169966896917941/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))) z))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (pow (PI) 3))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (pow (PI) 3))))))
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(* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI)))
(/ (+ (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* (PI) (exp 15/2))) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* (PI) (exp 15/2))) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* (PI) (exp 15/2))) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))))) (sqrt (pow (PI) 3))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) z)
(/ (+ (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* (PI) (exp 15/2))) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* (PI) (exp 15/2))) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))))) (+ (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* (PI) (exp 15/2))) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* (PI) (exp 15/2))) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) z)
(* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))
(* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))
(* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))
(* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))
(* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))
(* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))
(* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))
(* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))
-11173853963059511/30000000000000
(- (* -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(- (* z (- (* -69565428553209127/540000000000000 z) 5154349522119383/22500000000000)) 11173853963059511/30000000000000)
(- (* z (- (* z (- (* -224122754235180443/3240000000000000 z) 69565428553209127/540000000000000)) 5154349522119383/22500000000000)) 11173853963059511/30000000000000)
(/ 4878157879447497/10000000000000 z)
(/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z)
(/ (- (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) (/ 19053539921092667/10000000000000 (pow z 2))) z)
(/ (+ 4878157879447497/10000000000000 (+ (* -1 (/ (+ 19053539921092667/10000000000000 (* 107526188432174113/10000000000000 (/ 1 z))) (pow z 2))) (* 2043081471118463/10000000000000 (/ 1 z)))) z)
(/ 4878157879447497/10000000000000 z)
(/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z)
(* -1 (/ (- (* -1 (/ (- 2043081471118463/10000000000000 (* 19053539921092667/10000000000000 (/ 1 z))) z)) 4878157879447497/10000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 2043081471118463/10000000000000 (* -1 (/ (+ 19053539921092667/10000000000000 (* 107526188432174113/10000000000000 (/ 1 z))) z))) z)) 4878157879447497/10000000000000) z))
(* 1106209385320415913103082059/4200000000000000000000000 (PI))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* 102757979785251069442117317613/235200000000000000000000000 (* z (PI))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* z (+ (* 102757979785251069442117317613/235200000000000000000000000 (PI)) (* 64608921419941589693928044520019/118540800000000000000000000000 (* z (PI))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* z (+ (* 102757979785251069442117317613/235200000000000000000000000 (PI)) (* z (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (PI)) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (* z (PI))))))))
(* -13342905177403410807236385630001/19914854400000000000000000000000 (* (pow z 3) (PI)))
(* (pow z 3) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (/ (PI) z)) (* -13342905177403410807236385630001/19914854400000000000000000000000 (PI))))
(* (pow z 3) (+ (* -7438431377385067353648047161/705600000000000000000000000 (/ (PI) (pow z 2))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (/ (PI) z)) (* -13342905177403410807236385630001/19914854400000000000000000000000 (PI)))))
(* (pow z 3) (+ (* -170836605963169966896917941/4200000000000000000000000 (/ (PI) (pow z 3))) (+ (* -7438431377385067353648047161/705600000000000000000000000 (/ (PI) (pow z 2))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (/ (PI) z)) (* -13342905177403410807236385630001/19914854400000000000000000000000 (PI))))))
(* -13342905177403410807236385630001/19914854400000000000000000000000 (* (pow z 3) (PI)))
(* -1 (* (pow z 3) (+ (* 13342905177403410807236385630001/19914854400000000000000000000000 (PI)) (* 315341357520700009111955479981/118540800000000000000000000000 (/ (PI) z)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -7438431377385067353648047161/705600000000000000000000000 (/ (PI) z)) (* -315341357520700009111955479981/118540800000000000000000000000 (PI))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (PI)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -315341357520700009111955479981/118540800000000000000000000000 (PI)) (* -1 (/ (+ (* 7438431377385067353648047161/705600000000000000000000000 (PI)) (* 170836605963169966896917941/4200000000000000000000000 (/ (PI) z))) z))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (PI)))))
(* 1106209385320415913103082059/4200000000000000000000000 (PI))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* 102757979785251069442117317613/235200000000000000000000000 (* z (PI))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* 102757979785251069442117317613/235200000000000000000000000 (* z (PI))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (PI)) (* 102757979785251069442117317613/235200000000000000000000000 (* z (PI))))
(* 102757979785251069442117317613/235200000000000000000000000 (* z (PI)))
(* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)) (* 102757979785251069442117317613/235200000000000000000000000 (PI))))
(* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)) (* 102757979785251069442117317613/235200000000000000000000000 (PI))))
(* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)) (* 102757979785251069442117317613/235200000000000000000000000 (PI))))
(* 102757979785251069442117317613/235200000000000000000000000 (* z (PI)))
(* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (PI)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)))))
(* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (PI)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)))))
(* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (PI)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (PI) z)))))
(* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (sqrt (/ 1 (PI)))))
(+ (* z (+ (* (sqrt (/ 1 (PI))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (* (* z (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* z (+ (* z (+ (* (sqrt (/ 1 (PI))) (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (* (* z (- (* -1/6 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (/ (* (exp 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))) (* (sqrt 2) (sqrt 15/2))))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))))) (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))))
(* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))
(* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))
(* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))
(* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))
(* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
7713234287776531/30000000000000
(+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z))))
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z))))))
(/ -7713234287776531/10000000000000 z)
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))
(/ (- (* -1 (/ (+ 23139702863329593/10000000000000 (* 69419108589988779/10000000000000 (/ 1 z))) z)) 7713234287776531/10000000000000) z)
(/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) (pow z 2))) (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z)))) z)
(/ -7713234287776531/10000000000000 z)
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
Outputs
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
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(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z))))
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 4027292589444183035165374538123333/6638284800000000000000000000000 z))))))
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))))))
(* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3))
(*.f64 z (*.f64 (*.f64 z z) #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))
(*.f64 (+.f64 #s(literal 13342905177403410807236385630001/19914854400000000000000000000000 binary64) (/.f64 #s(literal 315341357520700009111955479981/118540800000000000000000000000 binary64) z)) (neg.f64 (*.f64 z (*.f64 z z))))
(* (pow z 3) (- (* -1 (/ (+ 315341357520700009111955479981/118540800000000000000000000000 (* 7438431377385067353648047161/705600000000000000000000000 (/ 1 z))) z)) 13342905177403410807236385630001/19914854400000000000000000000000))
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(* (pow z 3) (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) (pow z 2))) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))
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(* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3))
(*.f64 z (*.f64 (*.f64 z z) #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))
(*.f64 (+.f64 #s(literal 13342905177403410807236385630001/19914854400000000000000000000000 binary64) (/.f64 #s(literal 315341357520700009111955479981/118540800000000000000000000000 binary64) z)) (neg.f64 (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (+ (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)) (/ 7438431377385067353648047161/705600000000000000000000000 (pow z 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 315341357520700009111955479981/118540800000000000000000000000 binary64) z) (+.f64 #s(literal 13342905177403410807236385630001/19914854400000000000000000000000 binary64) (/.f64 #s(literal 7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) z)) 315341357520700009111955479981/118540800000000000000000000000) z)))))
(*.f64 (-.f64 #s(literal 13342905177403410807236385630001/19914854400000000000000000000000 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 7438431377385067353648047161/705600000000000000000000000 binary64) (/.f64 #s(literal 170836605963169966896917941/4200000000000000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z)) #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)) z)) (neg.f64 (*.f64 z (*.f64 z z))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
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(/.f64 (*.f64 (+.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 #s(literal 23139702863329593/10000000000000 binary64) z)) #s(literal -1 binary64)) z)
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))
(/.f64 (+.f64 (/.f64 #s(literal 23139702863329593/10000000000000 binary64) z) (+.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 #s(literal 69419108589988779/10000000000000 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
(/.f64 (-.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 69419108589988779/10000000000000 binary64) (/.f64 #s(literal 208257325769966337/10000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z)) #s(literal -23139702863329593/10000000000000 binary64)) z)) (-.f64 #s(literal 0 binary64) z))

eval24.2s (15.9%)

Memory
29.2MiB live, 445.1MiB allocated
Compiler

Compiled 94 374 to 5 160 computations (94.5% saved)

prune259.0ms (0.2%)

Memory
-40.5MiB live, 392.6MiB allocated
Pruning

39 alts after pruning (38 fresh and 1 done)

PrunedKeptTotal
New1 648291 677
Fresh15924
Picked415
Done000
Total1 667391 706
Accuracy
100.0%
Counts
1 706 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(/.f64 (/.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
95.8%
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (-.f64 #s(literal 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 z z) #s(literal 10559202409546067423540508137614922007509279127314320017769/55319040000000000000000000000000000000000000000000000 binary64)))) (-.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (sin.f64 (*.f64 (PI.f64) z)))
95.0%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z))) (*.f64 (*.f64 z z) (*.f64 (PI.f64) (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (sin.f64 (*.f64 (PI.f64) z)))
94.9%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (PI.f64)) (*.f64 z (*.f64 (PI.f64) (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))) (sin.f64 (*.f64 (PI.f64) z)))
97.0%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64)) (PI.f64))) (sin.f64 (*.f64 (PI.f64) z)))
95.2%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z)))
95.0%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))))) (sin.f64 (*.f64 (PI.f64) z)))
94.9%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))) (sin.f64 (*.f64 (PI.f64) z)))
97.0%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z)))
96.9%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z)))
96.7%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64)) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z)))
97.0%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64))))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z)))
94.7%
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (PI.f64)) (sin.f64 (*.f64 (PI.f64) z)))
95.5%
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (*.f64 (-.f64 #s(literal 15/2 binary64) z) #s(literal -1 binary64)))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))
97.0%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64)) (PI.f64)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))
94.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (sin.f64 (*.f64 z (PI.f64))))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
94.2%
(/.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))
96.2%
(/.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z)))
94.9%
(/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
94.7%
(*.f64 (pow.f64 (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
95.9%
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))
96.1%
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (exp.f64 #s(literal 15/2 binary64))))
95.8%
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))))
95.6%
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))
96.7%
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))
96.0%
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))
94.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (exp.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 15 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
94.6%
(*.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
95.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
95.3%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
94.8%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (PI.f64)))
95.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
95.7%
(*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal -15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
95.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (sqrt.f64 (PI.f64)))
95.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
96.1%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) z))
96.1%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64)))))
95.7%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))
Compiler

Compiled 2 949 to 2 184 computations (25.9% saved)

simplify53.6s (35.1%)

Memory
20.5MiB live, 323.7MiB allocated
Algorithm
egg-herbie
Rules
6 612×*-lowering-*.f32
6 612×*-lowering-*.f64
6 282×accelerator-lowering-fma.f32
6 282×accelerator-lowering-fma.f64
4 092×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086953
1220949
2751949
33567949
46692949
08021902
Stop Event
iter limit
node limit

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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