Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 1.5min)

analyze866.0ms (1%)

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

Compiled 127 to 112 computations (11.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 595.0ms
ival-sub: 156.0ms (26.2% of total)
ival-add: 139.0ms (23.3% of total)
ival-div: 94.0ms (15.8% of total)
ival-pow: 70.0ms (11.8% of total)
ival-mult: 58.0ms (9.7% of total)
const: 25.0ms (4.2% of total)
ival-sqrt: 15.0ms (2.5% of total)
ival-sin: 11.0ms (1.8% of total)
ival-exp: 8.0ms (1.3% of total)
ival-<=: 7.0ms (1.2% of total)
ival-pi: 6.0ms (1% of total)
ival-neg: 6.0ms (1% of total)
backward-pass: 1.0ms (0.2% of total)

sample43.9s (49.6%)

Results
5.5s8256×0valid
35.0s3816×5exit
49.0ms66×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 39.0s
ival-sin: 22.6s (57.8% of total)
backward-pass: 5.2s (13.3% of total)
ival-add: 3.1s (7.9% of total)
ival-sub: 2.6s (6.7% of total)
ival-mult: 2.2s (5.7% of total)
ival-div: 1.3s (3.2% of total)
ival-pow: 721.0ms (1.8% of total)
ival-pi: 349.0ms (0.9% of total)
const: 324.0ms (0.8% of total)
ival-sqrt: 302.0ms (0.8% of total)
ival-exp: 141.0ms (0.4% of total)
ival-neg: 140.0ms (0.4% of total)
ival-<=: 89.0ms (0.2% of total)
Bogosity

preprocess617.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
5942×accelerator-lowering-fma.f32
5942×accelerator-lowering-fma.f64
4752×*-lowering-*.f32
4752×*-lowering-*.f64
3832×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

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

explain6.7s (7.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
10-0-(sin.f64 (*.f64 (PI.f64) z))
00-0-(/.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 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 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 7 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 (+.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 6 binary64))
00-0-#s(literal 2496092394504893/250000000000000000000 binary64)
00-0-#s(literal 4 binary64)
00-0-(*.f64 (PI.f64) #s(literal 2 binary64))
00-0-(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
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-(PI.f64)
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-(/.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 (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)))))
00-0-#s(literal 2501468655737381/200000000000000 binary64)
00-0-#s(literal -3464277381643003/25000000000000000 binary64)
00-0-#s(literal -3147848041806007/2500000000000 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 5 binary64)
00-0-#s(literal -883075145810703/5000000000000 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-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 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 1 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-(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))
01(-236.32926456471913)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-#s(literal 2 binary64)
00-0-(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 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-(+.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-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-#s(literal 6765203681218851/10000000000000 binary64)
00-0-#s(literal 3764081837873279/25000000000000000000000 binary64)
00-0-(-.f64 #s(literal 1 binary64) z)
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 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
00-0-#s(literal 1/2 binary64)
00-0-#s(literal 7 binary64)
00-0-(*.f64 (PI.f64) z)
00-0-#s(literal 7713234287776531/10000000000000 binary64)
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 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 #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 (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-#s(literal 9999999999998099/10000000000000000 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 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-(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 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
4.7s490×1valid
90.0ms22×0valid
Compiler

Compiled 1914 to 1680 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.3s
ival-sub: 1.2s (28.8% of total)
backward-pass: 946.0ms (22.3% of total)
ival-add: 904.0ms (21.3% of total)
ival-div: 565.0ms (13.3% of total)
ival-pow: 174.0ms (4.1% of total)
const: 149.0ms (3.5% of total)
ival-mult: 141.0ms (3.3% of total)
ival-exp: 54.0ms (1.3% of total)
ival-sqrt: 49.0ms (1.2% of total)
ival-neg: 29.0ms (0.7% of total)
ival-sin: 10.0ms (0.2% of total)
ival-pi: 8.0ms (0.2% of total)

eval1.0ms (0%)

Compiler

Compiled 75 to 61 computations (18.7% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #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))))))
▶97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #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))))
Compiler

Compiled 199 to 171 computations (14.1% saved)

localize5.4s (6.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff1792
(+.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))))
✓cost-diff2048
(+.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))))
✓cost-diff3136
(*.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)))))
✓cost-diff3136
(*.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))))))
✓cost-diff0
(*.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓cost-diff0
(*.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 z #s(literal -15/2 binary64)))))
✓cost-diff0
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #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))))
✓accuracy98.5%
(*.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)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 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))))
✓accuracy8.3%
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓accuracy98.5%
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))
✓accuracy98.5%
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.4%
(+.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)))
Rules
4814×*-lowering-*.f32
4814×*-lowering-*.f64
4656×+-lowering-+.f64
4656×+-lowering-+.f32
3974×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0951148
12431112
29281010
371511010
085011010
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (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 (+ z -15/2))))
(sqrt (* (PI) 2))
(* (PI) 2)
(PI)
2
(* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
z
(- 1/2 z)
1/2
(exp (+ z -15/2))
(+ z -15/2)
-15/2
(/ (* (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)))
(* (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)) (/ -883075145810703/5000000000000 (- 4 z))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(- 1 z)
1
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
(+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))
(/ 7713234287776531/10000000000000 (- 3 z))
7713234287776531/10000000000000
(- 3 z)
3
(/ -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)
(* (/ (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)))
(* (* (* (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)))
(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) 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)))
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
(+ (- (- 1 z) 1) 1)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
(+ (- (- 1 z) 1) 2)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
(+ (- (- 1 z) 1) 3)
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
(+ (- (- 1 z) 1) 4)
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
(+ (- (- 1 z) 1) 5)
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
(+ (- (- 1 z) 1) 6)
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
(+ (- (- 1 z) 1) 8)
Outputs
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (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 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.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 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))))) (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 (PI.f64) z)))))
(* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (exp.f64 (+.f64 z #s(literal -15/2 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)) (exp (+ z -15/2)))
(*.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(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 (+ z -15/2))
(exp.f64 (+.f64 z #s(literal -15/2 binary64)))
(+ z -15/2)
(+.f64 z #s(literal -15/2 binary64))
-15/2
#s(literal -15/2 binary64)
(/ (* (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.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 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.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 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.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 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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 (/.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 (/.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 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))
(+.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))
(/.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))
(/.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)) (/ -883075145810703/5000000000000 (- 4 z)))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 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))
(/.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 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 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 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 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)
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)
(* (/ (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 (*.f64 (*.f64 (PI.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))) (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.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 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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)))
(* (* (* (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 (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)) (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.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 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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))) (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)))
(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) 1) 1/2)
(-.f64 #s(literal 1/2 binary64) z)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(exp.f64 (-.f64 #s(literal -7 binary64) (-.f64 #s(literal 1/2 binary64) z)))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
(-.f64 #s(literal -7 binary64) (-.f64 #s(literal 1/2 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))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.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 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 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 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 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 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.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 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 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 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 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 -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)))))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.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)))
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
(+ (- (- 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))
(+ (- (- 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))
(+ (- (- 1 z) 1) 3)
(-.f64 #s(literal 3 binary64) z)
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
(+ (- (- 1 z) 1) 4)
(-.f64 #s(literal 4 binary64) z)
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
(+ (- (- 1 z) 1) 5)
(-.f64 #s(literal 5 binary64) z)
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
(+ (- (- 1 z) 1) 6)
(-.f64 #s(literal 6 binary64) z)
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
(+ (- (- 1 z) 1) 8)
(-.f64 #s(literal 8 binary64) z)
Results
3.7s245×1valid
81.0ms11×0valid
Compiler

Compiled 1417 to 1195 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-sub: 930.0ms (27.4% of total)
backward-pass: 779.0ms (23% of total)
ival-add: 605.0ms (17.9% of total)
ival-div: 522.0ms (15.4% of total)
ival-mult: 172.0ms (5.1% of total)
ival-pow: 134.0ms (4% of total)
const: 111.0ms (3.3% of total)
ival-sqrt: 57.0ms (1.7% of total)
ival-exp: 44.0ms (1.3% of total)
ival-neg: 25.0ms (0.7% of total)
ival-pi: 5.0ms (0.1% of total)
ival-sin: 5.0ms (0.1% of total)

series59.0ms (0.1%)

Counts
14 → 144
Calls
Call 1
Inputs
#<alt (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))>
#<alt (sqrt (* (PI) 2))>
#<alt (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))>
#<alt (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))>
#<alt (- (- 1 z) 1)>
#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))>
#<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 (* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (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 (+ z -15/2))))>
#<alt (* (PI) 2)>
#<alt (* (/ (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)))))>
#<alt (* (* (* (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))))>
#<alt (+ (+ (+ (+ (+ (+ (+ (+ 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)))>
#<alt (+ (+ (+ (+ (+ (+ (+ 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)))>
Outputs
#<alt 469507597606837/10000000000000>
#<alt (+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))>
#<alt (+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))>
#<alt (+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))>
#<alt (/ 5826188486005177/10000000000000 z)>
#<alt (/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)>
#<alt (/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)>
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Calls

36 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (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))))
4.0ms
z
@0
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (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))))
2.0ms
z
@inf
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (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))))
2.0ms
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))))
1.0ms
z
@0
(* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))

rewrite643.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
4526×*-lowering-*.f32
4526×*-lowering-*.f64
4372×/-lowering-/.f32
4372×/-lowering-/.f64
2602×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095499
1830486
08091486
Stop Event
1×iter limit
1×node limit
Counts
14 → 252
Calls
Call 1
Inputs
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))
(sqrt (* (PI) 2))
(* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))
(+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))
(- (- 1 z) 1)
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(* (* (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 (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (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 (+ z -15/2))))
(* (PI) 2)
(* (/ (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)))))
(* (* (* (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))))
(+ (+ (+ (+ (+ (+ (+ (+ 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)))
Outputs
(+.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 -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.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 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z))) (-.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)))))
(fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(fma.f64 #s(literal 1 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)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal -3147848041806007/2500000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 3147848041806007/2500000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal -6765203681218851/10000000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)) (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.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 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z))))))
(/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)))
(/.f64 (+.f64 (/.f64 #s(literal 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (*.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z))))) (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -21295833160343550136109053437957/25000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))))))
(/.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z)))) (-.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 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) z))) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (-.f64 #s(literal 2 binary64) z))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64)) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64)) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64)) (-.f64 #s(literal 2 binary64) z)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) z))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64)) #s(literal 3147848041806007/2500000000000 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64)) (neg.f64 (-.f64 #s(literal 2 binary64) z))))
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(/.f64 (+.f64 (*.f64 #s(literal -6765203681218851/10000000000000 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) z))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (-.f64 #s(literal 2 binary64) z))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))) #s(literal 6765203681218851/10000000000000 binary64))) (*.f64 (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64))) (*.f64 (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))) (*.f64 (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))) #s(literal -6765203681218851/10000000000000 binary64))) (*.f64 (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 (*.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 2 binary64) z) #s(literal 6765203681218851/10000000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 (*.f64 #s(literal -3147848041806007/2500000000000 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6765203681218851/10000000000000 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))) (*.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -6765203681218851/10000000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 (*.f64 #s(literal 3147848041806007/2500000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) z)) #s(literal 6765203681218851/10000000000000 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1 binary64) z)))
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(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (*.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z)))))) (neg.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -21295833160343550136109053437957/25000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z))))) (neg.f64 (-.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 (*.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) (+.f64 (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z))) (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))
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(*.f64 (-.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)))))) (/.f64 #s(literal 6230477241905170390422600941449/62500000000000000000000000000000000000000 binary64) (*.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 binary64) (-.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))))

simplify1.5s (1.6%)

Algorithm
1×egg-herbie
Rules
10372×accelerator-lowering-fma.f32
10372×accelerator-lowering-fma.f64
6928×*-lowering-*.f32
6928×*-lowering-*.f64
3698×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04924980
115844781
255084252
082664036
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
469507597606837/10000000000000
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(/ 5826188486005177/10000000000000 z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
(/ 5826188486005177/10000000000000 z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
(* (exp -15/2) (sqrt 15/2))
(+ (* z (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (* (exp -15/2) (sqrt 15/2)))
(+ (* z (+ (* z (+ (* 1/2 (* (exp -15/2) (sqrt 15/2))) (+ (* (exp -15/2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (exp -15/2) (sqrt 15/2)))
(+ (* z (+ (* z (+ (* 1/2 (* (exp -15/2) (sqrt 15/2))) (+ (* z (+ (* 1/6 (* (exp -15/2) (sqrt 15/2))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (+ (* (exp -15/2) (* (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 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))))))) (+ (* (exp -15/2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (exp -15/2) (sqrt 15/2)))
(* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))
(* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))
(* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))
(* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))
(* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
(* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
(* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
(* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
12777243138120953/60000000000000
(+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))
(/ -47576671969241/80000000000 z)
(* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))
(/ (- (* -1 (/ (+ 16075101696843969/10000000000000 (* 41160703924046283/10000000000000 (/ 1 z))) z)) 47576671969241/80000000000) z)
(/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)
(/ -47576671969241/80000000000 z)
(* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))
(* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
479507597606835099/10000000000000000
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
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(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* (sqrt (pow (PI) 3)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* (* z (- (+ (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* -1106209385320415913103082059/25200000000000000000000000 (* (PI) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))))) (sqrt (pow (PI) 3)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (+ (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* -1106209385320415913103082059/25200000000000000000000000 (* (PI) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))))) (* (* z (- (+ (* 1/2 (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))) (+ (* 1106209385320415913103082059/25200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (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))))) (* -1/6 (* (pow (PI) 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))))))) z)
(* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (sin (* z (PI))))))
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(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))
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))))))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 611458333333720910362579/25000000000000000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (/ 1078390842009938509147167/6250000000000000000000 (pow z 2))) (* 611458333333720910362579/25000000000000000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (/ 1078390842009938509147167/6250000000000000000000 (pow z 2))) (+ (* 611458333333720910362579/25000000000000000000000 (/ 1 z)) (* 398308844029173303716389/6250000000000000000000 (/ 1 (pow z 3)))))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 611458333333720910362579/25000000000000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 611458333333720910362579/25000000000000000000000 (* 1078390842009938509147167/6250000000000000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 611458333333720910362579/25000000000000000000000 (* -1 (/ (- 1078390842009938509147167/6250000000000000000000 (* 398308844029173303716389/6250000000000000000000 (/ 1 z))) z))) z)))
1382761731551712743134679/5250000000000000000000
(+ 1382761731551712743134679/5250000000000000000000 (* 16055934341359023345617179/36750000000000000000000 z))
(+ 1382761731551712743134679/5250000000000000000000 (* z (+ 16055934341359023345617179/36750000000000000000000 (* 1261892996482553330703662111/2315250000000000000000000 z))))
(+ 1382761731551712743134679/5250000000000000000000 (* z (+ 16055934341359023345617179/36750000000000000000000 (* z (+ 1261892996482553330703662111/2315250000000000000000000 (* 19664514596894233501133157847/32413500000000000000000000 z))))))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 6114583295696390724893/250000000000000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (/ 43135633981524087395749/250000000000000000000 (pow z 2))) (* 6114583295696390724893/250000000000000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (/ 43135633981524087395749/250000000000000000000 (pow z 2))) (+ (* 6114583295696390724893/250000000000000000000 (/ 1 z)) (* 15932351352154555909757/250000000000000000000 (/ 1 (pow z 3)))))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 6114583295696390724893/250000000000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 6114583295696390724893/250000000000000000000 (* 43135633981524087395749/250000000000000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 6114583295696390724893/250000000000000000000 (* -1 (/ (- 43135633981524087395749/250000000000000000000 (* 15932351352154555909757/250000000000000000000 (/ 1 z))) z))) z)))
Outputs
469507597606837/10000000000000
#s(literal 469507597606837/10000000000000 binary64)
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 #s(literal 904338909853211/2500000000000 binary64) z))
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(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z (+.f64 #s(literal 2076511864126339/4000000000000 binary64) (*.f64 z #s(literal 23912966683069397/40000000000000 binary64)))))))
(/ 5826188486005177/10000000000000 z)
(/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
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(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)
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(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
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(/ 5826188486005177/10000000000000 z)
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(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
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(* (exp -15/2) (sqrt 15/2))
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(* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
(* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
(* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))
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(* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
(* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
(* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
(* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
(* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
12777243138120953/60000000000000
#s(literal 12777243138120953/60000000000000 binary64)
(+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))
(+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))
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(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))
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(/ -47576671969241/80000000000 z)
(/.f64 #s(literal -47576671969241/80000000000 binary64) z)
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(/ (- (* -1 (/ (+ 16075101696843969/10000000000000 (* 41160703924046283/10000000000000 (/ 1 z))) z)) 47576671969241/80000000000) z)
(/.f64 (-.f64 #s(literal -47576671969241/80000000000 binary64) (/.f64 (+.f64 #s(literal 16075101696843969/10000000000000 binary64) (/.f64 #s(literal 41160703924046283/10000000000000 binary64) z)) z)) z)
(/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)
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(/ -47576671969241/80000000000 z)
(/.f64 #s(literal -47576671969241/80000000000 binary64) z)
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(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
479507597606835099/10000000000000000
#s(literal 479507597606835099/10000000000000000 binary64)
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9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
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9999999999998099/10000000000000000
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1106209385320415913103082059/4200000000000000000000000
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1382761731551712743134679/5250000000000000000000
#s(literal 1382761731551712743134679/5250000000000000000000 binary64)
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9999999999998099/10000000000000000
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eval2.3s (2.6%)

Compiler

Compiled 101251 to 84746 computations (16.3% saved)

prune224.0ms (0.3%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New73123754
Fresh000
Picked112
Done000
Total73224756
Accuracy
100.0%
Counts
756 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
▶96.4%
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) z)
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))))))
99.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))))
97.4%
(*.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 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.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))))))
98.5%
(*.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 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)) #s(literal 2500000000000/3147848041806007 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)) #s(literal 2500000000000/3147848041806007 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))))))
97.3%
(*.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 #s(literal 1 binary64) (+.f64 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))))))
97.7%
(*.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 (-.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 #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)))))))))
▶98.1%
(*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
97.4%
(*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))))
6.5%
(*.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 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal 1078390842009938509147167/6250000000000000000000 binary64) z)) z))))
4.3%
(*.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 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) z))))
96.8%
(*.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))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
▶99.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
▶97.3%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
97.3%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)) (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
98.0%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 (*.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (*.f64 (-.f64 #s(literal 3 binary64) z) #s(literal -883075145810703/5000000000000 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) z) (-.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))))
✓97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #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))))
97.1%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.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))))
96.6%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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))) #s(literal 12777243138120953/60000000000000 binary64)) (+.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))))
96.9%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z #s(literal 2076511864126339/4000000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
96.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (+.f64 (+.f64 z #s(literal -15/2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #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))))
▶97.8%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.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 3697 to 3121 computations (15.6% saved)

localize8.1s (9.2%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓cost-diff0
(*.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 z #s(literal -15/2 binary64)))))
✓cost-diff0
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (PI.f64))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓cost-diff0
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.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-diff640
(*.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))))
✓cost-diff1088
(*.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)))))
✓cost-diff1088
(*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))
✓cost-diff1088
(*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(sqrt.f64 (PI.f64))
✓cost-diff0
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) z)
✓cost-diff640
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓cost-diff640
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))))
✓cost-diff896
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))
✓cost-diff1536
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
✓accuracy98.5%
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))
✓accuracy98.5%
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.3%
(+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z))
✓accuracy98.5%
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))
✓accuracy98.5%
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
✓accuracy98.5%
(+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.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))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy98.5%
(*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))
✓accuracy98.5%
(*.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)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy8.3%
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 #s(literal -15/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.4%
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) z)
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy98.5%
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
✓accuracy98.5%
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy95.7%
(+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
Rules
6906×*-lowering-*.f32
6906×*-lowering-*.f64
5760×accelerator-lowering-fma.f32
5760×accelerator-lowering-fma.f64
4202×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01401949
13781697
216411636
091721619
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(/ (PI) (sin (* z (PI))))
(PI)
(sin (* z (PI)))
(* z (PI))
z
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(sqrt (* 2 (PI)))
(* 2 (PI))
2
(pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))
(+ 1/2 (+ (- 1 z) 6))
1/2
(+ (- 1 z) 6)
(- 1 z)
1
6
(+ (- 1 z) -1/2)
-1/2
(exp (+ 1/2 (+ (- 1 z) 6)))
(+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))))
(+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000)
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
9999999999998099/10000000000000000
(/ -3147848041806007/2500000000000 (+ (- 1 z) 1))
-3147848041806007/2500000000000
(+ (- 1 z) 1)
(+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
(/ 7713234287776531/10000000000000 (+ (- 1 z) 2))
7713234287776531/10000000000000
(+ (- 1 z) 2)
(/ -883075145810703/5000000000000 (+ (- 1 z) 3))
-883075145810703/5000000000000
(+ (- 1 z) 3)
3
(+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))
(/ 2501468655737381/200000000000000 (+ (- 1 z) 4))
2501468655737381/200000000000000
(+ (- 1 z) 4)
4
(/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))
-3464277381643003/25000000000000000
(+ (- 1 z) 5)
5
(+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))
(/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6))
2496092394504893/250000000000000000000
(/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))
3764081837873279/25000000000000000000000
(+ (- 1 z) 7)
7
(/ (* (sqrt (PI)) (* (* (sqrt 15/2) (sqrt 2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000))) z)
(* (sqrt (PI)) (* (* (sqrt 15/2) (sqrt 2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(sqrt (PI))
(* (* (sqrt 15/2) (sqrt 2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000))
(* (sqrt 15/2) (sqrt 2))
(sqrt 15/2)
15/2
(sqrt 2)
(* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)
(exp -15/2)
-15/2
1106209385320415913103082059/4200000000000000000000000
(* (/ (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)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))))))
(/ (PI) (sin (* (PI) z)))
(sin (* (PI) z))
(* (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)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))))
(* (* (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)
(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) 1/2)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))))
(* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))
(+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))
102757979785251069442117317613/235200000000000000000000000
(* z 64608921419941589693928044520019/118540800000000000000000000000)
64608921419941589693928044520019/118540800000000000000000000000
(* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (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))))))))))
(/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (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)))))))))
(* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
(- 1/2 z)
(exp (+ z -15/2))
(+ z -15/2)
(/ (sin (* z (PI))) (* (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))))))))
(* (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))))))
(+ (+ (/ 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)) (/ -883075145810703/5000000000000 (- 4 z)))))
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))
(/ -3147848041806007/2500000000000 (- 2 z))
(- 2 z)
(+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))
(/ 7713234287776531/10000000000000 (- 3 z))
(- 3 z)
(/ -883075145810703/5000000000000 (- 4 z))
(- 4 z)
(+ (+ (/ 2501468655737381/200000000000000 (- 5 z)) (/ -3464277381643003/25000000000000000 (- 6 z))) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (/ -3464277381643003/25000000000000000 (- 6 z)))
(/ 2501468655737381/200000000000000 (- 5 z))
(- 5 z)
(/ -3464277381643003/25000000000000000 (- 6 z))
(- 6 z)
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))
(/ 2496092394504893/250000000000000000000 (- 7 z))
(- 7 z)
(/ 3764081837873279/25000000000000000000000 (- 8 z))
(- 8 z)
8
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ (/ 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 (+ z -15/2))))
(/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ (/ 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)))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ (/ 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 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ (/ 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 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ (/ 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 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))
(/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))))
(+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z))
(* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))
(- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))
-5000000000000/3147848041806007
(/ z -3147848041806007/2500000000000)
(* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
Outputs
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(/.f64 (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.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 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.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 (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)))
(* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(/.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 z #s(literal -15/2 binary64))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/ (PI) (sin (* z (PI))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI)
(PI.f64)
(sin (* z (PI)))
(sin.f64 (*.f64 (PI.f64) z))
(* z (PI))
(*.f64 (PI.f64) z)
z
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(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 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)))))
(+ (/ -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))))
Results
5.2s245×1valid
144.0ms11×0valid
Compiler

Compiled 2075 to 1663 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.7s
ival-sub: 1.0s (21.4% of total)
ival-add: 892.0ms (19% of total)
backward-pass: 891.0ms (19% of total)
ival-div: 786.0ms (16.7% of total)
ival-mult: 405.0ms (8.6% of total)
ival-pow: 306.0ms (6.5% of total)
const: 148.0ms (3.2% of total)
ival-sqrt: 118.0ms (2.5% of total)
ival-exp: 115.0ms (2.4% of total)
ival-neg: 12.0ms (0.3% of total)
ival-sin: 10.0ms (0.2% of total)
ival-pi: 5.0ms (0.1% of total)

series73.0ms (0.1%)

Counts
27 → 228
Calls
Call 1
Inputs
#<alt (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))>
#<alt (sqrt (* 2 (PI)))>
#<alt (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))>
#<alt (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))>
#<alt (sqrt (PI))>
#<alt (/ (* (sqrt (PI)) (* (* (sqrt 15/2) (sqrt 2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000))) z)>
#<alt (PI)>
#<alt (exp -15/2)>
#<alt (- (- 1 z) 1)>
#<alt (sqrt (* (PI) 2))>
#<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 (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))))>
#<alt (+ (+ (/ 2501468655737381/200000000000000 (- 5 z)) (/ -3464277381643003/25000000000000000 (- 6 z))) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))>
#<alt (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))>
#<alt (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))>
#<alt (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z))>
#<alt (* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))>
#<alt (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))>
#<alt (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))>
#<alt (* (sqrt (PI)) (* (* (sqrt 15/2) (sqrt 2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)))>
#<alt (* (/ (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)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))))))>
#<alt (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))>
#<alt (* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (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 (* 2 (PI))>
#<alt (* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ (/ 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 (+ z -15/2))))>
#<alt (* (PI) 2)>
Outputs
#<alt 479507597606835099/10000000000000000>
#<alt (+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))>
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))>
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))>
#<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)))))>
#<alt 12777243138120953/60000000000000>
#<alt (+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))>
#<alt (+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))>
#<alt (+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))>
#<alt (/ -47576671969241/80000000000 z)>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))>
#<alt (/ (- (* -1 (/ (+ 16075101696843969/10000000000000 (* 41160703924046283/10000000000000 (/ 1 z))) z)) 47576671969241/80000000000) z)>
#<alt (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)>
#<alt (/ -47576671969241/80000000000 z)>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
#<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 (* (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 (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))>
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Calls

57 calls:

TimeVariablePointExpression
6.0ms
z
@inf
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
4.0ms
z
@0
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
2.0ms
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)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))))
2.0ms
z
@inf
(* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
2.0ms
z
@0
(/ (* (sqrt (PI)) (* (* (sqrt 15/2) (sqrt 2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000))) z)

rewrite545.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
5862×*-lowering-*.f32
5862×*-lowering-*.f64
4370×/-lowering-/.f32
4370×/-lowering-/.f64
2824×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140659
11161657
08866651
Stop Event
1×iter limit
1×node limit
Counts
27 → 325
Calls
Call 1
Inputs
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(sqrt (* 2 (PI)))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
(sqrt (PI))
(/ (* (sqrt (PI)) (* (* (sqrt 15/2) (sqrt 2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000))) z)
(PI)
(exp -15/2)
(- (- 1 z) 1)
(sqrt (* (PI) 2))
(* (* (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))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))))
(+ (+ (/ 2501468655737381/200000000000000 (- 5 z)) (/ -3464277381643003/25000000000000000 (- 6 z))) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
(* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))
(+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))
(+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z))
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(+ (+ (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(* (sqrt (PI)) (* (* (sqrt 15/2) (sqrt 2)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(* (/ (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)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (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 (PI))
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ (/ 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 (+ z -15/2))))
(* (PI) 2)
Outputs
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))) (/.f64 (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))) (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))))
(fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 #s(literal -3147848041806007/2500000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))) (*.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (-.f64 (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))) (*.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))) (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (*.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (*.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (*.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (*.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (*.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))) #s(literal 3147848041806007/2500000000000 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (*.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))))
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(*.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))) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #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 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.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 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))) (*.f64 (PI.f64) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (/.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))))) (+.f64 (/.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 #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 z (PI.f64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))) (*.f64 (PI.f64) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (/.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))))) (+.f64 (/.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 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (*.f64 (PI.f64) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (/.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))))) (+.f64 (/.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 #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 z (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (/.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))))) (+.f64 (/.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 #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 z (PI.f64)))))
(*.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (/.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 2 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))))) (+.f64 (/.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 #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 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (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 z #s(literal -15/2 binary64))))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))

simplify1.3s (1.5%)

Algorithm
1×egg-herbie
Rules
11226×accelerator-lowering-fma.f32
11226×accelerator-lowering-fma.f64
8076×*-lowering-*.f32
8076×*-lowering-*.f64
4028×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07249202
124508843
082858482
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
479507597606835099/10000000000000000
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))
(+ (* (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))))
(+ (* 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))))
(+ (* 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)))))
12777243138120953/60000000000000
(+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))
(/ -47576671969241/80000000000 z)
(* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))
(/ (- (* -1 (/ (+ 16075101696843969/10000000000000 (* 41160703924046283/10000000000000 (/ 1 z))) z)) 47576671969241/80000000000) z)
(/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)
(/ -47576671969241/80000000000 z)
(* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))
(* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* (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))))
(+ (* 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)))))
(+ (* 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)))))
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(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
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(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
Outputs
479507597606835099/10000000000000000
#s(literal 479507597606835099/10000000000000000 binary64)
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(+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 #s(literal 904338909853211/2500000000000 binary64) z))
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9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
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(*.f64 (sqrt.f64 (PI.f64)) (*.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 z #s(literal -15/2 binary64)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.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 z #s(literal -15/2 binary64)))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.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 z #s(literal -15/2 binary64)))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.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 z #s(literal -15/2 binary64)))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.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 z #s(literal -15/2 binary64)))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.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 z #s(literal -15/2 binary64)))))

eval1.1s (1.3%)

Compiler

Compiled 83910 to 66687 computations (20.5% saved)

prune193.0ms (0.2%)

Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New83329862
Fresh10818
Picked505
Done011
Total84838886
Accuracy
100.0%
Counts
886 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
▶96.4%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
98.1%
(/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64)))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))) (sin.f64 (*.f64 z (PI.f64))))
97.5%
(*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (exp.f64 #s(literal 15/2 binary64))) z) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
98.2%
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #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 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))))
96.8%
(*.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))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
98.1%
(*.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 #s(literal 0 binary64) z) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
98.1%
(*.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 #s(literal 1 binary64) (+.f64 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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
98.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64)))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))))
▶6.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) z)) z)))
▶99.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
97.6%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
97.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.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))))))))
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))
97.0%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))
4.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) z)))
96.4%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
98.4%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64))))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))
97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
98.0%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 59493983178131529437839794393961/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 3 binary64) z) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal 779821713148594364211109354209/25000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 4 binary64) z) (-.f64 #s(literal 4 binary64) z)))) (-.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
▶97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.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))))
97.3%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)) (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
98.0%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 (*.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (*.f64 (-.f64 #s(literal 3 binary64) z) #s(literal -883075145810703/5000000000000 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) z) (-.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))))
✓97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #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))))
97.1%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.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))))
96.6%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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))) #s(literal 12777243138120953/60000000000000 binary64)) (+.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))))
96.9%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z #s(literal 2076511864126339/4000000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
96.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (+.f64 (+.f64 z #s(literal -15/2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
98.8%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (+.f64 (*.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (*.f64 (-.f64 #s(literal 3 binary64) z) #s(literal -883075145810703/5000000000000 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) z) (-.f64 #s(literal 4 binary64) z))))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.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))))))))))
97.1%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 396401817189495604203614369999/19914854400000000000000000000000 binary64)))))))))))))
▶97.5%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)))))))))))
97.1%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)))))))))
96.7%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))))))
97.1%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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)) #s(literal 12777243138120953/60000000000000 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.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))))))))))
97.2%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (exp.f64 (+.f64 (+.f64 z #s(literal -15/2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.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))))))))))
97.2%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
97.0%
(*.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))) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
96.0%
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (exp.f64 #s(literal 15/2 binary64))) z))
Compiler

Compiled 4585 to 3795 computations (17.2% saved)

localize4.1s (4.6%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.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-diff256
(*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.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-diff256
(/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.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)))
✓cost-diff256
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.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))))
✓cost-diff128
(*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64))))))))
✓cost-diff128
(/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)))))))))
✓cost-diff128
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64))))))))))
✓cost-diff128
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)))))))))))
✓cost-diff384
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))))
✓cost-diff640
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓cost-diff640
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))))
✓cost-diff640
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) z)) z)))
✓cost-diff0
(*.f64 (PI.f64) #s(literal 15 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
✓cost-diff640
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓cost-diff640
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))))
✓cost-diff896
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))
✓cost-diff1536
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
✓accuracy98.5%
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
✓accuracy98.5%
(*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.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))))))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.3%
(+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z))
✓accuracy98.5%
(+.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)))))))
✓accuracy98.5%
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))
✓accuracy98.5%
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy99.6%
(*.f64 z (PI.f64))
✓accuracy99.4%
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
✓accuracy98.5%
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy100.0%
(exp.f64 #s(literal -15/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.4%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
✓accuracy98.4%
(*.f64 (PI.f64) #s(literal 15 binary64))
✓accuracy98.5%
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
✓accuracy98.5%
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy94.2%
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64)))
Rules
5730×+-lowering-+.f64
5730×+-lowering-+.f32
5386×accelerator-lowering-fma.f32
5386×accelerator-lowering-fma.f64
5176×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471844
13511694
212851632
080581602
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(/ (PI) (sin (* z (PI))))
(PI)
(sin (* z (PI)))
(* z (PI))
z
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(sqrt (* 2 (PI)))
(* 2 (PI))
2
(pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))
(+ 1/2 (+ (- 1 z) 6))
1/2
(+ (- 1 z) 6)
(- 1 z)
1
6
(+ (- 1 z) -1/2)
-1/2
(exp (+ 1/2 (+ (- 1 z) 6)))
(+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))))
(+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))
(/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))))
(+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1))
(* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))
(- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000)
(/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))
45767980848377092942628957760201/100000000000000000000000000
(* (- 1 z) (- 1 z))
99999999999961980000000003613801/100000000000000000000000000000000
(- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))
-2500000000000/3147848041806007
(/ (- z 1) -3147848041806007/2500000000000)
(- z 1)
-3147848041806007/2500000000000
(* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)
(- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000)
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
9999999999998099/10000000000000000
(* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))
(+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
(/ 7713234287776531/10000000000000 (+ (- 1 z) 2))
7713234287776531/10000000000000
(+ (- 1 z) 2)
(/ -883075145810703/5000000000000 (+ (- 1 z) 3))
-883075145810703/5000000000000
(+ (- 1 z) 3)
3
(+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))
(/ 2501468655737381/200000000000000 (+ (- 1 z) 4))
2501468655737381/200000000000000
(+ (- 1 z) 4)
4
(/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))
-3464277381643003/25000000000000000
(+ (- 1 z) 5)
5
(+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))
(/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6))
2496092394504893/250000000000000000000
(/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))
3764081837873279/25000000000000000000000
(+ (- 1 z) 7)
7
(/ (* (sqrt (* (PI) 15)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(* (sqrt (* (PI) 15)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000))
(sqrt (* (PI) 15))
(* (PI) 15)
15
(* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)
(exp -15/2)
-15/2
1106209385320415913103082059/4200000000000000000000000
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)))
(- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z))
(/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)
(+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z))
611458333333720910362579/25000000000000000000000
(/ -1078390842009938509147167/6250000000000000000000 z)
-1078390842009938509147167/6250000000000000000000
(* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))))))))
(/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000)))))))))
(* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
(exp (+ z -15/2))
(+ z -15/2)
(/ (sin (* z (PI))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))))))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000)))))))
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))))
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000)))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))))
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))
(/ -3147848041806007/2500000000000 (- 2 z))
(- 2 z)
(+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))
(/ 7713234287776531/10000000000000 (- 3 z))
(- 3 z)
(/ -883075145810703/5000000000000 (- 4 z))
(- 4 z)
(+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))
10409174657078461523082059/4200000000000000000000000
(* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000)))
(+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))
350291408665333106351952839/705600000000000000000000000
(* z 11784999493416810208044520019/118540800000000000000000000000)
11784999493416810208044520019/118540800000000000000000000000
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 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 (+ z -15/2))))
(sqrt (* (PI) 2))
(* (PI) 2)
(/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) (sin (* (PI) z)))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))
(+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))
(+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))
(+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000)))
(/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))))
(+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z))
(* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))
(- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))
-5000000000000/3147848041806007
(/ z -3147848041806007/2500000000000)
(* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))
(+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))
12777243138120953/60000000000000
(* z 53758197989915921/720000000000000)
53758197989915921/720000000000000
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))
(/ 2501468655737381/200000000000000 (- 5 z))
(- 5 z)
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
(/ -3464277381643003/25000000000000000 (- 6 z))
(- 6 z)
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))
(/ 2496092394504893/250000000000000000000 (- 7 z))
(- 7 z)
(/ 3764081837873279/25000000000000000000000 (- 8 z))
(- 8 z)
8
(sin (* (PI) z))
(* (PI) z)
Outputs
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(*.f64 (/.f64 (*.f64 (PI.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)))) (*.f64 (sin.f64 (*.f64 (PI.f64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64))) (*.f64 (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)))) (+.f64 (+.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 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 -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))))))
(* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(/.f64 (*.f64 (PI.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)))) (*.f64 (sin.f64 (*.f64 (PI.f64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/ (PI) (sin (* z (PI))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI)
(PI.f64)
(sin (* z (PI)))
(sin.f64 (*.f64 (PI.f64) z))
(* z (PI))
(*.f64 (PI.f64) z)
z
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 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)))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -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 (* 2 (PI)))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
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(- 7 z)
(-.f64 #s(literal 7 binary64) z)
(/ 3764081837873279/25000000000000000000000 (- 8 z))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
(- 8 z)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)
Results
2.3s256×0valid
Compiler

Compiled 2053 to 1634 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-sub: 502.0ms (25.7% of total)
ival-div: 439.0ms (22.5% of total)
ival-mult: 317.0ms (16.3% of total)
ival-add: 308.0ms (15.8% of total)
ival-pow: 132.0ms (6.8% of total)
ival-exp: 109.0ms (5.6% of total)
const: 79.0ms (4% of total)
ival-sqrt: 55.0ms (2.8% of total)
ival-sin: 7.0ms (0.4% of total)
ival-pi: 2.0ms (0.1% of total)
backward-pass: 1.0ms (0.1% of total)

series129.0ms (0.1%)

Counts
30 → 276
Calls
Call 1
Inputs
#<alt (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1))>
#<alt (sqrt (* 2 (PI)))>
#<alt (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))>
#<alt (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))>
#<alt (* (PI) 15)>
#<alt (/ (* (sqrt (* (PI) 15)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)) z)>
#<alt (PI)>
#<alt (exp -15/2)>
#<alt (/ (PI) (sin (* z (PI))))>
#<alt (* z (PI))>
#<alt (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))>
#<alt (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))>
#<alt (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))))>
#<alt (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z))>
#<alt (sqrt (* (PI) 2))>
#<alt (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))>
#<alt (* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))>
#<alt (+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))>
#<alt (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))>
#<alt (* (sqrt (* (PI) 15)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000))>
#<alt (sqrt (* (PI) 15))>
#<alt (* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)))>
#<alt (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))>
#<alt (* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))))))))>
#<alt (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000)))))))))>
#<alt (/ (sin (* z (PI))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))))))>
#<alt (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000)))))))>
#<alt (* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) (sin (* (PI) z))))>
#<alt (/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) (sin (* (PI) z)))>
#<alt (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))>
Outputs
#<alt -3239171488526100880312595937844772199/62956960836120140000000000000000000>
#<alt (- (* -52120709903757078245430659528778613801/125913921672240280000000000000000000 z) 3239171488526100880312595937844772199/62956960836120140000000000000000000)>
#<alt (- (* z (- (* -6118036922008385701629976080561/7869620104515017500000000000 z) 52120709903757078245430659528778613801/125913921672240280000000000000000000)) 3239171488526100880312595937844772199/62956960836120140000000000000000000)>
#<alt (- (* z (- (* z (- (* -143656571600511264168708575049177/125913921672240280000000000000 z) 6118036922008385701629976080561/7869620104515017500000000000)) 52120709903757078245430659528778613801/125913921672240280000000000000000000)) 3239171488526100880312595937844772199/62956960836120140000000000000000000)>
#<alt (* -99999999999961980000000003613801/125913921672240280000000000000000000 z)>
#<alt (* -1 (* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)))))>
#<alt (* z (- (* -1 (/ (+ 62856960836108209901745053557772199/62956960836120140000000000000000000 (* 39415351792997107601807255991627/125913921672240280000000000000 (/ 1 z))) z)) 99999999999961980000000003613801/125913921672240280000000000000000000))>
#<alt (* z (- (* -1 (/ (+ 39415351792997107601807255991627/125913921672240280000000000000 (* 6765203681218851/10000000000000 (/ 1 z))) (pow z 2))) (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)))))>
#<alt (* -99999999999961980000000003613801/125913921672240280000000000000000000 z)>
#<alt (* -1 (* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)))))>
#<alt (* -1 (* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (+ (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)) (/ 39415351792997107601807255991627/125913921672240280000000000000 (pow z 2))))))>
#<alt (* -1 (* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (* -1 (/ (- (* -1 (/ (+ 39415351792997107601807255991627/125913921672240280000000000000 (* 6765203681218851/10000000000000 (/ 1 z))) z)) 62856960836108209901745053557772199/62956960836120140000000000000000000) 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)))))>
#<alt 12777243138120953/60000000000000>
#<alt (+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))>
#<alt (+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))>
#<alt (+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))>
#<alt (/ -47576671969241/80000000000 z)>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))>
#<alt (/ (- (* -1 (/ (+ 16075101696843969/10000000000000 (* 41160703924046283/10000000000000 (/ 1 z))) z)) 47576671969241/80000000000) z)>
#<alt (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)>
#<alt (/ -47576671969241/80000000000 z)>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* 1/6 (* (pow z 2) (pow (PI) 2)))) z)>
#<alt (/ (+ 1 (* (pow z 2) (- (* -1 (* (pow z 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (* -1/6 (pow (PI) 2))))) z)>
#<alt (/ (+ 1 (* (pow z 2) (- (* (pow z 2) (- (* -1 (* (pow z 2) (+ (* -1/5040 (pow (PI) 6)) (+ (* 1/720 (pow (PI) 6)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))))))) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (* -1/6 (pow (PI) 2))))) z)>
#<alt (/ (PI) (sin (* z (PI))))>
#<alt (/ (PI) (sin (* z (PI))))>
#<alt (/ (PI) (sin (* z (PI))))>
#<alt (/ (PI) (sin (* z (PI))))>
#<alt (/ (PI) (sin (* z (PI))))>
#<alt (/ (PI) (sin (* z (PI))))>
#<alt (/ (PI) (sin (* z (PI))))>
#<alt (/ (PI) (sin (* z (PI))))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* z (PI))>
#<alt (* (exp -15/2) (sqrt 15/2))>
#<alt (+ (* z (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (* (exp -15/2) (sqrt 15/2)))>
#<alt (+ (* z (+ (* z (+ (* 1/2 (* (exp -15/2) (sqrt 15/2))) (+ (* (exp -15/2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (exp -15/2) (sqrt 15/2)))>
#<alt (+ (* z (+ (* z (+ (* 1/2 (* (exp -15/2) (sqrt 15/2))) (+ (* z (+ (* 1/6 (* (exp -15/2) (sqrt 15/2))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (+ (* (exp -15/2) (* (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 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))))))) (+ (* (exp -15/2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (+ (* (exp -15/2) (sqrt 15/2)) (* (exp -15/2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (exp -15/2) (sqrt 15/2)))>
#<alt (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))>
#<alt (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))>
#<alt (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))>
#<alt (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- z 15/2)))>
#<alt (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))>
#<alt (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))>
#<alt (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))>
#<alt (* (exp (neg (+ 15/2 (* -1 z)))) (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))))>
#<alt 12777243138120953/60000000000000>
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#<alt (/ 1106209385320415913103082059/4200000000000000000000000 z)>
#<alt (/ (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)) z)>
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#<alt 1106209385320415913103082059/4200000000000000000000000>
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#<alt (* 53758197989915921/720000000000000 z)>
#<alt (* z (+ 53758197989915921/720000000000000 (* 6418621569060470797/30000000000000000 (/ 1 z))))>
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#<alt (* -1 (* z (- (* -1 (/ (+ 6418621569060470797/30000000000000000 (+ (* 14256251657054091589637421/25000000000000000000000 (/ 1 z)) (/ 11125329402537419134147167/6250000000000000000000 (pow z 2)))) z)) 53758197989915921/720000000000000)))>
Calls

69 calls:

TimeVariablePointExpression
24.0ms
z
@inf
(* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))))))))
5.0ms
z
@inf
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) (sin (* (PI) z))))
3.0ms
z
@0
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))
3.0ms
z
@0
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)))
2.0ms
z
@0
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) (sin (* (PI) z))))

rewrite570.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
5450×*-lowering-*.f32
5450×*-lowering-*.f64
4210×/-lowering-/.f32
4210×/-lowering-/.f64
2534×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147932
11153932
08406907
Stop Event
1×iter limit
1×node limit
Counts
30 → 314
Calls
Call 1
Inputs
(+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1))
(sqrt (* 2 (PI)))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
(* (PI) 15)
(/ (* (sqrt (* (PI) 15)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(PI)
(exp -15/2)
(/ (PI) (sin (* z (PI))))
(* z (PI))
(* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))
(+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))))
(+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z))
(sqrt (* (PI) 2))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(* (sqrt (* (PI) 15)) (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000))
(sqrt (* (PI) 15))
(* (* (/ (PI) (sin (* z (PI)))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))))))))
(/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (/ (sin (* z (PI))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000)))))))))
(/ (sin (* z (PI))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000))))))))
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))))) (+ 10409174657078461523082059/4200000000000000000000000 (* z (+ 350291408665333106351952839/705600000000000000000000000 (* z 11784999493416810208044520019/118540800000000000000000000000)))))))
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) (sin (* (PI) z))))
(/ (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) (sin (* (PI) z)))
(+ 9999999999998099/10000000000000000 (+ (+ (/ (+ (* 6765203681218851/10000000000000 (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (- 1 z)) (* (- 1 z) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (+ 12777243138120953/60000000000000 (* z 53758197989915921/720000000000000))) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))
Outputs
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3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))

simplify930.0ms (1%)

Algorithm
1×egg-herbie
Rules
7150×accelerator-lowering-fma.f32
7150×accelerator-lowering-fma.f64
7134×*-lowering-*.f32
7134×*-lowering-*.f64
5892×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011799748
139219441
084789027
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
-3239171488526100880312595937844772199/62956960836120140000000000000000000
(- (* -52120709903757078245430659528778613801/125913921672240280000000000000000000 z) 3239171488526100880312595937844772199/62956960836120140000000000000000000)
(- (* z (- (* -6118036922008385701629976080561/7869620104515017500000000000 z) 52120709903757078245430659528778613801/125913921672240280000000000000000000)) 3239171488526100880312595937844772199/62956960836120140000000000000000000)
(- (* z (- (* z (- (* -143656571600511264168708575049177/125913921672240280000000000000 z) 6118036922008385701629976080561/7869620104515017500000000000)) 52120709903757078245430659528778613801/125913921672240280000000000000000000)) 3239171488526100880312595937844772199/62956960836120140000000000000000000)
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12777243138120953/60000000000000
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12777243138120953/60000000000000
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(/ 1106209385320415913103082059/4200000000000000000000000 z)
(/ (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)) z)
(/ (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (- 61549629395250298343008044520019/118540800000000000000000000000 (* -1106209385320415913103082059/25200000000000000000000000 (pow (PI) 2))))))) z)
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1106209385320415913103082059/4200000000000000000000000
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))
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Outputs
-3239171488526100880312595937844772199/62956960836120140000000000000000000
#s(literal -3239171488526100880312595937844772199/62956960836120140000000000000000000 binary64)
(- (* -52120709903757078245430659528778613801/125913921672240280000000000000000000 z) 3239171488526100880312595937844772199/62956960836120140000000000000000000)
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(/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 61549629395250298343008044520019/118540800000000000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 11905977645951639154374123614369999/19914854400000000000000000000000 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 102757979785251069442117317613/1411200000000000000000000000 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1106209385320415913103082059/25200000000000000000000000 binary64)))))))) z)
(* 53758197989915921/720000000000000 (/ (* z (PI)) (sin (* z (PI)))))
(/.f64 (*.f64 #s(literal 53758197989915921/720000000000000 binary64) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))
(* z (+ (* 53758197989915921/720000000000000 (/ (PI) (sin (* z (PI))))) (* 6418621569060470797/30000000000000000 (/ (PI) (* z (sin (* z (PI))))))))
(*.f64 z (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 53758197989915921/720000000000000 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 #s(literal 6418621569060470797/30000000000000000 binary64) z))))
(* z (+ (* 53758197989915921/720000000000000 (/ (PI) (sin (* z (PI))))) (+ (* 6418621569060470797/30000000000000000 (/ (PI) (* z (sin (* z (PI)))))) (* 14256251657054091589637421/25000000000000000000000 (/ (PI) (* (pow z 2) (sin (* z (PI)))))))))
(*.f64 z (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 53758197989915921/720000000000000 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 #s(literal 6418621569060470797/30000000000000000 binary64) z)) (*.f64 (/.f64 #s(literal 14256251657054091589637421/25000000000000000000000 binary64) (*.f64 z z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(* z (+ (* 53758197989915921/720000000000000 (/ (PI) (sin (* z (PI))))) (+ (* 6418621569060470797/30000000000000000 (/ (PI) (* z (sin (* z (PI)))))) (+ (* 14256251657054091589637421/25000000000000000000000 (/ (PI) (* (pow z 2) (sin (* z (PI)))))) (* 11125329402537419134147167/6250000000000000000000 (/ (PI) (* (pow z 3) (sin (* z (PI))))))))))
(*.f64 z (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 53758197989915921/720000000000000 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 #s(literal 6418621569060470797/30000000000000000 binary64) z)) (*.f64 (/.f64 #s(literal 14256251657054091589637421/25000000000000000000000 binary64) (*.f64 z z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (/.f64 (*.f64 #s(literal 11125329402537419134147167/6250000000000000000000 binary64) (PI.f64)) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 z (*.f64 z z)))))))
(* 53758197989915921/720000000000000 (/ (* z (PI)) (sin (* z (PI)))))
(/.f64 (*.f64 #s(literal 53758197989915921/720000000000000 binary64) (*.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))
(* -1 (* z (+ (* -6418621569060470797/30000000000000000 (/ (PI) (* z (sin (* z (PI)))))) (* -53758197989915921/720000000000000 (/ (PI) (sin (* z (PI))))))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (*.f64 (/.f64 #s(literal -6418621569060470797/30000000000000000 binary64) z) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (*.f64 (PI.f64) #s(literal -53758197989915921/720000000000000 binary64)) (sin.f64 (*.f64 z (PI.f64))))))
(* -1 (* z (+ (* -53758197989915921/720000000000000 (/ (PI) (sin (* z (PI))))) (* -1 (/ (+ (* 6418621569060470797/30000000000000000 (/ (PI) (sin (* z (PI))))) (* 14256251657054091589637421/25000000000000000000000 (/ (PI) (* z (sin (* z (PI))))))) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal -53758197989915921/720000000000000 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 6418621569060470797/30000000000000000 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (/.f64 #s(literal 14256251657054091589637421/25000000000000000000000 binary64) z) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) z))))
(* -1 (* z (+ (* -53758197989915921/720000000000000 (/ (PI) (sin (* z (PI))))) (* -1 (/ (+ (* -1 (/ (+ (* -11125329402537419134147167/6250000000000000000000 (/ (PI) (* z (sin (* z (PI)))))) (* -14256251657054091589637421/25000000000000000000000 (/ (PI) (sin (* z (PI)))))) z)) (* 6418621569060470797/30000000000000000 (/ (PI) (sin (* z (PI)))))) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal -53758197989915921/720000000000000 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 6418621569060470797/30000000000000000 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -11125329402537419134147167/6250000000000000000000 binary64) (PI.f64)) (*.f64 z (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (*.f64 (PI.f64) #s(literal -14256251657054091589637421/25000000000000000000000 binary64)) (sin.f64 (*.f64 z (PI.f64))))) z)) z)))
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 61549629395250298343008044520019/118540800000000000000000000000 z))))
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 61549629395250298343008044520019/118540800000000000000000000000 binary64)))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 61549629395250298343008044520019/118540800000000000000000000000 (* 11905977645951639154374123614369999/19914854400000000000000000000000 z))))))
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 61549629395250298343008044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 11905977645951639154374123614369999/19914854400000000000000000000000 binary64)))))))
(* 53758197989915921/720000000000000 z)
(*.f64 z #s(literal 53758197989915921/720000000000000 binary64))
(* z (+ 53758197989915921/720000000000000 (* 6418621569060470797/30000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 53758197989915921/720000000000000 binary64) (/.f64 #s(literal 6418621569060470797/30000000000000000 binary64) z)))
(* z (+ 53758197989915921/720000000000000 (+ (* 6418621569060470797/30000000000000000 (/ 1 z)) (/ 14256251657054091589637421/25000000000000000000000 (pow z 2)))))
(*.f64 z (+.f64 (+.f64 #s(literal 53758197989915921/720000000000000 binary64) (/.f64 #s(literal 6418621569060470797/30000000000000000 binary64) z)) (/.f64 #s(literal 14256251657054091589637421/25000000000000000000000 binary64) (*.f64 z z))))
(* z (+ 53758197989915921/720000000000000 (+ (* 6418621569060470797/30000000000000000 (/ 1 z)) (+ (* 11125329402537419134147167/6250000000000000000000 (/ 1 (pow z 3))) (/ 14256251657054091589637421/25000000000000000000000 (pow z 2))))))
(*.f64 z (+.f64 #s(literal 53758197989915921/720000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6418621569060470797/30000000000000000 binary64) z) (/.f64 #s(literal 11125329402537419134147167/6250000000000000000000 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 14256251657054091589637421/25000000000000000000000 binary64) (*.f64 z z)))))
(* 53758197989915921/720000000000000 z)
(*.f64 z #s(literal 53758197989915921/720000000000000 binary64))
(* z (+ 53758197989915921/720000000000000 (* 6418621569060470797/30000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 53758197989915921/720000000000000 binary64) (/.f64 #s(literal 6418621569060470797/30000000000000000 binary64) z)))
(* -1 (* z (- (* -1 (/ (+ 6418621569060470797/30000000000000000 (* 14256251657054091589637421/25000000000000000000000 (/ 1 z))) z)) 53758197989915921/720000000000000)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 (/.f64 (+.f64 #s(literal 6418621569060470797/30000000000000000 binary64) (/.f64 #s(literal 14256251657054091589637421/25000000000000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z)) #s(literal -53758197989915921/720000000000000 binary64))))
(* -1 (* z (- (* -1 (/ (+ 6418621569060470797/30000000000000000 (+ (* 14256251657054091589637421/25000000000000000000000 (/ 1 z)) (/ 11125329402537419134147167/6250000000000000000000 (pow z 2)))) z)) 53758197989915921/720000000000000)))
(*.f64 z (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 6418621569060470797/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 14256251657054091589637421/25000000000000000000000 binary64) z) (/.f64 #s(literal 11125329402537419134147167/6250000000000000000000 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) z)) #s(literal -53758197989915921/720000000000000 binary64))))

eval1.1s (1.2%)

Compiler

Compiled 92044 to 73026 computations (20.7% saved)

prune212.0ms (0.2%)

Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New89819917
Fresh23932
Picked235
Done011
Total92332955
Accuracy
100.0%
Counts
955 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
✓96.4%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
97.3%
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (/.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)))))))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
6.5%
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) z)) z)))
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))
▶98.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
▶6.5%
(*.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) z)) z)))
97.5%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 61549629395250298343008044520019/118540800000000000000000000000 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1106209385320415913103082059/25200000000000000000000000 binary64))))))) z))
97.0%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) z))
▶96.9%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (sin.f64 (*.f64 (PI.f64) z))))
97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
98.0%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 59493983178131529437839794393961/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 3 binary64) z) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal 779821713148594364211109354209/25000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 4 binary64) z) (-.f64 #s(literal 4 binary64) z)))) (-.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
✓97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.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))))
97.3%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)) (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
✓97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #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))))
21.3%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (*.f64 z (+.f64 #s(literal 53758197989915921/720000000000000 binary64) (/.f64 #s(literal 6418621569060470797/30000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))))
21.3%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 z (+.f64 (*.f64 (PI.f64) #s(literal 53758197989915921/720000000000000 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 6418621569060470797/30000000000000000 binary64)) z))) (sin.f64 (*.f64 (PI.f64) z))))
▶96.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
98.1%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 z (+.f64 (*.f64 (PI.f64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (*.f64 z (*.f64 (PI.f64) (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))))))))
97.1%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 396401817189495604203614369999/19914854400000000000000000000000 binary64)))))))))))))
✓97.5%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)))))))))))
97.1%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)))))))))
96.7%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))))))
98.7%
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z (+.f64 (*.f64 z (+.f64 (+.f64 #s(literal 10518672515958021245199210427501487599419060203801185232500000000000000000000000/4061002633389160552086903166986569819820350515671492555118277978522987932900594137 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -700000000000000000000000/1106209385320415913103082059 binary64))) (*.f64 z (+.f64 #s(literal 2559608846655735803014107326789498334412506726463067609134351953125000000000000000/596967387108206601156774765547025763513591525803709405602386862842879226136387338139 binary64) (+.f64 #s(literal -135109692220311294282897166931014535150011925648561927416115154899696957980380968752812500000000000000000000/31446234588062095388172056061930161586584230951575819331838982048813089398941717112959468100233944168757016581 binary64) (*.f64 #s(literal -102757979785251069442117317613/61947725577943291133772595304 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -700000000000000000000000/1106209385320415913103082059 binary64)))))))) #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))))))
98.6%
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z (+.f64 (*.f64 z (+.f64 #s(literal 10518672515958021245199210427501487599419060203801185232500000000000000000000000/4061002633389160552086903166986569819820350515671492555118277978522987932900594137 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -700000000000000000000000/1106209385320415913103082059 binary64)))) #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))))))
▶98.7%
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
97.6%
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64))))
96.9%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (exp.f64 (+.f64 (+.f64 z #s(literal -15/2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)))))))))))
96.9%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z))))
97.2%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
97.0%
(*.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))) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
97.1%
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z))))
Compiler

Compiled 2743 to 2231 computations (18.7% saved)

localize3.2s (3.6%)

Algorithm
1×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
✓cost-diff384
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))))
✓cost-diff640
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓cost-diff768
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))))
✓cost-diff768
(*.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) z)) z)))
✓cost-diff0
(*.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓cost-diff0
(*.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 z #s(literal -15/2 binary64)))))
✓cost-diff0
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (sin.f64 (*.f64 (PI.f64) z))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (PI.f64))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓cost-diff0
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 15 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
✓cost-diff768
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))))
✓cost-diff896
(+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)))))
✓cost-diff1152
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))
✓cost-diff1920
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
✓accuracy99.6%
(*.f64 z (PI.f64))
✓accuracy99.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 z (PI.f64)))))
✓accuracy98.5%
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy99.0%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (sin.f64 (*.f64 (PI.f64) z))))
✓accuracy98.5%
(*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))
✓accuracy98.5%
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy99.4%
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))))
✓accuracy99.2%
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
✓accuracy98.5%
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z)
✓accuracy99.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
✓accuracy98.4%
(*.f64 (PI.f64) #s(literal 15 binary64))
✓accuracy98.5%
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
✓accuracy98.5%
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy94.2%
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64)))
Rules
7082×accelerator-lowering-fma.f32
7082×accelerator-lowering-fma.f64
6332×*-lowering-*.f32
6332×*-lowering-*.f64
3040×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121133
1270999
2883967
35170939
47838939
08543925
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ 1 z) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(* (/ 1 z) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(/ 1 z)
1
z
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(sqrt (* 2 (PI)))
(* 2 (PI))
2
(PI)
(pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))
(+ 1/2 (+ (- 1 z) 6))
1/2
(+ (- 1 z) 6)
(- 1 z)
6
(+ (- 1 z) -1/2)
-1/2
(exp (+ 1/2 (+ (- 1 z) 6)))
(+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))))
(+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))
(/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))))
(+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1))
(* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))
(- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000)
(/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))
45767980848377092942628957760201/100000000000000000000000000
(* (- 1 z) (- 1 z))
99999999999961980000000003613801/100000000000000000000000000000000
(- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))
-2500000000000/3147848041806007
(/ (- z 1) -3147848041806007/2500000000000)
(- z 1)
-3147848041806007/2500000000000
(* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)
(- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000)
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
9999999999998099/10000000000000000
(* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))
(+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
(/ 7713234287776531/10000000000000 (+ (- 1 z) 2))
7713234287776531/10000000000000
(+ (- 1 z) 2)
(/ -883075145810703/5000000000000 (+ (- 1 z) 3))
-883075145810703/5000000000000
(+ (- 1 z) 3)
3
(+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))
(/ 2501468655737381/200000000000000 (+ (- 1 z) 4))
2501468655737381/200000000000000
(+ (- 1 z) 4)
4
(/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))
-3464277381643003/25000000000000000
(+ (- 1 z) 5)
5
(+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))
(/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6))
2496092394504893/250000000000000000000
(/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))
3764081837873279/25000000000000000000000
(+ (- 1 z) 7)
7
(* (sqrt (* (PI) 15)) (/ (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000) z))
(sqrt (* (PI) 15))
(* (PI) 15)
15
(/ (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000) z)
(* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000)
(exp -15/2)
-15/2
1106209385320415913103082059/4200000000000000000000000
(* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (* z (+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481)))))
(/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (* z (+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481))))
(* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
(exp (+ z -15/2))
(+ z -15/2)
(* z (+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481)))
(+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481))
4200000000000000000000000/1106209385320415913103082059
(* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481)
-7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (sin (* (PI) z))))
(* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))))
(sqrt (* (PI) 2))
(* (PI) 2)
(/ (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (sin (* (PI) z)))
(* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000)))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))
(* z 102757979785251069442117317613/235200000000000000000000000)
102757979785251069442117317613/235200000000000000000000000
(sin (* (PI) z))
(* (PI) z)
(* (* (* (PI) (/ 1 (sin (* z (PI))))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)))
(* (* (PI) (/ 1 (sin (* z (PI))))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(* (PI) (/ 1 (sin (* z (PI)))))
(/ 1 (sin (* z (PI))))
(sin (* z (PI)))
(* z (PI))
(- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z))
(/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)
(+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z))
611458333333720910362579/25000000000000000000000
(/ -1078390842009938509147167/6250000000000000000000 z)
-1078390842009938509147167/6250000000000000000000
Outputs
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(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
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(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
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(sqrt (* 2 (PI)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
(pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(+ 1/2 (+ (- 1 z) 6))
(-.f64 #s(literal 15/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(+ (- 1 z) 6)
(-.f64 #s(literal 7 binary64) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
6
#s(literal 6 binary64)
(+ (- 1 z) -1/2)
(-.f64 #s(literal 1/2 binary64) z)
-1/2
#s(literal -1/2 binary64)
(exp (+ 1/2 (+ (- 1 z) 6)))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
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45767980848377092942628957760201/100000000000000000000000000
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(* (- 1 z) (- 1 z))
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99999999999961980000000003613801/100000000000000000000000000000000
#s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)
(- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))
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#s(literal 3 binary64)
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#s(literal 4 binary64)
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#s(literal 5 binary64)
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#s(literal 7 binary64)
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15
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(exp -15/2)
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-15/2
#s(literal -15/2 binary64)
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#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
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#s(literal 15/2 binary64)
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
(exp (+ z -15/2))
(exp.f64 (+.f64 z #s(literal -15/2 binary64)))
(+ z -15/2)
(+.f64 z #s(literal -15/2 binary64))
(* z (+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481)))
(*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))
(+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481))
(+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))
4200000000000000000000000/1106209385320415913103082059
#s(literal 4200000000000000000000000/1106209385320415913103082059 binary64)
(* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481)
(*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))
-7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481
#s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (sin (* (PI) z))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (PI.f64)) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))) (sin.f64 (*.f64 z (PI.f64))))
(* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(* (PI) 2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(/ (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (sin (* (PI) z)))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000)))
(*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))
(* z 102757979785251069442117317613/235200000000000000000000000)
(*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))
102757979785251069442117317613/235200000000000000000000000
#s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)
(sin (* (PI) z))
(sin.f64 (*.f64 z (PI.f64)))
(* (PI) z)
(*.f64 z (PI.f64))
(* (* (* (PI) (/ 1 (sin (* z (PI))))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) z)) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(* (* (PI) (/ 1 (sin (* z (PI))))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (PI) (/ 1 (sin (* z (PI)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/ 1 (sin (* z (PI))))
(/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 z (PI.f64))))
(sin (* z (PI)))
(sin.f64 (*.f64 z (PI.f64)))
(* z (PI))
(*.f64 z (PI.f64))
(- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal -611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) z)) z))
(/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)
(/.f64 (+.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) z)) z)
(+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z))
(+.f64 #s(literal 611458333333720910362579/25000000000000000000000 binary64) (/.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) z))
611458333333720910362579/25000000000000000000000
#s(literal 611458333333720910362579/25000000000000000000000 binary64)
(/ -1078390842009938509147167/6250000000000000000000 z)
(/.f64 #s(literal -1078390842009938509147167/6250000000000000000000 binary64) z)
-1078390842009938509147167/6250000000000000000000
#s(literal -1078390842009938509147167/6250000000000000000000 binary64)
Results
1.4s256×0valid
Compiler

Compiled 1291 to 1042 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-sub: 259.0ms (21.4% of total)
ival-mult: 225.0ms (18.6% of total)
ival-add: 215.0ms (17.7% of total)
ival-div: 214.0ms (17.7% of total)
ival-pow: 144.0ms (11.9% of total)
ival-exp: 65.0ms (5.4% of total)
const: 50.0ms (4.1% of total)
ival-sqrt: 33.0ms (2.7% of total)
ival-sin: 4.0ms (0.3% of total)
ival-pi: 1.0ms (0.1% of total)
backward-pass: 1.0ms (0.1% of total)

series110.0ms (0.1%)

Counts
27 → 240
Calls
Call 1
Inputs
#<alt (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1))>
#<alt (sqrt (* 2 (PI)))>
#<alt (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))>
#<alt (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))>
#<alt (* (PI) 15)>
#<alt (* (sqrt (* (PI) 15)) (/ (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000) z))>
#<alt (/ (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000) z)>
#<alt (PI)>
#<alt (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))>
#<alt (* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (* z (+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481)))))>
#<alt (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (* z (+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481))))>
#<alt (sqrt (* (PI) 2))>
#<alt (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000)))>
#<alt (* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (sin (* (PI) z))))>
#<alt (* (PI) (/ 1 (sin (* z (PI)))))>
#<alt (* z (PI))>
#<alt (* (* (/ 1 z) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))>
#<alt (+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))>
#<alt (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))))>
#<alt (* (/ 1 z) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))>
#<alt (sqrt (* (PI) 15))>
#<alt (* 2 (PI))>
#<alt (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))))>
#<alt (* (PI) 2)>
#<alt (* (* (* (PI) (/ 1 (sin (* z (PI))))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)))>
#<alt (* (* (PI) (/ 1 (sin (* z (PI))))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))>
#<alt (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))>
Outputs
#<alt -3239171488526100880312595937844772199/62956960836120140000000000000000000>
#<alt (- (* -52120709903757078245430659528778613801/125913921672240280000000000000000000 z) 3239171488526100880312595937844772199/62956960836120140000000000000000000)>
#<alt (- (* z (- (* -6118036922008385701629976080561/7869620104515017500000000000 z) 52120709903757078245430659528778613801/125913921672240280000000000000000000)) 3239171488526100880312595937844772199/62956960836120140000000000000000000)>
#<alt (- (* z (- (* z (- (* -143656571600511264168708575049177/125913921672240280000000000000 z) 6118036922008385701629976080561/7869620104515017500000000000)) 52120709903757078245430659528778613801/125913921672240280000000000000000000)) 3239171488526100880312595937844772199/62956960836120140000000000000000000)>
#<alt (* -99999999999961980000000003613801/125913921672240280000000000000000000 z)>
#<alt (* -1 (* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)))))>
#<alt (* z (- (* -1 (/ (+ 62856960836108209901745053557772199/62956960836120140000000000000000000 (* 39415351792997107601807255991627/125913921672240280000000000000 (/ 1 z))) z)) 99999999999961980000000003613801/125913921672240280000000000000000000))>
#<alt (* z (- (* -1 (/ (+ 39415351792997107601807255991627/125913921672240280000000000000 (* 6765203681218851/10000000000000 (/ 1 z))) (pow z 2))) (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)))))>
#<alt (* -99999999999961980000000003613801/125913921672240280000000000000000000 z)>
#<alt (* -1 (* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)))))>
#<alt (* -1 (* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (+ (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)) (/ 39415351792997107601807255991627/125913921672240280000000000000 (pow z 2))))))>
#<alt (* -1 (* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (* -1 (/ (- (* -1 (/ (+ 39415351792997107601807255991627/125913921672240280000000000000 (* 6765203681218851/10000000000000 (/ 1 z))) z)) 62856960836108209901745053557772199/62956960836120140000000000000000000) 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)))))>
#<alt 12777243138120953/60000000000000>
#<alt (+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))>
#<alt (+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))>
#<alt (+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))>
#<alt (/ -47576671969241/80000000000 z)>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))>
#<alt (/ (- (* -1 (/ (+ 16075101696843969/10000000000000 (* 41160703924046283/10000000000000 (/ 1 z))) z)) 47576671969241/80000000000) z)>
#<alt (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)>
#<alt (/ -47576671969241/80000000000 z)>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))>
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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 (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2)))>
#<alt (+ (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))) (* (* z (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (sqrt (PI))))>
#<alt (+ (* z (+ (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (* (* z (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (sqrt (PI))))) (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))))>
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 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))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))>
#<alt (* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))>
#<alt (* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))>
#<alt (* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))>
#<alt (* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))>
Calls

60 calls:

TimeVariablePointExpression
16.0ms
z
@-inf
(* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (* z (+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481)))))
3.0ms
z
@-inf
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (sin (* (PI) z))))
2.0ms
z
@0
(* (* (/ 1 z) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
2.0ms
z
@0
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (sin (* (PI) z))))
2.0ms
z
@0
(* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (* z (+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481)))))

rewrite790.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
5380×*-lowering-*.f32
5380×*-lowering-*.f64
4270×/-lowering-/.f32
4270×/-lowering-/.f64
2784×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112636
1787562
08235543
Stop Event
1×iter limit
1×node limit
Counts
27 → 632
Calls
Call 1
Inputs
(+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1))
(sqrt (* 2 (PI)))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
(* (PI) 15)
(* (sqrt (* (PI) 15)) (/ (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000) z))
(/ (* (exp -15/2) 1106209385320415913103082059/4200000000000000000000000) z)
(PI)
(* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))
(* (sqrt (* 2 (PI))) (/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (* z (+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481)))))
(/ (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) (* z (+ 4200000000000000000000000/1106209385320415913103082059 (* z -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481))))
(sqrt (* (PI) 2))
(* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000)))
(* (* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))) (/ (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (sin (* (PI) z))))
(* (PI) (/ 1 (sin (* z (PI)))))
(* z (PI))
(* (* (/ 1 z) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(+ (+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(+ (+ (/ (+ (* (- (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))) 99999999999961980000000003613801/100000000000000000000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000))) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) 1)) (* (- (/ 6765203681218851/10000000000000 (- 1 z)) 9999999999998099/10000000000000000) (- -2500000000000/3147848041806007 (/ (- z 1) -3147848041806007/2500000000000)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))))
(* (/ 1 z) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(sqrt (* (PI) 15))
(* 2 (PI))
(* (sqrt (* (PI) 2)) (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))))
(* (PI) 2)
(* (* (* (PI) (/ 1 (sin (* z (PI))))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z)))
(* (* (PI) (/ 1 (sin (* z (PI))))) (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
Outputs
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal -9999999999998099/10000000000000000 binary64) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))))))
(+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))))
(+.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal -9999999999998099/10000000000000000 binary64))
(-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal -9999999999998099/10000000000000000 binary64) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))))
(fma.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))))
(fma.f64 (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))) (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)))
(fma.f64 #s(literal 6765203681218851/10000000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal -9999999999998099/10000000000000000 binary64) (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))))))
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(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))
(/.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) #s(literal 1 binary64)) (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))))) (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))))))
(*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 7 binary64) z))))
(*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 z (PI.f64))))) (PI.f64))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)))
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(*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))))
(*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1 binary64) z))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 z #s(literal 2 binary64))))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))

simplify1.5s (1.7%)

Algorithm
1×egg-herbie
Rules
12174×accelerator-lowering-fma.f32
12174×accelerator-lowering-fma.f64
9404×*-lowering-*.f32
9404×*-lowering-*.f64
4530×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09208734
130138387
090148042
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
-3239171488526100880312595937844772199/62956960836120140000000000000000000
(- (* -52120709903757078245430659528778613801/125913921672240280000000000000000000 z) 3239171488526100880312595937844772199/62956960836120140000000000000000000)
(- (* z (- (* -6118036922008385701629976080561/7869620104515017500000000000 z) 52120709903757078245430659528778613801/125913921672240280000000000000000000)) 3239171488526100880312595937844772199/62956960836120140000000000000000000)
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(* 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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(* (/ (* (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)
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(* (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))))))
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(* (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 (PI)) (* (sqrt 2) (sqrt 15/2)))
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(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))
Outputs
-3239171488526100880312595937844772199/62956960836120140000000000000000000
#s(literal -3239171488526100880312595937844772199/62956960836120140000000000000000000 binary64)
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(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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))))))
(+ (* z (+ (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (* (* z (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (sqrt (PI))))) (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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 z (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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))))))))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 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))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))))
(+.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 29/225 binary64) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64)))) #s(literal -29/3375 binary64)) (+.f64 (*.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))) #s(literal 86/10125 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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)))))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))
(*.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))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))
(*.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))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))
(*.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))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))
(*.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))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))
(*.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))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))
(*.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))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))
(*.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))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))
(*.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))))

eval1.4s (1.6%)

Compiler

Compiled 104354 to 85496 computations (18.1% saved)

prune379.0ms (0.4%)

Pruning

47 alts after pruning (42 fresh and 5 done)

PrunedKeptTotal
New1113251138
Fresh61723
Picked415
Done044
Total1123471170
Accuracy
100.0%
Counts
1170 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) z) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))
96.4%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) z) (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64))) (*.f64 (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 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 (/.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)))))))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))
97.3%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
✓96.4%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
96.6%
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
97.3%
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (/.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)))))))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))
98.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.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 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64))) (*.f64 (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)))))) (+.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)))))))
97.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
98.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -52120709903757078245430659528778613801/125913921672240280000000000000000000 binary64) z) #s(literal -3239171488526100880312595937844772199/62956960836120140000000000000000000 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
98.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 #s(literal 9876869457595968283/37500000000000000 binary64) (*.f64 z #s(literal 131068851705067315609/300000000000000000 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
97.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))
96.4%
(*.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
96.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))
97.0%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) z))
97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
98.0%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 59493983178131529437839794393961/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 3 binary64) z) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal 779821713148594364211109354209/25000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 4 binary64) z) (-.f64 #s(literal 4 binary64) z)))) (-.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
✓97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.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))))
97.3%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 2 binary64) z)) (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
✓97.2%
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (+.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 #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))))
98.6%
(*.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 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
98.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) z)) (/.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))))
96.0%
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))))
96.6%
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
97.5%
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
✓96.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
96.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
96.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))))
98.1%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 z (+.f64 (*.f64 (PI.f64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) (*.f64 z (*.f64 (PI.f64) (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))))))))
97.1%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 396401817189495604203614369999/19914854400000000000000000000000 binary64)))))))))))))
✓97.5%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)))))))))))
97.1%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 350291408665333106351952839/705600000000000000000000000 binary64)))))))))
96.7%
(*.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 z #s(literal -15/2 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) #s(literal 10409174657078461523082059/4200000000000000000000000 binary64)))))))
98.7%
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z (+.f64 (*.f64 z (+.f64 (+.f64 #s(literal 10518672515958021245199210427501487599419060203801185232500000000000000000000000/4061002633389160552086903166986569819820350515671492555118277978522987932900594137 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -700000000000000000000000/1106209385320415913103082059 binary64))) (*.f64 z (+.f64 #s(literal 2559608846655735803014107326789498334412506726463067609134351953125000000000000000/596967387108206601156774765547025763513591525803709405602386862842879226136387338139 binary64) (+.f64 #s(literal -135109692220311294282897166931014535150011925648561927416115154899696957980380968752812500000000000000000000/31446234588062095388172056061930161586584230951575819331838982048813089398941717112959468100233944168757016581 binary64) (*.f64 #s(literal -102757979785251069442117317613/61947725577943291133772595304 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -700000000000000000000000/1106209385320415913103082059 binary64)))))))) #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))))))
98.6%
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z (+.f64 (*.f64 z (+.f64 #s(literal 10518672515958021245199210427501487599419060203801185232500000000000000000000000/4061002633389160552086903166986569819820350515671492555118277978522987932900594137 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -700000000000000000000000/1106209385320415913103082059 binary64)))) #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))))))
97.6%
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64))))
98.7%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 z)) (exp.f64 #s(literal -15/2 binary64))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
97.3%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
97.3%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
96.9%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (exp.f64 (+.f64 (+.f64 z #s(literal -15/2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))) (+.f64 #s(literal 10409174657078461523082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 350291408665333106351952839/705600000000000000000000000 binary64) (*.f64 z #s(literal 11784999493416810208044520019/118540800000000000000000000000 binary64)))))))))))
98.2%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (exp.f64 (+.f64 (+.f64 z #s(literal -15/2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
98.7%
(*.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)) (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))) (/.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) z)))
96.9%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z))))
97.2%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
96.4%
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))))
95.7%
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
97.4%
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) z))
Compiler

Compiled 7124 to 5710 computations (19.8% saved)

regimes134.0ms (0.2%)

Counts
98 → 1
Calls
Call 1
Inputs
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(*.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 #s(literal 1 binary64) (+.f64 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))))))
(*.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))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
(*.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 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)) #s(literal 2500000000000/3147848041806007 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)) #s(literal 2500000000000/3147848041806007 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))))))
(*.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 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.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))))))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
Calls

2 calls:

35.0ms
(*.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))))))
32.0ms
z
Results
AccuracySegmentsBranch
99.3%1z
99.3%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 126 to 111 computations (11.9% saved)

regimes121.0ms (0.1%)

Counts
95 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
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(*.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 #s(literal 1 binary64) (+.f64 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))))))
(*.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))))))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
Calls

2 calls:

32.0ms
(*.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))))))
28.0ms
z
Results
AccuracySegmentsBranch
99.3%1z
99.3%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 126 to 111 computations (11.9% saved)

regimes46.0ms (0.1%)

Counts
88 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
(*.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64))))
(*.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)) (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))) (/.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) z)))
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) z)) (/.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))))
(*.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 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) z))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (+.f64 (+.f64 z #s(literal -15/2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z))))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.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))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.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 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64))) (*.f64 (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)))))) (+.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)))))))
Calls

1 calls:

33.0ms
z
Results
AccuracySegmentsBranch
98.8%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0%)

Counts
34 → 1
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
(*.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
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(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64))))
(*.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)) (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))) (/.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) z)))
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) z)) (/.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))))
(*.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 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) z))
(/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) z) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (exp.f64 (+.f64 (+.f64 z #s(literal -15/2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z (+.f64 (*.f64 z (+.f64 #s(literal 10518672515958021245199210427501487599419060203801185232500000000000000000000000/4061002633389160552086903166986569819820350515671492555118277978522987932900594137 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -700000000000000000000000/1106209385320415913103082059 binary64)))) #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))))))
(*.f64 (*.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 z #s(literal -15/2 binary64))))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 61549629395250298343008044520019/118540800000000000000000000000 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1106209385320415913103082059/25200000000000000000000000 binary64))))))) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z (+.f64 (*.f64 z (+.f64 (+.f64 #s(literal 10518672515958021245199210427501487599419060203801185232500000000000000000000000/4061002633389160552086903166986569819820350515671492555118277978522987932900594137 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -700000000000000000000000/1106209385320415913103082059 binary64))) (*.f64 z (+.f64 #s(literal 2559608846655735803014107326789498334412506726463067609134351953125000000000000000/596967387108206601156774765547025763513591525803709405602386862842879226136387338139 binary64) (+.f64 #s(literal -135109692220311294282897166931014535150011925648561927416115154899696957980380968752812500000000000000000000/31446234588062095388172056061930161586584230951575819331838982048813089398941717112959468100233944168757016581 binary64) (*.f64 #s(literal -102757979785251069442117317613/61947725577943291133772595304 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -700000000000000000000000/1106209385320415913103082059 binary64)))))))) #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 #s(literal 9876869457595968283/37500000000000000 binary64) (*.f64 z #s(literal 131068851705067315609/300000000000000000 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -52120709903757078245430659528778613801/125913921672240280000000000000000000 binary64) z) #s(literal -3239171488526100880312595937844772199/62956960836120140000000000000000000 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (-.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3147848041806007/2500000000000 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z))) z) (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64))) (*.f64 (+.f64 #s(literal -2500000000000/3147848041806007 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 3147848041806007/2500000000000 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -9999999999998099/10000000000000000 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 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 (/.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)))))))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))
Outputs
(*.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)) (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64)))) (/.f64 (exp.f64 (+.f64 z #s(literal -15/2 binary64))) z)))
Calls

1 calls:

12.0ms
z
Results
AccuracySegmentsBranch
98.7%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
(*.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64))))
Outputs
(*.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 z #s(literal -15/2 binary64)))) (*.f64 z #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64))))
Calls

1 calls:

6.0ms
z
Results
AccuracySegmentsBranch
97.6%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
(*.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (*.f64 z (+.f64 #s(literal 4200000000000000000000000/1106209385320415913103082059 binary64) (*.f64 z #s(literal -7706848483893830208158798820975000000000000000000000/1223699204170972405458614049551529263107435644887679481 binary64))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
Calls

1 calls:

12.0ms
z
Results
AccuracySegmentsBranch
97.5%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
(*.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z))
Outputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) z))
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
97.4%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z))))
Outputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z))))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
97.1%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))))
Calls

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
96.6%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) z)
Outputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
96.6%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (exp.f64 #s(literal -15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64))) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z))
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
96.5%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
Outputs
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (sqrt.f64 (*.f64 (PI.f64) #s(literal 15 binary64)))))
Calls

1 calls:

0.0ms
z
Results
AccuracySegmentsBranch
95.7%1z
Compiler

Compiled 2 to 1 computations (50% saved)

soundness8.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 470 to 389 computations (17.2% saved)

preprocess226.0ms (0.3%)

Compiler

Compiled 1188 to 998 computations (16% saved)

end0.0ms (0%)

Profiling

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