Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 2.5min)

analyze860.0ms (0.6%)

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 61 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 650.0ms
...c/correct-round.rkt:119:19: 205.0ms (31.5% of total)
ival-add: 149.0ms (22.9% of total)
ival-div: 82.0ms (12.6% of total)
ival-mult: 70.0ms (10.8% of total)
ival-pow: 64.0ms (9.8% of total)
ival-sin: 18.0ms (2.8% of total)
ival-sub: 15.0ms (2.3% of total)
ival-sqrt: 11.0ms (1.7% of total)
const: 8.0ms (1.2% of total)
ival-<=: 8.0ms (1.2% of total)
ival-exp: 7.0ms (1.1% of total)
ival-neg: 7.0ms (1.1% of total)
ival-pi: 6.0ms (0.9% of total)
backward-pass: 1.0ms (0.2% of total)

sample2.3min (91%)

Results
1.7min3907×5exit
30.1s8256×0valid
54.0ms92×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 2.2min
ival-sin: 1.1min (48.6% of total)
ival-add: 28.2s (21.2% of total)
...c/correct-round.rkt:119:19: 20.9s (15.7% of total)
ival-mult: 14.0s (10.5% of total)
backward-pass: 1.5s (1.1% of total)
ival-div: 1.2s (0.9% of total)
ival-pow: 749.0ms (0.6% of total)
ival-pi: 576.0ms (0.4% of total)
ival-sqrt: 318.0ms (0.2% of total)
ival-exp: 249.0ms (0.2% of total)
ival-sub: 232.0ms (0.2% of total)
ival-<=: 129.0ms (0.1% of total)
ival-neg: 114.0ms (0.1% of total)
const: 96.0ms (0.1% of total)
Bogosity

preprocess250.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
4058×*-lowering-*.f32
4058×*-lowering-*.f64
3448×+-lowering-+.f64
3448×+-lowering-+.f32
1820×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0100316
1292270
21463206
06097
116489
271170
3620968
0821468
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 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #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 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (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))) (* (sum5 (sum5 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)) (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))) (/ (PI) (sin (* (PI) z)))))
(* (/ (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)))) (* (pow (+ z 15/2) (+ z 1/2)) (* (* (sqrt (* (PI) 2)) (exp (- -15/2 z))) (sum5 (sum5 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ z 1)) (/ -3147848041806007/2500000000000 (+ z 2)) (/ 7713234287776531/10000000000000 (+ z 3)) (/ -883075145810703/5000000000000 (+ z 4))) (/ 2501468655737381/200000000000000 (+ z 5)) (/ -3464277381643003/25000000000000000 (+ z 6)) (/ 2496092394504893/250000000000000000000 (+ z 7)) (/ 3764081837873279/25000000000000000000000 (+ z 8))))))
(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))) (* (pow (+ z 15/2) (+ z 1/2)) (* (* (sqrt (* (PI) 2)) (exp (- -15/2 z))) (sum5 (sum5 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ z 1)) (/ -3147848041806007/2500000000000 (+ z 2)) (/ 7713234287776531/10000000000000 (+ z 3)) (/ -883075145810703/5000000000000 (+ z 4))) (/ 2501468655737381/200000000000000 (+ z 5)) (/ -3464277381643003/25000000000000000 (+ z 6)) (/ 2496092394504893/250000000000000000000 (+ z 7)) (/ 3764081837873279/25000000000000000000000 (+ z 8))))))

explain1.2s (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
10-0-(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
10-0-(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-#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)))
00-0-(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))
00-0-#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
781.0ms474×1valid
23.0ms38×0valid
Compiler

Compiled 1914 to 182 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 609.0ms
...c/correct-round.rkt:119:19: 171.0ms (28.1% of total)
ival-add: 138.0ms (22.7% of total)
ival-mult: 81.0ms (13.3% of total)
backward-pass: 69.0ms (11.3% of total)
ival-div: 60.0ms (9.9% of total)
ival-pow: 31.0ms (5.1% of total)
ival-sub: 12.0ms (2% of total)
ival-exp: 10.0ms (1.6% of total)
ival-sin: 10.0ms (1.6% of total)
ival-neg: 9.0ms (1.5% of total)
ival-sqrt: 8.0ms (1.3% of total)
ival-pi: 6.0ms (1% of total)
const: 6.0ms (1% of total)

eval1.0ms (0%)

Compiler

Compiled 75 to 58 computations (22.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.0%
(*.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))))))
▶97.7%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #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 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 199 to 118 computations (40.7% saved)

simplify186.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 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 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))
✓cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #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 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))
✓cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #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 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓cost-diff0
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #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 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Rules
3844×+-lowering-+.f64
3844×+-lowering-+.f32
2798×*-lowering-*.f32
2798×*-lowering-*.f64
1672×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093988
1247958
21093904
08812904
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z)))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z)))
9999999999998099/10000000000000000
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(- 1 z)
1
z
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
2
(/ 7713234287776531/10000000000000 (- 3 z))
7713234287776531/10000000000000
(- 3 z)
3
(/ -883075145810703/5000000000000 (- 4 z))
-883075145810703/5000000000000
(- 4 z)
4
(/ 2501468655737381/200000000000000 (- 5 z))
2501468655737381/200000000000000
(- 5 z)
5
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(PI)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
1/2
(exp (- 15/2 z))
(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)))
(PI)
(sin (* (PI) z))
(* (PI) z)
z
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(+ (- (- 1 z) 1) 7)
(- (- 1 z) 1)
(- 1 z)
1
7
1/2
(+ (- (- 1 z) 1) 1/2)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)))
9999999999998099/10000000000000000
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
6765203681218851/10000000000000
(+ (- (- 1 z) 1) 1)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
-3147848041806007/2500000000000
(+ (- (- 1 z) 1) 2)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
7713234287776531/10000000000000
(+ (- (- 1 z) 1) 3)
3
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
-883075145810703/5000000000000
(+ (- (- 1 z) 1) 4)
4
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
2501468655737381/200000000000000
(+ (- (- 1 z) 1) 5)
5
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
-3464277381643003/25000000000000000
(+ (- (- 1 z) 1) 6)
6
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
2496092394504893/250000000000000000000
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
3764081837873279/25000000000000000000000
(+ (- (- 1 z) 1) 8)
8
Outputs
(* (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (PI.f64) (+.f64 (/.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 (/.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)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+.f64 (/.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 (/.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)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+.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 -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z)))
(+.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)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(/ 6765203681218851/10000000000000 (- 1 z))
(/.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)
z
(/ -3147848041806007/2500000000000 (- 2 z))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(- 2 z)
(-.f64 #s(literal 2 binary64) z)
2
#s(literal 2 binary64)
(/ 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))
(/.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)
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))
(/ 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)
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))
(/ -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))
(/.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)
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(/.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)) (PI.f64))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(PI)
(PI.f64)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/.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 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(*.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)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(* (PI) 2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(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)
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(sin (* (PI) z))
(sin.f64 (*.f64 z (PI.f64)))
(* (PI) z)
(*.f64 z (PI.f64))
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (PI.f64) (+.f64 (/.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 (/.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)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/ (PI) (sin (* (PI) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI)
(PI.f64)
(sin (* (PI) z))
(sin.f64 (*.f64 z (PI.f64)))
(* (PI) z)
(*.f64 z (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 (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 (+.f64 (/.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 (/.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)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 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 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(*.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)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(* (PI) 2)
(*.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(-.f64 #s(literal 15/2 binary64) z)
(+ (- (- 1 z) 1) 7)
(-.f64 #s(literal 7 binary64) z)
(- (- 1 z) 1)
(-.f64 #s(literal 0 binary64) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
7
#s(literal 7 binary64)
1/2
#s(literal 1/2 binary64)
(+ (- (- 1 z) 1) 1/2)
(-.f64 #s(literal 1/2 binary64) z)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64))))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
(+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64)))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.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)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #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))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.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)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.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 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 -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 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 -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+.f64 (/.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 #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)))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(+ (- (- 1 z) 1) 1)
(-.f64 #s(literal 1 binary64) z)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(+ (- (- 1 z) 1) 2)
(-.f64 #s(literal 2 binary64) z)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(+ (- (- 1 z) 1) 3)
(-.f64 #s(literal 3 binary64) z)
3
#s(literal 3 binary64)
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
-883075145810703/5000000000000
#s(literal -883075145810703/5000000000000 binary64)
(+ (- (- 1 z) 1) 4)
(-.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(+ (- (- 1 z) 1) 5)
(-.f64 #s(literal 5 binary64) z)
5
#s(literal 5 binary64)
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(+ (- (- 1 z) 1) 6)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+ (- (- 1 z) 1) 8)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)

localize854.0ms (0.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
✓accuracy95.7%
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓accuracy8.0%
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓accuracy98.5%
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(/.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)))
✓accuracy95.7%
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
Results
575.0ms237×1valid
18.0ms19×0valid
Compiler

Compiled 1332 to 94 computations (92.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 383.0ms
...c/correct-round.rkt:119:19: 76.0ms (19.8% of total)
ival-div: 70.0ms (18.3% of total)
backward-pass: 59.0ms (15.4% of total)
ival-add: 58.0ms (15.1% of total)
ival-mult: 33.0ms (8.6% of total)
ival-sub: 32.0ms (8.4% of total)
ival-pow: 27.0ms (7% of total)
ival-exp: 12.0ms (3.1% of total)
ival-sin: 4.0ms (1% of total)
const: 4.0ms (1% of total)
ival-sqrt: 4.0ms (1% of total)
ival-neg: 3.0ms (0.8% of total)
ival-pi: 2.0ms (0.5% of total)

series50.0ms (0%)

Counts
15 → 168
Calls
Call 1
Inputs
#<alt (* (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))>
#<alt (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))>
#<alt (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))>
#<alt (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))>
#<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)))>
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Outputs
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#<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)) (* (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))))>
Calls

42 calls:

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

rewrite829.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
4208×/-lowering-/.f32
4208×/-lowering-/.f64
4144×*-lowering-*.f32
4144×*-lowering-*.f64
2368×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093556
1824525
08355525
Stop Event
1×iter limit
1×node limit
Counts
15 → 276
Calls
Call 1
Inputs
(* (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 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)))))
(* (* (* (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)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(sqrt (* (PI) 2))
(/ 7713234287776531/10000000000000 (- 3 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))))
Outputs
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #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 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))) (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))))) (/.f64 (PI.f64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))) (*.f64 (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) 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simplify794.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
6762×*-lowering-*.f32
6762×*-lowering-*.f64
3244×+-lowering-+.f64
3244×+-lowering-+.f32
1602×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06645007
123074740
083274740
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
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9999999999998099/10000000000000000
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(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
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(* (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)))))
7713234287776531/30000000000000
(+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))
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(/ -7713234287776531/10000000000000 z)
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(/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) (pow z 2))) (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z)))) z)
(/ -7713234287776531/10000000000000 z)
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(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))
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479507597606835099/10000000000000000
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(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
Outputs
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(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z)) #s(literal -5826188486005177/10000000000000 binary64)) z))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))) (*.f64 z (+.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64))))) (+.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 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64)))))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))

eval188.0ms (0.1%)

Compiler

Compiled 105747 to 4439 computations (95.8% saved)

prune189.0ms (0.1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New72128749
Fresh000
Picked202
Done000
Total72328751
Accuracy
99.6%
Counts
751 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(/.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.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)))
98.9%
(/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (-.f64 (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))) (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (-.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))))
97.6%
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #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 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
98.4%
(/.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.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))))))) (sin.f64 (*.f64 z (PI.f64))))
98.5%
(/.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.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)))))))))
97.3%
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
97.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64)))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/8400000000000000000000000 binary64))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))))) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))))))))
98.8%
(*.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.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)))))))
97.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))) (*.f64 z (+.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64))))) (+.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 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 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))))))
97.9%
(*.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)))))))
97.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.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)))))
▶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)))
96.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64)))))
98.5%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #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 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (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 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))))
98.9%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
▶98.8%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.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 (/.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 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
98.4%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z #s(literal 314207804027640689/720000000000000 binary64))) (/.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 (/.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 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
98.8%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64))))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.2%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
▶98.9%
(*.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.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))))))
▶97.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
96.4%
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 4436 to 2560 computations (42.3% saved)

simplify649.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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-diff896
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.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 (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 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.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 (*.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.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)))
✓cost-diff0
(+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))))
✓cost-diff0
(+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))
✓cost-diff0
(+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.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 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓cost-diff0
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.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 (/.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 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) 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))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 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))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 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-diff896
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.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))))))
Rules
5276×+-lowering-+.f64
5276×+-lowering-+.f32
5162×*-lowering-*.f32
5162×*-lowering-*.f64
1900×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01201787
13221424
215401334
085681334
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))))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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))))
(+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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))))
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))))
9999999999998099/10000000000000000
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(/ -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 2) (sqrt 15/2)) (/ (exp -15/2) z)) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))
(* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z))
(* (sqrt 2) (sqrt 15/2))
(sqrt 2)
2
(sqrt 15/2)
15/2
(/ (exp -15/2) z)
(exp -15/2)
-15/2
z
(* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)
(sqrt (PI))
(PI)
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))
(/ (PI) (sin (* (PI) z)))
(PI)
(sin (* (PI) z))
(* (PI) z)
z
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) 1106209385320415913103082059/4200000000000000000000000)
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(+ (- (- 1 z) 1) 7)
(- (- 1 z) 1)
(- 1 z)
1
7
1/2
(+ (- (- 1 z) 1) 1/2)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
1106209385320415913103082059/4200000000000000000000000
(* (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))))
7827144361880981797/30000000000000000
(* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))
z
(+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))
314207804027640689/720000000000000
(* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))
(+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))
4708246094784852251/8640000000000000
(* z 62898174544540606049/103680000000000000)
62898174544540606049/103680000000000000
(/ 2501468655737381/200000000000000 (- 5 z))
2501468655737381/200000000000000
(- 5 z)
5
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(PI)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
1/2
(exp (- 15/2 z))
(sin (* (PI) z))
(* (PI) z)
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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))))) (/ (sin (* z (PI))) (PI)))
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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)))))
(/ (* (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)
1
z
6
(+ (- 1 z) -1/2)
-1/2
(exp (+ 1/2 (+ (- 1 z) 6)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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))))
(+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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))))
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))))
9999999999998099/10000000000000000
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(/ -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
(/ (sin (* z (PI))) (PI))
(sin (* z (PI)))
(* z (PI))
Outputs
(* (* (/ (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 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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 (PI.f64) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.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))))))))
(* (/ (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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) 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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))
(sqrt (* 2 (PI)))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(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)
1
#s(literal 1 binary64)
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))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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))))
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15/2
#s(literal 15/2 binary64)
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(sin (* (PI) z))
(sin.f64 (*.f64 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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))))) (/ (sin (* z (PI))) (PI)))
(*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.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))))))))
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.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))))))))
(/ (* (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)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))
(sqrt (* 2 (PI)))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
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)
1
#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))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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 #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 #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)))))))
(+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -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))))
(+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 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 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))))
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(+.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)
(/ -3147848041806007/2500000000000 (+ (- 1 z) 1))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(+ (- 1 z) 1)
(-.f64 #s(literal 2 binary64) z)
(+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
(+.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 (+ (- 1 z) 2))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(+ (- 1 z) 2)
(-.f64 #s(literal 3 binary64) z)
(/ -883075145810703/5000000000000 (+ (- 1 z) 3))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
-883075145810703/5000000000000
#s(literal -883075145810703/5000000000000 binary64)
(+ (- 1 z) 3)
(-.f64 #s(literal 4 binary64) z)
3
#s(literal 3 binary64)
(+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))
(+.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)))
(/ 2501468655737381/200000000000000 (+ (- 1 z) 4))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(+ (- 1 z) 4)
(-.f64 #s(literal 5 binary64) z)
4
#s(literal 4 binary64)
(/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(+ (- 1 z) 5)
(-.f64 #s(literal 6 binary64) z)
5
#s(literal 5 binary64)
(+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))
(+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))
(/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+ (- 1 z) 7)
(-.f64 #s(literal 8 binary64) z)
7
#s(literal 7 binary64)
(/ (sin (* z (PI))) (PI))
(/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))
(sin (* z (PI)))
(sin.f64 (*.f64 (PI.f64) z))
(* z (PI))
(*.f64 (PI.f64) z)

localize7.5s (5%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(/.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)))
✓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))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(*.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)))))
✓accuracy8.0%
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))
✓accuracy99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
✓accuracy99.2%
(/.f64 (exp.f64 #s(literal -15/2 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))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy98.3%
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
✓accuracy98.2%
(/.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)))))
Results
7.0s240×1valid
25.0ms16×0valid
Compiler

Compiled 1803 to 121 computations (93.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.8s
ival-add: 6.2s (91.7% of total)
ival-mult: 140.0ms (2.1% of total)
...c/correct-round.rkt:119:19: 129.0ms (1.9% of total)
ival-div: 88.0ms (1.3% of total)
backward-pass: 68.0ms (1% of total)
ival-pow: 55.0ms (0.8% of total)
ival-exp: 25.0ms (0.4% of total)
ival-sub: 22.0ms (0.3% of total)
ival-sqrt: 19.0ms (0.3% of total)
ival-sin: 8.0ms (0.1% of total)
ival-pi: 4.0ms (0.1% of total)
const: 4.0ms (0.1% of total)
ival-neg: 3.0ms (0% of total)

end0.0ms (0%)

Profiling

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