VandenBroeck and Keller, Equation (20)

Time bar (total: 20.3s)

analyze397.0ms (2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%25%12.5%4
0%0%56.2%0%0%25%18.7%5
6.3%3.1%46.9%0%0%28.1%21.9%6
6.5%3.1%45.3%0%0%28.1%23.4%7
8.3%3.9%42.9%0%0%28.9%24.2%8
9.2%4.3%42.6%0%0%28.9%24.2%9
10%4.7%42%0%0%29.1%24.2%10
10.5%4.9%41.7%0%0%29.2%24.2%11
10.5%4.9%41.6%0%0%29.2%24.3%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 263.0ms
ival-div: 73.0ms (27.7% of total)
ival-mult: 73.0ms (27.7% of total)
ival-exp: 41.0ms (15.6% of total)
ival-neg: 25.0ms (9.5% of total)
ival-add: 14.0ms (5.3% of total)
ival-pi: 11.0ms (4.2% of total)
ival-sub: 10.0ms (3.8% of total)
ival-log: 10.0ms (3.8% of total)
const: 5.0ms (1.9% of total)
backward-pass: 1.0ms (0.4% of total)

sample10.0s (49.2%)

Results
4.3s7064×1valid
3.4s6537×1invalid
213.0ms1020×0valid
339.0ms172×2valid
2.0ms0invalid
1.0ms0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 7.4s
ival-div: 1.7s (23.4% of total)
ival-exp: 1.6s (22.3% of total)
ival-mult: 1.5s (19.8% of total)
backward-pass: 931.0ms (12.6% of total)
ival-neg: 426.0ms (5.8% of total)
ival-log: 367.0ms (5% of total)
ival-pi: 354.0ms (4.8% of total)
ival-add: 191.0ms (2.6% of total)
ival-sub: 174.0ms (2.4% of total)
const: 97.0ms (1.3% of total)
Bogosity

preprocess375.0ms (1.8%)

Algorithm
egg-herbie
Rules
1850×fma-define
839×fma-neg
353×distribute-lft-in
325×distribute-rgt-in
303×div-sub
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
033584
192484
2250484
3630484
41254484
51914484
62508484
72719484
83048484
93270484
103714364
114435316
124891316
135709316
146279316
156349316
166493316
176645316
186661316
196949316
Stop Event
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))))
(neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f) (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f) (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))))
(*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (neg.f64 f))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (neg.f64 f))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)))))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)))) (PI.f64)))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))) (PI.f64)))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))

explain1.5s (7.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2510-0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
30-0-(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
10-0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
10-0-(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
10-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
00-0-(PI.f64)
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-(/.f64 (PI.f64) #s(literal 4 binary64))
00-0-(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
00-0-f
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
00-0-#s(literal 4 binary64)
00-0-(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
00-0-#s(literal 1 binary64)
Results
1.1s484×1valid
17.0ms20×0valid
46.0ms2valid
Compiler

Compiled 434 to 320 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-div: 248.0ms (23.2% of total)
ival-exp: 241.0ms (22.6% of total)
ival-mult: 204.0ms (19.1% of total)
backward-pass: 99.0ms (9.3% of total)
ival-pi: 82.0ms (7.7% of total)
ival-neg: 76.0ms (7.1% of total)
ival-log: 41.0ms (3.8% of total)
ival-add: 35.0ms (3.3% of total)
ival-sub: 26.0ms (2.4% of total)
const: 15.0ms (1.4% of total)

eval3.0ms (0%)

Compiler

Compiled 236 to 174 computations (26.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

localize164.0ms (0.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (PI.f64) f)
99.6%
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))
99.6%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64))))
99.4%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
Results
112.0ms252×0valid
7.0ms2valid
Compiler

Compiled 113 to 77 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 37.0ms (40.7% of total)
ival-div: 19.0ms (20.9% of total)
ival-expm1: 17.0ms (18.7% of total)
ival-log: 8.0ms (8.8% of total)
ival-add: 5.0ms (5.5% of total)
const: 3.0ms (3.3% of total)
ival-pi: 1.0ms (1.1% of total)
backward-pass: 1.0ms (1.1% of total)

series89.0ms (0.4%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))>
#<alt (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64))))>
#<alt (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))>
#<alt (*.f64 (PI.f64) f)>
Outputs
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))))) (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (*.f64 f (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 6 binary64) (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/960 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))))))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal 1/960 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))))))))) (PI.f64))))))))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
Calls

12 calls:

TimeVariablePointExpression
40.0ms
f
@inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
34.0ms
f
@-inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
8.0ms
f
@0
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
1.0ms
f
@-inf
(/ -1 (- (exp (* (* -1/2 f) (PI))) 1))
1.0ms
f
@0
(/ -1 (- (exp (* (* -1/2 f) (PI))) 1))

rewrite249.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
770×prod-diff
743×log1p-expm1-u
458×expm1-log1p-u
146×associate-*r*
140×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024147
1323147
24715147
Stop Event
node limit
Counts
4 → 89
Calls
Call 1
Inputs
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))
(*.f64 (PI.f64) f)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal -4 binary64))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal -4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 4 binary64)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal 1 binary64)))

simplify99.0ms (0.5%)

Algorithm
egg-herbie
Rules
667×distribute-lft-in
666×distribute-rgt-in
513×associate-+l+
462×associate-+r+
185×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02975642
17535290
225635058
Stop Event
node limit
Counts
137 → 126
Calls
Call 1
Inputs
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(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))))
(fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (neg.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))))))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/12 binary64))))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))))) (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))
(fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 f (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f #s(literal 2 binary64)) (neg.f64 (fma.f64 f (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -2 binary64))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64))) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -2 binary64))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(+.f64 (*.f64 (PI.f64) f) #s(literal 0 binary64))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 1 binary64))
(*.f64 (PI.f64) f)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) #s(literal 3 binary64))
(*.f64 (PI.f64) f)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (PI.f64) f)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) #s(literal 2 binary64))
(*.f64 (PI.f64) f)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(*.f64 (PI.f64) f)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (PI.f64) f)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(+.f64 (*.f64 (PI.f64) f) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal 1 binary64)))
(*.f64 (PI.f64) f)

eval44.0ms (0.2%)

Compiler

Compiled 3742 to 2814 computations (24.8% saved)

prune25.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1188126
Fresh000
Picked011
Done000
Total1189127
Accuracy
99.4%
Counts
127 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
97.6%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
40.8%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.0%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
99.0%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
8.1%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) f)))) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
97.1%
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
99.2%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
Compiler

Compiled 409 to 333 computations (18.6% saved)

localize987.0ms (4.9%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64))))
99.5%
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
99.4%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
40.2%
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64))
99.6%
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
99.5%
(*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
98.4%
(*.f64 (PI.f64) #s(literal 1/12 binary64))
96.9%
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
99.6%
(*.f64 (PI.f64) f)
99.6%
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))
99.4%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)
99.4%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
99.6%
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
99.6%
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
96.9%
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
99.6%
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
99.6%
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
99.6%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
99.6%
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))
Results
623.0ms252×0valid
67.0ms2valid
Compiler

Compiled 521 to 360 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 588.0ms
ival-mult: 153.0ms (26% of total)
ival-div: 145.0ms (24.7% of total)
ival-pow: 96.0ms (16.3% of total)
ival-log: 73.0ms (12.4% of total)
ival-expm1: 66.0ms (11.2% of total)
ival-add: 23.0ms (3.9% of total)
const: 16.0ms (2.7% of total)
ival-sub: 11.0ms (1.9% of total)
backward-pass: 4.0ms (0.7% of total)
ival-pi: 1.0ms (0.2% of total)

series152.0ms (0.7%)

Counts
16 → 141
Calls
Call 1
Inputs
#<alt (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))>
#<alt (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))>
#<alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))>
#<alt (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))>
#<alt (*.f64 (PI.f64) #s(literal 1/12 binary64))>
#<alt (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))>
#<alt (pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))>
#<alt (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))>
Outputs
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))))) (*.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (*.f64 f (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 6 binary64) (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/960 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))))))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal 1/960 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))))))))) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))>
#<alt (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))>
#<alt (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))>
#<alt (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))>
#<alt (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))>
#<alt (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))>
#<alt (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))>
#<alt (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))>
#<alt (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f)))) (PI.f64))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f)))) (PI.f64))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f)))) (PI.f64))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f)))) (PI.f64))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) f))))) (PI.f64))>
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#<alt (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) f))))) (PI.f64))>
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#<alt (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f))))>
#<alt (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f))))>
#<alt (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f))))>
#<alt (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f))))>
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#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (*.f64 (PI.f64) (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (*.f64 (PI.f64) (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (*.f64 (PI.f64) (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (*.f64 (PI.f64) (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))>
Calls

39 calls:

TimeVariablePointExpression
55.0ms
f
@0
(/ (- (log (/ 4 (PI))) (log f)) (PI))
26.0ms
f
@-inf
(* (log (+ (/ 1 (- (exp (* (pow (pow (* (PI) f) 3) 1/3) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
19.0ms
f
@-inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f))) (/ -4 (PI)))
13.0ms
f
@-inf
(/ (- (log (/ 4 (PI))) (log f)) (PI))
7.0ms
f
@inf
(/ (- (log (/ 4 (PI))) (log f)) (PI))

rewrite147.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
365×log1p-expm1-u
360×expm1-log1p-u
352×add-exp-log
350×add-cube-cbrt
346×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061506
11072506
Stop Event
node limit
Counts
16 → 289
Calls
Call 1
Inputs
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal -1 binary64))
(log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))
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(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)))
(*.f64 (*.f64 f (PI.f64)) (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))
(*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) (*.f64 f (PI.f64)))
(*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 f (PI.f64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 f (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 f (PI.f64)))) #s(literal 1 binary64)))

simplify338.0ms (1.7%)

Algorithm
egg-herbie
Rules
456×associate-*r*
418×associate-*l*
362×fma-define
307×times-frac
279×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079417676
1185017144
2630917106
Stop Event
node limit
Counts
430 → 405
Calls
Call 1
Inputs
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))))) (*.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (*.f64 f (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 6 binary64) (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/960 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))))))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal 1/960 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))))))))) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))
(/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))
(/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))
(/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))
(/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))
(/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))
(/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))
(/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))
(/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64))
(/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)
(/.f64 (+.f64 (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)
(/.f64 (+.f64 (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)
(/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)
(/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) f))))) (PI.f64))
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(pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(log1p.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 f #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 f #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 f #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 f #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 f (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 f #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 f #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 f #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 f #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 f #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 f #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 f #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 f #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 f #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64))
(log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 (cbrt.f64 (*.f64 f (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 f (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 f (PI.f64))) (sqrt.f64 (*.f64 f (PI.f64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 f (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 f (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3/2 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal -4 binary64)) (PI.f64))
(pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)))
(*.f64 (*.f64 f (PI.f64)) (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))
(*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) (*.f64 f (PI.f64)))
(*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 f (PI.f64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 f (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 f) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))
(+.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
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(pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 3 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 2 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
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(log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
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(log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
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(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
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(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 3 binary64))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))))
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(*.f64 (*.f64 f (PI.f64)) (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))
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(*.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))
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(*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) (*.f64 f (PI.f64)))
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(*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 f (PI.f64)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 f (PI.f64)))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
(log.f64 (exp.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64))))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)))))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 3 binary64))))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 f (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 f (PI.f64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64))

eval613.0ms (3%)

Compiler

Compiled 16547 to 12362 computations (25.3% saved)

prune429.0ms (2.1%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New57322595
Fresh123
Picked325
Done011
Total57727604
Accuracy
99.6%
Counts
604 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))) (PI.f64))
97.7%
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
96.4%
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
97.6%
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
97.6%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.0%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
99.0%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64)))
96.6%
(*.f64 #s(literal -4 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64)))
96.6%
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (PI.f64)))
95.7%
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 3 binary64)) (PI.f64)))
97.1%
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
97.1%
(*.f64 #s(literal -4 binary64) (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))) (PI.f64)))
97.1%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
95.7%
(*.f64 #s(literal -4 binary64) (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64)))
95.8%
(*.f64 #s(literal -4 binary64) (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64)))
97.0%
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
96.9%
(*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64))))
96.9%
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 #s(literal 1 binary64) (PI.f64)))))
99.1%
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
95.8%
(*.f64 #s(literal -4 binary64) (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
95.8%
(*.f64 #s(literal -4 binary64) (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
96.5%
(*.f64 #s(literal -4 binary64) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))))
Compiler

Compiled 935 to 764 computations (18.3% saved)

localize683.0ms (3.4%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
99.4%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
99.2%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64)))
98.9%
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))
99.6%
(*.f64 (PI.f64) f)
99.6%
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))
99.6%
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))
99.4%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
99.6%
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64))
99.5%
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
99.4%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
99.6%
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
99.4%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
99.6%
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
99.6%
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
99.6%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
92.2%
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))
Results
499.0ms252×0valid
28.0ms2valid
Compiler

Compiled 383 to 261 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 444.0ms
ival-div: 201.0ms (45.2% of total)
ival-mult: 75.0ms (16.9% of total)
ival-log: 55.0ms (12.4% of total)
ival-pow: 48.0ms (10.8% of total)
ival-expm1: 30.0ms (6.8% of total)
ival-add: 15.0ms (3.4% of total)
const: 11.0ms (2.5% of total)
ival-cbrt: 5.0ms (1.1% of total)
backward-pass: 3.0ms (0.7% of total)
ival-pi: 2.0ms (0.5% of total)

series67.0ms (0.3%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))>
#<alt (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)>
#<alt (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))>
#<alt (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)>
#<alt (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))>
#<alt (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64))>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))>
#<alt (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)>
#<alt (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))>
Outputs
#<alt (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64)))>
#<alt (+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))>
#<alt (+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))))))>
#<alt (+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))) (*.f64 f (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))))) (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (+.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 6 binary64) (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/960 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))))))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal 1/960 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))))) (PI.f64)))))))))))>
#<alt (exp.f64 (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (exp.f64 (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (exp.f64 (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (exp.f64 (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (exp.f64 (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (exp.f64 (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (exp.f64 (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (exp.f64 (/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64))))) (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
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#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
Calls

36 calls:

TimeVariablePointExpression
20.0ms
f
@-inf
(/ (log (/ (/ 4 (PI)) f)) (PI))
9.0ms
f
@inf
(/ (log (/ (/ 4 (PI)) f)) (PI))
7.0ms
f
@0
(/ (log (/ (/ 4 (PI)) f)) (PI))
2.0ms
f
@0
(pow (+ (/ 1 (- (exp (* f (* (PI) 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))) (/ 1 (PI)))
2.0ms
f
@inf
(pow (+ (/ 1 (- (exp (* f (* (PI) 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))) (/ 1 (PI)))

rewrite135.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
286×log1p-expm1-u
283×expm1-log1p-u
279×add-exp-log
279×add-cube-cbrt
277×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044408
1743408
Stop Event
node limit
Counts
12 → 374
Calls
Call 1
Inputs
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (hypot.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(exp.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (PI.f64)))
(exp.f64 (*.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (PI.f64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 f (PI.f64))))
(*.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) f))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 f)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 f)) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 f)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64)) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 2 binary64))
(pow.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))))
(*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 1 binary64))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 2 binary64))
(pow.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (sqrt.f64 (PI.f64))))
(*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
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(*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (cbrt.f64 (PI.f64))))
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(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (cbrt.f64 (PI.f64))))
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(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))

simplify263.0ms (1.3%)

Algorithm
egg-herbie
Rules
344×associate-*r*
296×associate-*l*
268×*-commutative
247×exp-prod
245×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06274294988344
115104294987479
255914294987455
Stop Event
node limit
Counts
518 → 322
Calls
Call 1
Inputs
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64)))
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(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
Outputs
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 f #s(literal 2 binary64))) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))))))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/24 binary64))))))) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))))))))
(fma.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 f (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -1/24 binary64))))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/12 binary64))))) (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))) (*.f64 f (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))))) (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))) (+.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 6 binary64) (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/960 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))))))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal 1/960 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))))) (PI.f64)))))))))))
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(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))) #s(literal 1 binary64))
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(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
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(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (cbrt.f64 (PI.f64))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
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(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
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(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (/.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 3 binary64))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (neg.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (PI.f64)))
(*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (neg.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 1 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))

eval210.0ms (1%)

Compiler

Compiled 15030 to 11361 computations (24.4% saved)

prune141.0ms (0.7%)

Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New6177624
Fresh11819
Picked235
Done033
Total62031651
Accuracy
99.6%
Counts
651 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))) (PI.f64))
1.6%
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.9%
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))))) #s(literal -4 binary64))))
97.7%
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
97.6%
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
97.6%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.0%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
99.0%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.8%
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
96.6%
(*.f64 #s(literal -4 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64)))
96.6%
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (PI.f64)))
95.7%
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 3 binary64)) (PI.f64)))
97.1%
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
97.1%
(*.f64 #s(literal -4 binary64) (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))) (PI.f64)))
97.1%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
95.7%
(*.f64 #s(literal -4 binary64) (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64)))
95.8%
(*.f64 #s(literal -4 binary64) (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64)))
96.9%
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
97.0%
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
96.9%
(*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64))))
96.9%
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 #s(literal 1 binary64) (PI.f64)))))
97.6%
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))))
99.1%
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
95.8%
(*.f64 #s(literal -4 binary64) (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
95.8%
(*.f64 #s(literal -4 binary64) (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
96.5%
(*.f64 #s(literal -4 binary64) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))))
Compiler

Compiled 1125 to 918 computations (18.4% saved)

localize870.0ms (4.3%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64))
99.4%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
98.5%
(PI.f64)
98.4%
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
99.4%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
99.4%
(*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))
98.5%
(PI.f64)
98.5%
(*.f64 (PI.f64) #s(literal 1/12 binary64))
98.8%
(*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))
98.5%
(PI.f64)
98.5%
(*.f64 #s(literal 1/12 binary64) (PI.f64))
97.6%
(+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))
99.4%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
99.4%
(*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))
98.5%
(PI.f64)
99.5%
(*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
99.4%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
98.5%
(PI.f64)
98.5%
(*.f64 (PI.f64) #s(literal 1/12 binary64))
Results
647.0ms252×0valid
8.0ms0invalid
Compiler

Compiled 508 to 366 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 560.0ms
ival-div: 238.0ms (42.5% of total)
ival-mult: 156.0ms (27.9% of total)
ival-log: 79.0ms (14.1% of total)
ival-add: 35.0ms (6.3% of total)
ival-pow: 17.0ms (3% of total)
const: 15.0ms (2.7% of total)
ival-sub: 11.0ms (2% of total)
ival-exp: 7.0ms (1.3% of total)
ival-pi: 1.0ms (0.2% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0%)

Counts
12 → 48
Calls
Call 1
Inputs
#<alt (PI.f64)>
#<alt (PI.f64)>
#<alt (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (PI.f64))>
#<alt (PI.f64)>
#<alt (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))>
#<alt (PI.f64)>
#<alt (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))>
#<alt (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))>
#<alt (PI.f64)>
#<alt (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64))>
Outputs
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
f
@0
(* f (+ (* -1/8 (PI)) (* 1/12 (PI))))
0.0ms
f
@inf
(* f (+ (* -1/8 (PI)) (* 1/12 (PI))))
0.0ms
f
@-inf
(* f (+ (* -1/8 (PI)) (* 1/12 (PI))))
0.0ms
f
@0
(* (log (/ (/ 4 (PI)) f)) (/ 1 (PI)))
0.0ms
f
@0
(/ (exp (log (log (/ (/ 4 (PI)) f)))) (PI))

rewrite194.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
932×log1p-expm1-u
932×expm1-log1p-u
387×fma-define
214×fma-neg
134×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023163
1319163
24210163
Stop Event
node limit
Counts
12 → 393
Calls
Call 1
Inputs
(PI.f64)
(PI.f64)
(*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64)))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
(PI.f64)
(*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))
(PI.f64)
(*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(PI.f64)
(/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(/.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (log.f64 f) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (fma.f64 (log.f64 f) (log.f64 f) (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(log1p.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) f)))
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 f)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 (/.f64 #s(literal 1 binary64) f)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 (/.f64 #s(literal 1 binary64) f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (neg.f64 (log.f64 f)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(/.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) #s(literal 1 binary64)))

simplify188.0ms (0.9%)

Algorithm
egg-herbie
Rules
465×cube-prod
443×associate-*l*
442×times-frac
414×associate-*r*
313×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054012133
111189105
250539099
Stop Event
node limit
Counts
441 → 285
Calls
Call 1
Inputs
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(PI.f64)
(*.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(PI.f64)
(/.f64 (PI.f64) #s(literal 1 binary64))
(PI.f64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(PI.f64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 1 binary64))
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(PI.f64)
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(PI.f64)
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(PI.f64)
(*.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(PI.f64)
(/.f64 (PI.f64) #s(literal 1 binary64))
(PI.f64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(PI.f64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 1 binary64))
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(PI.f64)
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(PI.f64)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 1 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal 1 binary64)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal -1 binary64)) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) #s(literal 3 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) #s(literal 2 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal -1 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (PI.f64)))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal 2 binary64)))
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(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))) #s(literal 1 binary64)))
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eval494.0ms (2.4%)

Compiler

Compiled 36946 to 27278 computations (26.2% saved)

prune229.0ms (1.1%)

Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New151131514
Fresh31720
Picked235
Done066
Total1516291545
Accuracy
99.6%
Counts
1545 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))) (PI.f64))
1.6%
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.9%
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))))) #s(literal -4 binary64))))
97.7%
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
97.5%
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) f) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
97.6%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.9%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
99.0%
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.6%
(*.f64 #s(literal -4 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64)))
96.6%
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (PI.f64)))
95.7%
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 3 binary64)) (PI.f64)))
97.1%
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
97.0%
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
97.1%
(*.f64 #s(literal -4 binary64) (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))) (PI.f64)))
97.1%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
95.7%
(*.f64 #s(literal -4 binary64) (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64)))
95.8%
(*.f64 #s(literal -4 binary64) (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64)))
96.9%
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
97.0%
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
96.9%
(*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64))))
96.9%
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 #s(literal 1 binary64) (PI.f64)))))
97.6%
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))))
99.1%
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
95.8%
(*.f64 #s(literal -4 binary64) (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
95.8%
(*.f64 #s(literal -4 binary64) (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
96.5%
(*.f64 #s(literal -4 binary64) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))))
Compiler

Compiled 1392 to 1077 computations (22.6% saved)

regimes79.0ms (0.4%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
(*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) f) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))) (PI.f64))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))))) #s(literal -4 binary64))))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
(*.f64 #s(literal -4 binary64) (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64)))
(*.f64 #s(literal -4 binary64) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))))
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 3 binary64)) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (PI.f64)))
(*.f64 #s(literal -4 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) f)))) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
Calls

6 calls:

23.0ms
f
12.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
11.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
10.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
9.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
99.2%1f
99.2%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
99.2%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
99.2%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
99.2%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
99.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes13.0ms (0.1%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
(*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) f) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))) (PI.f64))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))))) #s(literal -4 binary64))))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) f) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
(*.f64 #s(literal -4 binary64) (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64)))
(*.f64 #s(literal -4 binary64) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 3 binary64))))
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 3 binary64)) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (PI.f64)))
(*.f64 #s(literal -4 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
Outputs
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
Calls

1 calls:

9.0ms
f
Results
AccuracySegmentsBranch
97.7%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Accuracy

Total -42.4b remaining (-2271.9%)

Threshold costs -42.4b (-2271.9%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
(*.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) f) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (PI.f64))))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 #s(literal -4 binary64) (log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -1 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))) (PI.f64))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
97.1%1f
Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Rules
13×*-commutative
+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036180
155180
265180
377180
485180
590180
692180
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))

soundness1.1s (5.5%)

Rules
1850×fma-define
839×fma-neg
667×distribute-lft-in
666×distribute-rgt-in
513×associate-+l+
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
02975642
17535290
225635058
079417676
1185017144
2630917106
061506
11072506
033584
192484
2250484
3630484
41254484
51914484
62508484
72719484
83048484
93270484
103714364
114435316
124891316
135709316
146279316
156349316
166493316
176645316
186661316
196949316
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 462 to 346 computations (25.1% saved)

preprocess41.0ms (0.2%)

Compiler

Compiled 178 to 138 computations (22.5% saved)

end0.0ms (0%)

Profiling

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