Falkner and Boettcher, Equation (20:1,3)

Time bar (total: 17.7s)

analyze65.0ms (0.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%50%0.1%0%50%0%4
0%0%50%0.1%0%50%0%5
37.5%18.7%31.2%0.1%0%50%0%6
43.8%21.9%28.1%0.1%0%50%0%7
65.6%32.8%17.2%0.1%0%50%0%8
70.3%35.1%14.8%0.1%0%50%0%9
82%41%9%0.1%0%50%0%10
84.8%42.3%7.6%0.1%0%50%0%11
90.8%45.4%4.6%0.1%0%50%0%12
Compiler

Compiled 31 to 22 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
Operation ival-mult, time spent: 28.0ms, 62.0% of total-time
Operation ival-sub, time spent: 6.0ms, 13.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 11.0% of total-time
Operation ival-div, time spent: 2.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time
Operation ival-pi, time spent: 2.0ms, 4.0% of total-time

sample2.8s (16%)

Results
2.2s8255×0valid
3.0ms0invalid
0.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
Operation ival-mult, time spent: 592.0ms, 42.0% of total-time
Operation ival-sub, time spent: 461.0ms, 33.0% of total-time
Operation ival-sqrt, time spent: 207.0ms, 15.0% of total-time
Operation ival-div, time spent: 61.0ms, 4.0% of total-time
Operation const, time spent: 46.0ms, 3.0% of total-time
Operation ival-pi, time spent: 43.0ms, 3.0% of total-time
Bogosity

preprocess2.3s (12.9%)

Algorithm
egg-herbie
Rules
1748×times-frac
1560×distribute-lft-neg-in
1510×distribute-rgt-neg-in
1410×fma-def
1028×div-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-256(1.8553992402559128e-31 7.069394789303177e-288)(PI.f64)
00-0-(-.f64 1 (*.f64 3 (*.f64 v v)))
00-0-(sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))
00-0-(*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))
00-0-(-.f64 1 (*.f64 v v))
00-0-(*.f64 v v)
00-0-(*.f64 5 (*.f64 v v))
00-0-(*.f64 (PI.f64) t)
00-0-(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
00-0-(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
00-0-(-.f64 1 (*.f64 5 (*.f64 v v)))
00-0-v
00-0-(*.f64 3 (*.f64 v v))
00-0-5
00-0-t
00-0-3
00-0-2
00-0-1
00-0-(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056750
1188750
2614680
34237644
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 (neg.f64 v) (neg.f64 v)))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 (neg.f64 v) (neg.f64 v))))))) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 t)) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(neg.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 (neg.f64 v) (neg.f64 v)))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 (neg.f64 v) (neg.f64 v))))))) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v))))))
(neg.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 t)) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 t t))) (*.f64 (*.f64 (*.f64 (PI.f64) v) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 t t)))))) (-.f64 1 (*.f64 t t))))
Outputs
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 (*.f64 3 v) v)))) (-.f64 1 (*.f64 v v)))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 (*.f64 3 v) v)))) (-.f64 1 (*.f64 v v)))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 (neg.f64 v) (neg.f64 v)))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 (neg.f64 v) (neg.f64 v))))))) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v)))))
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 (*.f64 3 v) v)))) (-.f64 1 (*.f64 v v)))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 t)) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 (*.f64 3 v) v)))) (*.f64 (PI.f64) (neg.f64 t)))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (neg.f64 t)) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (neg.f64 t)))))
(/.f64 (/.f64 (fma.f64 5 (*.f64 v v) -1) (fma.f64 v (neg.f64 v) 1)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(neg.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 (neg.f64 v) (neg.f64 v)))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 (neg.f64 v) (neg.f64 v))))))) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v))))))
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 (*.f64 3 v) v)))) (*.f64 (PI.f64) (neg.f64 t)))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (neg.f64 t)) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (neg.f64 t)))))
(/.f64 (/.f64 (fma.f64 5 (*.f64 v v) -1) (fma.f64 v (neg.f64 v) 1)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(neg.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 t)) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v)))))
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 (*.f64 3 v) v)))) (-.f64 1 (*.f64 v v)))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 t t))) (*.f64 (*.f64 (*.f64 (PI.f64) v) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 t t)))))) (-.f64 1 (*.f64 t t))))
(/.f64 (-.f64 1 (*.f64 (*.f64 5 t) t)) (*.f64 (*.f64 v (PI.f64)) (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 -3 (*.f64 t t))))) (-.f64 1 (*.f64 t t)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 t t))) (*.f64 (*.f64 v (PI.f64)) (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 (*.f64 t t) -3)))) (-.f64 1 (*.f64 t t)))))
(/.f64 (/.f64 (fma.f64 (*.f64 t t) -5 1) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 t t) -6)))) (*.f64 (*.f64 (fma.f64 t (neg.f64 t) 1) v) (PI.f64)))
(/.f64 (/.f64 (fma.f64 t (*.f64 t -5) 1) (sqrt.f64 (fma.f64 (*.f64 t t) -6 2))) (*.f64 (*.f64 (fma.f64 t (neg.f64 t) 1) v) (PI.f64)))
Symmetry

(abs v)

(negabs t)

Compiler

Compiled 282 to 165 computations (41.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.7s
Operation ival-sub, time spent: 683.0ms, 40.0% of total-time
Operation ival-mult, time spent: 663.0ms, 39.0% of total-time
Operation ival-sqrt, time spent: 234.0ms, 14.0% of total-time
Operation const, time spent: 74.0ms, 4.0% of total-time
Operation ival-div, time spent: 25.0ms, 1.0% of total-time
Operation ival-pi, time spent: 20.0ms, 1.0% of total-time

eval2.0ms (0%)

Compiler

Compiled 107 to 68 computations (36.4% saved)

prune5.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
99.1%
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
99.1%
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
Compiler

Compiled 87 to 62 computations (28.7% saved)

localize3.1s (17.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
Compiler

Compiled 370 to 211 computations (43% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.5s
Operation ival-mult, time spent: 842.0ms, 34.0% of total-time
Operation ival-sub, time spent: 735.0ms, 30.0% of total-time
Operation ival-sqrt, time spent: 361.0ms, 15.0% of total-time
Operation ival-add, time spent: 238.0ms, 10.0% of total-time
Operation ival-fma, time spent: 151.0ms, 6.0% of total-time
Operation const, time spent: 105.0ms, 4.0% of total-time
Operation ival-div, time spent: 39.0ms, 2.0% of total-time
Operation ival-pi, time spent: 9.0ms, 0.0% of total-time
Operation ival-neg, time spent: 8.0ms, 0.0% of total-time

series0.0ms (0%)

Counts
3 → 0

rewrite209.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1294×prod-diff
922×log-prod
737×log1p-expm1-u
737×expm1-log1p-u
564×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039
1249
22349
323809
Stop Event
node limit
Counts
3 → 189
Calls
Call 1
Inputs
(PI.f64)
(PI.f64)
(PI.f64)
Outputs
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
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(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
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(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
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(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
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(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
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(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
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(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
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(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
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(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
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(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
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(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
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(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
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(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)

simplify96.0ms (0.5%)

Algorithm
egg-herbie
Rules
1654×log-prod
1012×associate-+l+
978×associate-+r+
514×unswap-sqr
446×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01602403
13592283
214152235
369032235
Stop Event
node limit
Counts
189 → 85
Calls
Call 1
Inputs
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
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(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
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(sqrt.f64 (pow.f64 (PI.f64) 2))
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(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
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(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
Outputs
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (*.f64 (expm1.f64 (PI.f64)) (+.f64 -1 (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(*.f64 2 (*.f64 1/2 (PI.f64)))
(PI.f64)
(*.f64 1/3 (*.f64 3 (PI.f64)))
(PI.f64)
(*.f64 3 (*.f64 1/3 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(PI.f64)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(PI.f64)
(*.f64 (log.f64 (E.f64)) (PI.f64))
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
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(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(PI.f64)
(*.f64 (log.f64 (E.f64)) (PI.f64))
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (PI.f64) 2))
(/.f64 (*.f64 (+.f64 (PI.f64) 2) (PI.f64)) (+.f64 (PI.f64) 2))
(/.f64 (+.f64 (PI.f64) 2) (/.f64 (+.f64 (PI.f64) 2) (PI.f64)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(PI.f64)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)

eval143.0ms (0.8%)

Compiler

Compiled 8855 to 5518 computations (37.7% saved)

prune44.0ms (0.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2505255
Fresh000
Picked033
Done000
Total2508258
Accuracy
99.5%
Counts
258 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
97.6%
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
98.2%
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
99.1%
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
98.6%
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
98.2%
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
99.1%
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
99.1%
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
Compiler

Compiled 405 to 292 computations (27.9% saved)

localize6.1s (34.7%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
Compiler

Compiled 685 to 387 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0s
Operation ival-mult, time spent: 1.4s, 27.0% of total-time
Operation ival-sqrt, time spent: 675.0ms, 13.0% of total-time
Operation ival-sub, time spent: 652.0ms, 13.0% of total-time
Operation ival-add, time spent: 533.0ms, 11.0% of total-time
Operation ival-fma, time spent: 507.0ms, 10.0% of total-time
Operation ival-pow, time spent: 436.0ms, 9.0% of total-time
Operation ival-div, time spent: 401.0ms, 8.0% of total-time
Operation ival-cbrt, time spent: 255.0ms, 5.0% of total-time
Operation const, time spent: 194.0ms, 4.0% of total-time
Operation ival-pi, time spent: 9.0ms, 0.0% of total-time
Operation ival-neg, time spent: 8.0ms, 0.0% of total-time

eval2.4s (13.5%)

Compiler

Compiled 96182 to 59875 computations (37.7% saved)

prune192.0ms (1.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New255002550
Fresh000
Picked055
Done033
Total255082558
Accuracy
99.5%
Counts
2558 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
97.6%
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
98.2%
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
99.1%
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
98.6%
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
98.2%
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
99.1%
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
99.1%
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
Compiler

Compiled 478 to 321 computations (32.8% saved)

regimes38.0ms (0.2%)

Accuracy

Total -1.1b remaining (-204.5%)

Threshold costs -1.1b (-204.5%)

Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (fma.f64 v (neg.f64 v) 1)))))
Outputs
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
Calls

5 calls:

12.0ms
(*.f64 (PI.f64) t)
9.0ms
v
8.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
5.0ms
t
3.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.1%1v
99.1%1t
99.1%1(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
99.1%1(*.f64 v v)
99.1%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 32 computations (30.4% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
24×*-commutative
16×+-commutative
14×sub-neg
10×distribute-lft-neg-in
10×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026106
148106
263106
376106
483106
586106
687106
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
Outputs
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 v (*.f64 v 3))))) (-.f64 1 (*.f64 v v)))))
Compiler

Compiled 30 to 22 computations (26.7% saved)

soundness91.0ms (0.5%)

Rules
1748×times-frac
1560×distribute-lft-neg-in
1510×distribute-rgt-neg-in
1410×fma-def
1028×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056750
1188750
2614680
34237644
Stop Event
node limit

end0.0ms (0%)

preprocess57.0ms (0.3%)

Remove

(negabs t)

(abs v)

Compiler

Compiled 360 to 262 computations (27.2% saved)

Profiling

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