Rosa's Benchmark

Time bar (total: 9.5s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (13.5%)

Results
762.0ms5536×0valid
319.0ms2719×0infinite
0.0ms0valid
1.0ms6exit
Precisions
Click to see histograms. Total time spent on operations: 525.0ms
Operation ival-mult, time spent: 373.0ms, 71.0% of total-time
Operation ival-sub, time spent: 120.0ms, 23.0% of total-time
Operation const, time spent: 32.0ms, 6.0% of total-time
Bogosity

preprocess261.0ms (2.7%)

Algorithm
egg-herbie
Rules
1636×fma-define
1434×distribute-lft-neg-in
1416×unswap-sqr
1378×fma-neg
1082×distribute-rgt-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
00-0-x
00-0-6450306886639899/50000000000000000
00-0-(*.f64 x x)
00-0-(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
00-0-(*.f64 (*.f64 x x) x)
00-0-(*.f64 238732414637843/250000000000000 x)
00-0-238732414637843/250000000000000
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020180
157112
2183108
3535108
4878108
51384108
61849108
72162108
82641108
93612108
105601108
117583108
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(neg.f64 (-.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x)))))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(+.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 -6450306886639899/50000000000000000 (neg.f64 (*.f64 x (*.f64 x x)))))
(-.f64 (*.f64 x -238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x -238732414637843/250000000000000))
(fma.f64 x -238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(neg.f64 (-.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x)))))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
Symmetry

(negabs x)

Compiler

Compiled 80 to 38 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
Operation ival-mult, time spent: 26.0ms, 73.0% of total-time
Operation ival-sub, time spent: 6.0ms, 17.0% of total-time
Operation const, time spent: 4.0ms, 11.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 20 to 14 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize101.0ms (1.1%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
99.9%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
100.0%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.9%
(*.f64 (*.f64 x x) x)
99.9%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
99.8%
(*.f64 238732414637843/250000000000000 x)
Compiler

Compiled 54 to 30 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
Operation ival-mult, time spent: 24.0ms, 48.0% of total-time
Operation ival-pow, time spent: 9.0ms, 18.0% of total-time
Operation composed, time spent: 7.0ms, 14.0% of total-time
Operation const, time spent: 4.0ms, 8.0% of total-time
Operation ival-sub, time spent: 3.0ms, 6.0% of total-time
Operation ival-add, time spent: 3.0ms, 6.0% of total-time

series16.0ms (0.2%)

Counts
6 → 60
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(*.f64 238732414637843/250000000000000 x)
1.0ms
x
@-inf
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
1.0ms
x
@0
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
1.0ms
x
@inf
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
1.0ms
x
@inf
(*.f64 238732414637843/250000000000000 x)

rewrite261.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
778×log-prod
772×fma-define
666×log1p-expm1-u
666×expm1-log1p-u
506×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018106
1210106
22381106
Stop Event
node limit
Counts
6 → 353
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
Outputs
(+.f64 0 (*.f64 238732414637843/250000000000000 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x))) 1)
(pow.f64 (*.f64 238732414637843/250000000000000 x) 1)
(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x)))
(log1p.f64 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))
(exp.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 238732414637843/250000000000000 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)) 3) 1/3))
(+.f64 0 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(-.f64 0 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(neg.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(cbrt.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) 2))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)) 1) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)) 3) 1/3))
(+.f64 0 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 2) 3/2)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 9/2)
(pow.f64 (cbrt.f64 x) 9)
(pow.f64 (pow.f64 x 9) 1/3)
(pow.f64 (pow.f64 x 6) 1/2)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (sqrt.f64 x) 6)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 2) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 3/2) 2))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2))))
(+.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2)))
(+.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (fma.f64 (neg.f64 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2)) 1))
(+.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))
(+.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 0 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))))
(*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 1)
(*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))
(*.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) 2) (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(*.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2) (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(*.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
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simplify226.0ms (2.4%)

Algorithm
egg-herbie
Rules
1096×unswap-sqr
924×fma-neg
862×cancel-sign-sub-inv
648×distribute-lft-neg-in
634×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049615620
1113813586
2349213314
Stop Event
node limit
Counts
413 → 338
Calls
Call 1
Inputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
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(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
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(-.f64 (/.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))) (/.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))))
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(*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (log.f64 (exp.f64 1)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) 2) (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(*.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2) (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(*.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
(/.f64 1 (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2)))
(/.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2)) (neg.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 x (*.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 3) (pow.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2)) 3)) (+.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2) (-.f64 (pow.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2)) 2) (*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2) (pow.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2)) 2)) (-.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2))))
(pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) 3)
(pow.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) -1)
(pow.f64 (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2)) -1)
(sqrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) (exp.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2)))))
(log.f64 (*.f64 (exp.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2))) (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))))
(log.f64 (*.f64 (exp.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2))) (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(hypot.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(exp.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) 1) 1))
Outputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
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(pow.f64 (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2)) -1)
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(sqrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 2))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000)))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) (exp.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2)))))
(fma.f64 x 238732414637843/250000000000000 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 2 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 3 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(log.f64 (*.f64 (exp.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2))) (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))))
(fma.f64 x 238732414637843/250000000000000 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 2 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 3 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(log.f64 (*.f64 (exp.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) 2))) (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))))
(fma.f64 x 238732414637843/250000000000000 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 2 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 3 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (/.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000)))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)) 3))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(expm1.f64 (log1p.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(hypot.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(hypot.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(hypot.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) 1))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) 3))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) 1/3))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x)))) 2))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))) 1) 1))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))

eval185.0ms (1.9%)

Compiler

Compiled 6630 to 5308 computations (19.9% saved)

prune151.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3299338
Fresh000
Picked112
Done000
Total33010340
Accuracy
100.0%
Counts
340 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
99.8%
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
49.1%
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
99.4%
(-.f64 (pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
89.2%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (cbrt.f64 (pow.f64 x 9))))
52.6%
(-.f64 (sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
51.8%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
49.5%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 200 to 150 computations (25% saved)

localize255.0ms (2.7%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
99.8%
(*.f64 238732414637843/250000000000000 x)
99.8%
(sqrt.f64 (*.f64 238732414637843/250000000000000 x))
99.1%
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
99.9%
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 238732414637843/250000000000000 x)
100.0%
(-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
99.9%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
99.5%
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
99.8%
(*.f64 x 238732414637843/250000000000000)
99.9%
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
99.8%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 122 to 81 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
Operation ival-mult, time spent: 47.0ms, 42.0% of total-time
Operation ival-pow, time spent: 20.0ms, 18.0% of total-time
Operation composed, time spent: 12.0ms, 11.0% of total-time
Operation const, time spent: 11.0ms, 10.0% of total-time
Operation ival-sqrt, time spent: 10.0ms, 9.0% of total-time
Operation ival-sub, time spent: 8.0ms, 7.0% of total-time
Operation ival-add, time spent: 6.0ms, 5.0% of total-time

series22.0ms (0.2%)

Counts
10 → 84
Calls

30 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 x 238732414637843/250000000000000)
2.0ms
x
@inf
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
1.0ms
x
@0
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
1.0ms
x
@0
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))

rewrite155.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
924×log1p-expm1-u
924×expm1-log1p-u
864×prod-diff
330×fma-define
328×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024173
1304173
23212169
Stop Event
node limit
Counts
10 → 288
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 x -6450306886639899/50000000000000000)
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
(sqrt.f64 (*.f64 238732414637843/250000000000000 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) 1/2)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1) (*.f64 x 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))) 1)
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) x)
(*.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 1)
(*.f64 1 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2) (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(*.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (*.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) x))
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(exp.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 1))

simplify177.0ms (1.9%)

Algorithm
egg-herbie
Rules
818×cancel-sign-sub-inv
814×log-prod
764×distribute-rgt-neg-in
752×distribute-lft-neg-in
692×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04019219
18988964
232918920
Stop Event
node limit
Counts
372 → 249
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(*.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (*.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (fma.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (-.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (pow.f64 x 2)))))
(/.f64 (*.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (pow.f64 x 2)))))
(/.f64 (*.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))
(pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 238732414637843/250000000000000) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(*.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/4) (*.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/4) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (pow.f64 (sqrt.f64 238732414637843/250000000000000) 2) x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/4)) (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/4))
(*.f64 (*.f64 (sqrt.f64 238732414637843/250000000000000) (sqrt.f64 238732414637843/250000000000000)) x)
(*.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 238732414637843/250000000000000)) (sqrt.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))) 1)
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 1)
(*.f64 1 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (sqrt.f64 238732414637843/250000000000000) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 238732414637843/250000000000000))
(*.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/4) (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))))
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 1))
Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
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(sqrt.f64 (*.f64 238732414637843/250000000000000 x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(sqrt.f64 (*.f64 238732414637843/250000000000000 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1/2))
(sqrt.f64 (*.f64 238732414637843/250000000000000 x))
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eval184.0ms (1.9%)

Compiler

Compiled 5940 to 4450 computations (25.1% saved)

prune177.0ms (1.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3927399
Fresh314
Picked415
Done011
Total39910409
Accuracy
100.0%
Counts
409 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
49.2%
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
99.5%
(-.f64 (*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
51.8%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
71.6%
(*.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
51.7%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
49.5%
(*.f64 x 238732414637843/250000000000000)
26.6%
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 178 to 131 computations (26.4% saved)

localize363.0ms (3.8%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
99.8%
(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
99.6%
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
64.4%
(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
99.8%
(*.f64 x 238732414637843/250000000000000)
99.8%
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
99.1%
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
100.0%
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.8%
(*.f64 x 238732414637843/250000000000000)
99.9%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.9%
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000)
99.9%
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
Compiler

Compiled 134 to 100 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 282.0ms
Operation ival-mult, time spent: 85.0ms, 30.0% of total-time
Operation composed, time spent: 63.0ms, 22.0% of total-time
Operation ival-sub, time spent: 62.0ms, 22.0% of total-time
Operation ival-pow, time spent: 30.0ms, 11.0% of total-time
Operation ival-add, time spent: 17.0ms, 6.0% of total-time
Operation const, time spent: 13.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 7.0ms, 2.0% of total-time
Operation ival-div, time spent: 4.0ms, 1.0% of total-time

series31.0ms (0.3%)

Counts
11 → 108
Calls

33 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
1.0ms
x
@inf
(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
1.0ms
x
@0
(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
1.0ms
x
@inf
(*.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
1.0ms
x
@0
(*.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))

rewrite258.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1516×prod-diff
825×log1p-expm1-u
362×associate-*r*
230×associate-*l*
174×cbrt-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032273
1421261
25233261
Stop Event
node limit
Counts
11 → 342
Calls
Call 1
Inputs
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000)
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
(*.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
Outputs
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (-.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2) (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))
(pow.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 1))
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 x 238732414637843/250000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 1)
(*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 1)
(*.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000))
(pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))
(fabs.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))) 1)
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 1)
(*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) x)
(*.f64 1 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2) (cbrt.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (*.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) x))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (-.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2) (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))
(pow.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
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simplify378.0ms (4%)

Algorithm
egg-herbie
Rules
1470×log-prod
856×associate-*r*
816×associate-*l*
618×times-frac
368×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071924284
1176518322
2717818322
Stop Event
node limit
Counts
450 → 355
Calls
Call 1
Inputs
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(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 2))
(log.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))) 1))
Outputs
(*.f64 238732414637843/250000000000000 x)
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(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
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(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
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(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
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238732414637843/250000000000000
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(/.f64 (/.f64 (*.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))) (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(pow.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 1)
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))) 3)
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 3) 1/3)
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))) 2)
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))) 2))
(fabs.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(log.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))))))
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 3))
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))) 1))
(*.f64 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))

eval324.0ms (3.4%)

Compiler

Compiled 12705 to 10604 computations (16.5% saved)

prune496.0ms (5.2%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New4852487
Fresh123
Picked145
Done022
Total48710497
Accuracy
100.0%
Counts
497 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
49.2%
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
51.8%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
49.2%
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
99.8%
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
71.6%
(*.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)))
51.7%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
49.5%
(*.f64 x 238732414637843/250000000000000)
26.6%
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 90 to 67 computations (25.6% saved)

localize628.0ms (6.6%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 238732414637843/250000000000000 (sqrt.f64 x))
99.4%
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
99.9%
(*.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)))
99.8%
(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
99.5%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
64.4%
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000))
99.9%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
99.5%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
99.7%
(*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)
54.5%
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 121 to 92 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 310.0ms
Operation ival-mult, time spent: 135.0ms, 44.0% of total-time
Operation ival-sub, time spent: 115.0ms, 37.0% of total-time
Operation ival-pow, time spent: 37.0ms, 12.0% of total-time
Operation const, time spent: 12.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 7.0ms, 2.0% of total-time
Operation ival-div, time spent: 4.0ms, 1.0% of total-time

series51.0ms (0.5%)

Counts
9 → 72
Calls

27 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
2.0ms
x
@inf
(*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000))
1.0ms
x
@0
(*.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000))

rewrite317.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
981×log1p-expm1-u
674×expm1-log1p-u
580×prod-diff
318×associate-*r*
238×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026218
1364143
24799143
Stop Event
node limit
Counts
9 → 339
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)))
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 238732414637843/250000000000000 (sqrt.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2))
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 x))
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))
(*.f64 (cbrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/2) (*.f64 x 238732414637843/250000000000000))
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simplify535.0ms (5.6%)

Algorithm
egg-herbie
Rules
836×log-prod
492×fma-neg
492×sqr-pow
482×associate-*l*
466×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070929774
1169025333
2488319173
Stop Event
node limit
Counts
411 → 428
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
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238732414637843/250000000000000
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(pow.f64 (/.f64 1 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) -1)
(neg.f64 (/.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000) (neg.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000) 3) (pow.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000) 3)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1))
(fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(fma.f64 1 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (cbrt.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000))) 1)
(pow.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))
(fabs.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 1)
(/.f64 x (/.f64 1 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000) (*.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000))) (neg.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000))) (neg.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) x) (neg.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(/.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) 1) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000))
(/.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(/.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000))) (sqrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(pow.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) 1/2)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(fabs.f64 (*.f64 x 238732414637843/250000000000000))
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 2)
(sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 1))
Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)
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(fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
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(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
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(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 238732414637843/250000000000000 x)
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(*.f64 (/.f64 1 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) (*.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)))
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(/.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000))) (sqrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(*.f64 (/.f64 1 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) (*.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)))
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(pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
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(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
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(expm1.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(expm1.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x)))
(pow.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) 1/2)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(*.f64 238732414637843/250000000000000 x)
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(fabs.f64 (*.f64 x 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 238732414637843/250000000000000 x)
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(*.f64 238732414637843/250000000000000 x)
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3)))
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(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
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(*.f64 238732414637843/250000000000000 x)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))) 1)
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(pow.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 1)
(sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
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(sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
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(sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 2)
(sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (log.f64 (exp.f64 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3))
(sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 1))
(sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))

eval704.0ms (7.4%)

Compiler

Compiled 18585 to 15924 computations (14.3% saved)

prune107.0ms (1.1%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New4572459
Fresh000
Picked044
Done066
Total45712469
Accuracy
100.0%
Counts
469 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
49.2%
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
51.8%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
49.2%
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
49.3%
(*.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 x))
99.8%
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
71.6%
(*.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)))
51.7%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
49.5%
(*.f64 x 238732414637843/250000000000000)
5.2%
(*.f64 x -238732414637843/250000000000000)
26.6%
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 309 to 216 computations (30.1% saved)

regimes22.0ms (0.2%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(*.f64 x 238732414637843/250000000000000)
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(*.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 x))
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (cbrt.f64 (pow.f64 x 9))))
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
(-.f64 (sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)))
(*.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
Outputs
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
Calls

2 calls:

12.0ms
x
8.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes18.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(*.f64 x 238732414637843/250000000000000)
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(*.f64 (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 x))
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Calls

2 calls:

12.0ms
x
5.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes9.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(*.f64 x 238732414637843/250000000000000)
Outputs
(*.f64 x 238732414637843/250000000000000)
(*.f64 x -238732414637843/250000000000000)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
52.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
Outputs
(*.f64 x -238732414637843/250000000000000)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
5.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.026688727854711655
6.642264007013546
Results
14.0ms111×0valid
0.0ms0valid
Compiler

Compiled 86 to 67 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-mult, time spent: 3.0ms, 58.0% of total-time
Operation ival-sub, time spent: 1.0ms, 19.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×*-commutative
12×sub-neg
12×+-commutative
10×distribute-lft-neg-in
10×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027112
138112
250112
362112
472112
577112
679112
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(if (<=.f64 x 3152519739159347/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x -238732414637843/250000000000000))
(*.f64 x -238732414637843/250000000000000)
Outputs
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(if (<=.f64 x 3152519739159347/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x -238732414637843/250000000000000))
(if (<=.f64 x 3152519739159347/1125899906842624) (*.f64 238732414637843/250000000000000 x) (*.f64 x -238732414637843/250000000000000))
(*.f64 x -238732414637843/250000000000000)
Compiler

Compiled 36 to 26 computations (27.8% saved)

soundness1.7s (18.1%)

Rules
1636×fma-define
1434×distribute-lft-neg-in
1416×unswap-sqr
1378×fma-neg
1096×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020180
157112
2183108
3535108
4878108
51384108
61849108
72162108
82641108
93612108
105601108
117583108
049615620
1113813586
2349213314
024173
1304173
23212169
04019219
18988964
232918920
070929774
1169025333
2488319173
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 179 to 129 computations (27.9% saved)

end0.0ms (0%)

preprocess69.0ms (0.7%)

Remove

(negabs x)

Compiler

Compiled 162 to 118 computations (27.2% saved)

Profiling

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