Rosa's Benchmark

Time bar (total: 4.8s)

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)

sample850.0ms (17.6%)

Results
610.0ms5475×body256valid
229.0ms2781×body256infinite
Bogosity

preprocess164.0ms (3.4%)

Algorithm
egg-herbie
Rules
2602×fma-def
1426×distribute-lft-neg-in
1416×unswap-sqr
1046×distribute-rgt-neg-in
964×cancel-sign-sub-inv
Problems
256×No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019137
15485
216581
349081
483481
5134681
6182181
7213481
8261381
9358381
10557381
11754481
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))))
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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(-.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(-.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 6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x -238732414637843/250000000000000))
(fma.f64 x -238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
Compiler

Compiled 46 to 23 computations (50% saved)

eval2.0ms (0%)

Compiler

Compiled 28 to 20 computations (28.6% saved)

prune2.0ms (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)))
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 42 to 30 computations (28.6% saved)

localize63.0ms (1.3%)

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 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
99.9%
(*.f64 (*.f64 x x) x)
99.8%
(*.f64 238732414637843/250000000000000 x)
Compiler

Compiled 54 to 30 computations (44.4% saved)

series5.0ms (0.1%)

Counts
6 → 60
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (*.f64 x x) x)
0.0ms
x
@-inf
(*.f64 238732414637843/250000000000000 x)
0.0ms
x
@inf
(*.f64 238732414637843/250000000000000 x)
0.0ms
x
@0
(*.f64 (*.f64 x x) x)
0.0ms
x
@inf
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))

rewrite156.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
846×fma-def
778×log-prod
667×log1p-expm1-u
667×expm1-log1p-u
498×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018106
1210106
22368106
Stop Event
node limit
Counts
6 → 327
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x x) x)
(*.f64 6450306886639899/50000000000000000 (*.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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x)) (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x)))) (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)))
(exp.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)) 3) 1/3))
(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))
(log1p.f64 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))
(+.f64 0 (pow.f64 x 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (cbrt.f64 (exp.f64 (pow.f64 x 3))))) (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 (cbrt.f64 x) 9)
(pow.f64 (cbrt.f64 (pow.f64 x 2)) 9/2)
(pow.f64 (pow.f64 x 6) 1/2)
(pow.f64 (sqrt.f64 x) 6)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (pow.f64 x 9) 1/3)
(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)))
(exp.f64 (*.f64 3 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 3/2))
(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 3/2 (log.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 3/2) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(+.f64 0 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))
(-.f64 0 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 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 (pow.f64 x 3) 6450306886639899/50000000000000000))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(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 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) 3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)) 3) 1/3))
(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))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(+.f64 (*.f64 238732414637843/250000000000000 x) (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 0))
(+.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 0)
(+.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(+.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(+.f64 0 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(+.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))) (cbrt.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))
(*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
(*.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1)
(*.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(*.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(*.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 (fma.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(*.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 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
(/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(/.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 (fma.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(/.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 (pow.f64 x 3) 6450306886639899/50000000000000000))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3) 0) (+.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 0 (*.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 0))))
(/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) 0) (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1)
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(pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) -1)
(sqrt.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(log.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
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simplify179.0ms (3.7%)

Algorithm
egg-herbie
Rules
1050×distribute-rgt-in
1046×distribute-lft-in
972×unswap-sqr
636×cancel-sign-sub-inv
628×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045913440
199812432
2314612420
Stop Event
node limit
Counts
387 → 294
Calls
Call 1
Inputs
(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)
(pow.f64 x 3)
(pow.f64 x 3)
(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))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
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(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
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(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(pow.f64 x 3)
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(pow.f64 (cbrt.f64 (pow.f64 x 2)) 9/2)
(pow.f64 (pow.f64 x 6) 1/2)
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(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (pow.f64 x 9) 1/3)
(sqrt.f64 (pow.f64 x 6))
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(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
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(*.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 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
(/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(/.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 (fma.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(/.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 (pow.f64 x 3) 6450306886639899/50000000000000000))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3) 0) (+.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 0 (*.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 0))))
(/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) 0) (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 3)
(pow.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) 1/2)
(pow.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 2)
(pow.f64 (/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) -1)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) -1)
(sqrt.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(log.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))) 1))
(log.f64 (*.f64 1 (+.f64 1 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))))
(log.f64 (/.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 1))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))) 1))
(log.f64 (/.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(hypot.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(exp.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
Outputs
(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)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
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(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
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(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
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(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 0 (*.f64 238732414637843/250000000000000 x))
(*.f64 x 238732414637843/250000000000000)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x)) (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x)))) (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 x 238732414637843/250000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x))) 1)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (*.f64 238732414637843/250000000000000 x) 1)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
(*.f64 x 238732414637843/250000000000000)
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(*.f64 x 238732414637843/250000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 238732414637843/250000000000000 x))))
(*.f64 x 238732414637843/250000000000000)
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 x 238732414637843/250000000000000)
(expm1.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x)))
(*.f64 x 238732414637843/250000000000000)
(exp.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)))
(*.f64 x 238732414637843/250000000000000)
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(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))) 2))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))

eval132.0ms (2.7%)

Compiler

Compiled 4959 to 3891 computations (21.5% saved)

prune64.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New28212294
Fresh000
Picked112
Done000
Total28313296
Accuracy
100.0%
Counts
296 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.3%
(fma.f64 (pow.f64 x 2) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (*.f64 (/.f64 (pow.f64 x 6) (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) -41606458931834106848498498730201/2500000000000000000000000000000000))
99.8%
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
54.2%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
66.9%
(fma.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)) (fma.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
54.0%
(-.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 (pow.f64 x 3) 6450306886639899/50000000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
53.6%
(-.f64 (sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
33.9%
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
51.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
50.0%
(*.f64 x 238732414637843/250000000000000)
16.8%
(cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3))
35.3%
(fma.f64 (pow.f64 x 2) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (*.f64 (/.f64 (pow.f64 x 6) (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) -41606458931834106848498498730201/2500000000000000000000000000000000))
99.8%
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
54.2%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
66.9%
(fma.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)) (fma.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
54.0%
(-.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 (pow.f64 x 3) 6450306886639899/50000000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
53.6%
(-.f64 (sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
33.9%
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
51.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
50.0%
(*.f64 x 238732414637843/250000000000000)
16.8%
(cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3))
Compiler

Compiled 676 to 520 computations (23.1% saved)

localize170.0ms (3.5%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (*.f64 x x) x)
99.9%
(*.f64 238732414637843/250000000000000 x)
99.9%
(sqrt.f64 (*.f64 238732414637843/250000000000000 x))
99.6%
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
99.9%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
99.9%
(*.f64 (*.f64 x x) x)
99.9%
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
65.2%
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
100.0%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
99.9%
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
99.9%
(*.f64 238732414637843/250000000000000 x)
99.9%
(*.f64 x 238732414637843/250000000000000)
100.0%
(-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000))
99.9%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
99.9%
(*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)
Compiler

Compiled 152 to 94 computations (38.2% saved)

series15.0ms (0.3%)

Counts
10 → 96
Calls

30 calls:

TimeVariablePointExpression
3.0ms
x
@0
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
3.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
2.0ms
x
@-inf
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
1.0ms
x
@inf
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)

rewrite159.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1352×fma-def
774×log1p-expm1-u
774×expm1-log1p-u
438×fma-neg
420×expm1-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024176
1340172
23813164
Stop Event
node limit
Counts
10 → 475
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
(-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
(sqrt.f64 (*.f64 238732414637843/250000000000000 x))
Outputs
(-.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 (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))
(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)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 1)
(/.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 (pow.f64 x 2) 6450306886639899/50000000000000000 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 (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))))
(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))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 238732414637843/250000000000000 x (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 238732414637843/250000000000000 x (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 (*.f64 x 238732414637843/250000000000000) 1 (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 (*.f64 x 238732414637843/250000000000000) 1 (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 1 (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 1 (*.f64 x 238732414637843/250000000000000) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 (sqrt.f64 238732414637843/250000000000000) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 (sqrt.f64 238732414637843/250000000000000) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000) (*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000) (*.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 1)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
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simplify257.0ms (5.3%)

Algorithm
egg-herbie
Rules
1350×fma-neg
1132×times-frac
652×associate-*r*
636×associate-*l*
624×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070317250
1154216409
2491215948
Stop Event
node limit
Counts
571 → 489
Calls
Call 1
Inputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
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(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
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238732414637843/250000000000000
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(fma.f64 (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (neg.f64 (-.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 238732414637843/250000000000000)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 238732414637843/250000000000000)) (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 238732414637843/250000000000000)) (sqrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 238732414637843/250000000000000)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.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 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.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 (pow.f64 1 1/3) (*.f64 x 238732414637843/250000000000000))
(*.f64 (pow.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) 1/3) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.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))
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)
(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)
(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))))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 6)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3/2) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 3))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.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 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.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 (pow.f64 1 1/3) (*.f64 x 238732414637843/250000000000000))
(*.f64 (pow.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) 1/3) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.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 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(-.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 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 238732414637843/250000000000000) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 238732414637843/250000000000000))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.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 (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))) (sqrt.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))))
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/6)
(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))))
(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))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
Outputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))
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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(pow.f64 (*.f64 x 238732414637843/250000000000000) 1/2)
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/6)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/6)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 1)
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 3)
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3/2))
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 1/4) 2)
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(fabs.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))))
(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))))
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1/2))
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 1))
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(sqrt.f64 (*.f64 x 238732414637843/250000000000000))

eval403.0ms (8.4%)

Compiler

Compiled 13373 to 10471 computations (21.7% saved)

prune117.0ms (2.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New7525757
Fresh437
Picked235
Done011
Total75812770
Accuracy
100.0%
Counts
770 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
54.2%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
98.6%
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
35.3%
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
99.3%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.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)))
67.0%
(+.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
51.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
51.8%
(*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000))
50.0%
(*.f64 x 238732414637843/250000000000000)
99.8%
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
54.2%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
98.6%
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
35.3%
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
99.3%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.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)))
67.0%
(+.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
51.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
51.8%
(*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000))
50.0%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 488 to 378 computations (22.5% saved)

localize402.0ms (8.3%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
99.9%
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
99.8%
(*.f64 x 238732414637843/250000000000000)
38.2%
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
99.9%
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
99.9%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.3%
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
68.5%
(cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
99.9%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
99.9%
(*.f64 (*.f64 x x) x)
99.8%
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
98.4%
(cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
99.9%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.9%
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
99.9%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 238732414637843/250000000000000 x)
Compiler

Compiled 172 to 121 computations (29.7% saved)

series21.0ms (0.4%)

Counts
12 → 112
Calls

33 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
5.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
1.0ms
x
@-inf
(cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
1.0ms
x
@-inf
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))

rewrite173.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
1246×log-prod
631×log1p-expm1-u
631×expm1-log1p-u
608×fma-def
594×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027299
1314238
23535238
Stop Event
node limit
Counts
12 → 412
Calls
Call 1
Inputs
(*.f64 x -6450306886639899/50000000000000000)
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
Outputs
(+.f64 0 (*.f64 x -6450306886639899/50000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x)) (cbrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -6450306886639899/50000000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))
(+.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 0 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) (cbrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 1)
(*.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(*.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(*.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2)))
(*.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1/6) (*.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2)))
(*.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 2) 3) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2) 1) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2) (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1/6)) (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1/6))
(/.f64 (+.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3)) (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (neg.f64 (*.f64 x 238732414637843/250000000000000))))
(pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
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simplify331.0ms (6.9%)

Algorithm
egg-herbie
Rules
678×associate-*r*
664×associate-*l*
520×fma-def
310×*-commutative
264×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06526575
114756575
263656575
Stop Event
unsound
Counts
524 → 297
Calls
Call 1
Inputs
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(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(pow.f64 (*.f64 (pow.f64 x 3) 0) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 0)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 0) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 0)) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 0) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) 0)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 0))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
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(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
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(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 0))
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(pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) 3)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)) 2))
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(log.f64 (*.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 0)))))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 0))) (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 0))) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))
(exp.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))
Outputs
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x 238732414637843/250000000000000)
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))) (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))))
(*.f64 -6450306886639899/50000000000000000 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))))
(*.f64 -6450306886639899/50000000000000000 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))) 1)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)) 1)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)) (log.f64 (exp.f64 1)))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 1 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) 2))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) 2) (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))
(*.f64 -6450306886639899/50000000000000000 x)
(/.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (pow.f64 (*.f64 (pow.f64 x 3) 0) 3)) (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) 0) 2) (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 0)))))
(*.f64 -6450306886639899/50000000000000000 x)
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (pow.f64 (*.f64 (pow.f64 x 3) 0) 2)) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 0)))
(*.f64 -6450306886639899/50000000000000000 x)
(pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)) 1)
(*.f64 -6450306886639899/50000000000000000 x)
(pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) 3)
(*.f64 -6450306886639899/50000000000000000 x)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)) 3) 1/3)
(*.f64 -6450306886639899/50000000000000000 x)
(pow.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) 2)
(*.f64 -6450306886639899/50000000000000000 x)
(sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)) 2))
(*.f64 -6450306886639899/50000000000000000 x)
(log.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))
(*.f64 -6450306886639899/50000000000000000 x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))))
(*.f64 -6450306886639899/50000000000000000 x)
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 x 3) 0)) (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 x)
(log.f64 (*.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 0)))))
(*.f64 -6450306886639899/50000000000000000 x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (exp.f64 (*.f64 (pow.f64 x 3) 0))))
(*.f64 -6450306886639899/50000000000000000 x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 0)))))
(*.f64 -6450306886639899/50000000000000000 x)
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 x 3) 0)) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(*.f64 -6450306886639899/50000000000000000 x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 0))) (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 0))) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(*.f64 -6450306886639899/50000000000000000 x)
(cbrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)) 3))
(*.f64 -6450306886639899/50000000000000000 x)
(expm1.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))
(*.f64 -6450306886639899/50000000000000000 x)
(exp.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))
(*.f64 -6450306886639899/50000000000000000 x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) 1))
(*.f64 -6450306886639899/50000000000000000 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) 1) 1))
(*.f64 -6450306886639899/50000000000000000 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))) 3))
(*.f64 -6450306886639899/50000000000000000 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))) 1/3))
(*.f64 -6450306886639899/50000000000000000 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))) 2))
(*.f64 -6450306886639899/50000000000000000 x)
(log1p.f64 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))))
(*.f64 -6450306886639899/50000000000000000 x)

eval216.0ms (4.5%)

Compiler

Compiled 6697 to 5367 computations (19.9% saved)

prune97.0ms (2%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New4113414
Fresh213
Picked235
Done044
Total41511426
Accuracy
100.0%
Counts
426 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
45.6%
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
99.8%
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
98.6%
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
99.3%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.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)))
51.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
51.8%
(*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000))
50.0%
(*.f64 x 238732414637843/250000000000000)
54.2%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
45.6%
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
99.8%
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
98.6%
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
99.3%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.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)))
51.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
51.8%
(*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000))
50.0%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 232 to 172 computations (25.9% saved)

localize273.0ms (5.7%)

Compiler

Compiled 106 to 74 computations (30.2% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune12.0ms (0.3%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done077
Total01111
Accuracy
100.0%
Counts
11 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
45.6%
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
99.8%
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
98.6%
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
99.3%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.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)))
51.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
51.8%
(*.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000))
50.0%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 394 to 285 computations (27.7% saved)

regimes63.0ms (1.3%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.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 (pow.f64 x 2) -6450306886639899/50000000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) 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)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3))
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)) (fma.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (pow.f64 x 2) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) (*.f64 (/.f64 (pow.f64 x 6) (*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) -41606458931834106848498498730201/2500000000000000000000000000000000))
Outputs
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
Calls

2 calls:

33.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
23.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 292 to 208 computations (28.8% saved)

regimes9.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.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 (pow.f64 x 2) -6450306886639899/50000000000000000))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Calls

2 calls:

4.0ms
x
4.0ms
(-.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 41 to 28 computations (31.7% saved)

regimes3.0ms (0.1%)

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
50.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01884
13384
25484
37084
48284
58784
68984
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x 238732414637843/250000000000000)
Outputs
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 26 to 19 computations (26.9% saved)

soundness409.0ms (8.5%)

Rules
1050×distribute-rgt-in
1046×distribute-lft-in
972×unswap-sqr
846×fma-def
778×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018106
1210106
22368106
045913440
199812432
2314612420
Stop Event
node limit
node limit
Compiler

Compiled 57 to 36 computations (36.8% saved)

end0.0ms (0%)

preprocess63.0ms (1.3%)

Compiler

Compiled 72 to 50 computations (30.6% saved)

Profiling

Loading profile data...