Rosa's Benchmark

Time bar (total: 4.4s)

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)

sample833.0ms (18.9%)

Results
515.0ms5501×body256valid
306.0ms2755×body256infinite
Bogosity

preprocess153.0ms (3.5%)

Algorithm
egg-herbie
Rules
2662×fma-def
1416×unswap-sqr
1412×distribute-lft-neg-in
1078×distribute-rgt-neg-in
984×cancel-sign-sub-inv
Problems
255×No Errors
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020180
157112
2183108
3532108
4875108
51388108
61852108
72165108
82647108
93618108
105607108
117572108
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(neg.f64 (-.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x)))))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(+.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 -6450306886639899/50000000000000000 (neg.f64 (*.f64 x (*.f64 x x)))))
(-.f64 (*.f64 x -238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x -238732414637843/250000000000000))
(fma.f64 x -238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(neg.f64 (-.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x)))))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
Symmetry

(negabs x)

Compiler

Compiled 46 to 23 computations (50% saved)

eval1.0ms (0%)

Compiler

Compiled 20 to 14 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
99.5%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize56.0ms (1.3%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
99.6%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
100.0%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.9%
(*.f64 (*.f64 x x) x)
99.8%
(*.f64 238732414637843/250000000000000 x)
99.6%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
Compiler

Compiled 54 to 30 computations (44.4% saved)

series5.0ms (0.1%)

Counts
6 → 60
Calls

18 calls:

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

rewrite153.0ms (3.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
018106
1210106
22376106
Stop Event
node limit
Counts
6 → 327
Calls
Call 1
Inputs
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x x) x)
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
Outputs
(+.f64 0 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))))
(-.f64 0 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(pow.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(neg.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(cbrt.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))
(expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)) 1))
(exp.f64 (*.f64 (*.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 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 0 (*.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 (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 x 238732414637843/250000000000000))) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))
(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 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(+.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 (*.f64 x 238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) 0))
(+.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 0)
(+.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 2) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) (fma.f64 (neg.f64 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 0 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))
(+.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) (cbrt.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))))
(*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 1)
(*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))
(*.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) (pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 2) (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(*.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2) (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(*.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))) (/.f64 1 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 238732414637843/250000000000000) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))))
(/.f64 1 (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(/.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))) (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))) (neg.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2)) (neg.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))) (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 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3) 0) (+.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2) (-.f64 0 (*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 0))))
(/.f64 (-.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2) 0) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))
(pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2) 1/2)
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simplify193.0ms (4.4%)

Algorithm
egg-herbie
Rules
1064×unswap-sqr
696×fma-neg
684×cancel-sign-sub-inv
530×distribute-lft-neg-in
512×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045811535
1100210956
2318310736
Stop Event
node limit
Counts
387 → 279
Calls
Call 1
Inputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
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(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
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(/.f64 (neg.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2)) (neg.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))) (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 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3) 0) (+.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2) (-.f64 0 (*.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 0))))
(/.f64 (-.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2) 0) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))
(pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 2)
(pow.f64 (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) -1)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2))
(log.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 1))
(log.f64 (*.f64 1 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(log.f64 (/.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 1))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 1))
(log.f64 (/.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(hypot.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
Outputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.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))
(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 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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
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(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 0 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 0 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(pow.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(pow.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)) 1/3)
(cbrt.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(neg.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(cbrt.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))
(expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)) 1))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000)) 1) 1))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
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(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000)))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 1))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 1 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (/.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 1))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 1))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log.f64 (/.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (exp.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 x 238732414637843/250000000000000))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(hypot.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 1))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 1) 1))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 3))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3)) 1/3))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 2))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))

eval150.0ms (3.4%)

Compiler

Compiled 4586 to 3584 computations (21.8% saved)

prune81.0ms (1.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New26613279
Fresh000
Picked022
Done000
Total26615281
Accuracy
100.0%
Counts
281 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
56.6%
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
99.8%
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
99.5%
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
56.8%
(/.f64 1 (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
99.2%
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
98.3%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.5%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
31.9%
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
44.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
38.9%
(*.f64 (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) (-.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
57.0%
(*.f64 x 238732414637843/250000000000000)
19.9%
(cbrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3))
Compiler

Compiled 343 to 263 computations (23.3% saved)

localize200.0ms (4.5%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 x 238732414637843/250000000000000)
99.8%
(pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3)
99.6%
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
55.2%
(cbrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3))
99.9%
(*.f64 (*.f64 x x) x)
99.8%
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
99.6%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
33.9%
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
100.0%
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
99.8%
(*.f64 x 238732414637843/250000000000000)
99.5%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
99.8%
(*.f64 x 238732414637843/250000000000000)
100.0%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(*.f64 x 238732414637843/250000000000000)
99.7%
(*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000)
Compiler

Compiled 145 to 99 computations (31.7% saved)

series16.0ms (0.4%)

Counts
13 → 121
Calls

39 calls:

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

rewrite197.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
1320×log-prod
838×prod-diff
657×log1p-expm1-u
657×expm1-log1p-u
416×expm1-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027267
1305251
23221243
Stop Event
node limit
Counts
13 → 314
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000)
(*.f64 x 238732414637843/250000000000000)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x 238732414637843/250000000000000)
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
(cbrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3)
(*.f64 x 238732414637843/250000000000000)
Outputs
(+.f64 0 (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3/2)) -6450306886639899/50000000000000000)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3/2)) -6450306886639899/50000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3/2)) -6450306886639899/50000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3/2)) -6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3/2)) -6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000))) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) 1)
(pow.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/4) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 3) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3/2)) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000)))
(+.f64 0 (*.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 (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 x 238732414637843/250000000000000))) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
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(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
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(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
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simplify186.0ms (4.2%)

Algorithm
egg-herbie
Rules
736×log-prod
698×cube-prod
638×associate-*r*
622×associate-*l*
618×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053810775
1114210277
2420810269
Stop Event
node limit
Counts
435 → 310
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
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(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (exp.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (exp.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))
(+.f64 0 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3))
(+.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 x 238732414637843/250000000000000)))
(+.f64 (*.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2)) (*.f64 (*.f64 x 238732414637843/250000000000000) (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3))) 1)
(*.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3) 1)
(*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))
(*.f64 1 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3/2) (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) 2) 3) (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) 3) (pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) 3))
(*.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) 1) (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) (sqrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3)))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3)))
(fma.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 (*.f64 x 238732414637843/250000000000000) (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2)))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 x 238732414637843/250000000000000)))
(+.f64 0 (*.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 (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 x 238732414637843/250000000000000))) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 -1 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(neg.f64 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (neg.f64 x))
(*.f64 -1 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(neg.f64 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (neg.f64 x))
(*.f64 -1 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(neg.f64 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (neg.f64 x))
(*.f64 -1 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(neg.f64 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (neg.f64 x))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
(pow.f64 (*.f64 238732414637843/250000000000000 x) 3)
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
(pow.f64 (*.f64 238732414637843/250000000000000 x) 3)
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
(pow.f64 (*.f64 238732414637843/250000000000000 x) 3)
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
(pow.f64 (*.f64 238732414637843/250000000000000 x) 3)
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
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(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(*.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 (*.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 238732414637843/250000000000000 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(*.f64 238732414637843/250000000000000 x)
(sqrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(*.f64 238732414637843/250000000000000 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 238732414637843/250000000000000 x)
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(*.f64 238732414637843/250000000000000 x)
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(*.f64 238732414637843/250000000000000 x)
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)

eval168.0ms (3.8%)

Compiler

Compiled 6705 to 5294 computations (21% saved)

prune67.0ms (1.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4201421
Fresh538
Picked235
Done112
Total4288436
Accuracy
100.0%
Counts
436 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
99.0%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.5%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
44.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
57.0%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 80 to 59 computations (26.3% saved)

localize110.0ms (2.5%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.9%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 x 238732414637843/250000000000000)
99.9%
(*.f64 (*.f64 x x) x)
99.8%
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
99.6%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
98.4%
(cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
99.6%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
100.0%
(-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
99.5%
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
Compiler

Compiled 100 to 65 computations (35% saved)

series4.0ms (0.1%)

Counts
8 → 72
Calls

21 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
0.0ms
x
@-inf
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
0.0ms
x
@inf
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
0.0ms
x
@-inf
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
0.0ms
x
@0
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))

rewrite115.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1274×log-prod
1002×prod-diff
660×log1p-expm1-u
660×expm1-log1p-u
398×expm1-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024145
1278145
23360133
Stop Event
node limit
Counts
8 → 246
Calls
Call 1
Inputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 x -6450306886639899/50000000000000000)
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
Outputs
(+.f64 0 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))) 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 6450306886639899/50000000000000000) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 0 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 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 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (pow.f64 x 2)))))
(/.f64 (*.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (pow.f64 x 2)))))
(/.f64 (*.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.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 x 238732414637843/250000000000000)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000) (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 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 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 x (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 x 2) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x 238732414637843/250000000000000) 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 1 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 2) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 2) (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 (pow.f64 x 2) -6450306886639899/50000000000000000) x (*.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))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
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simplify150.0ms (3.4%)

Algorithm
egg-herbie
Rules
816×log-prod
784×cancel-sign-sub-inv
590×distribute-lft-neg-in
586×distribute-rgt-neg-in
526×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04768094
110067759
235377468
Stop Event
node limit
Counts
318 → 269
Calls
Call 1
Inputs
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238732414637843/250000000000000
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(*.f64 (pow.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 1/6) (pow.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 1/6))
(pow.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 3)
(pow.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 1/3)
(pow.f64 (pow.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 1/6) 2)
(sqrt.f64 (cbrt.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000))
(log.f64 (exp.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))
(expm1.f64 (log1p.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(exp.f64 (log.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1))
(exp.f64 (*.f64 (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(+.f64 0 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) x)) (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))) 1)
(pow.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(cbrt.f64 (*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))
(exp.f64 (log.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))
(+.f64 0 (*.f64 x -6450306886639899/50000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000)) (cbrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))
(-.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 x) -6450306886639899/50000000000000000))
(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))
(log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 0 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))) 1)
(*.f64 x (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000) x)
(*.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(*.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 (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))) 2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)) x))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2))) (cbrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (pow.f64 x 2)))))
(/.f64 (*.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (pow.f64 x 2)))))
(/.f64 (*.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.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 x 238732414637843/250000000000000)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000) (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 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 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
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(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))

eval123.0ms (2.8%)

Compiler

Compiled 4945 to 3836 computations (22.4% saved)

prune43.0ms (1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3422344
Fresh000
Picked224
Done044
Total3448352
Accuracy
100.0%
Counts
352 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
99.0%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.5%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
44.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
45.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
57.0%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 76 to 55 computations (27.6% saved)

localize54.0ms (1.2%)

Localize:

Found 5 expressions with local error:

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

Compiled 40 to 28 computations (30% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
0.0ms
x
@0
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
0.0ms
x
@inf
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
0.0ms
x
@0
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
0.0ms
x
@inf
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))

rewrite74.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1146×unpow-prod-down
798×log-prod
624×pow-prod-down
608×log1p-expm1-u
608×expm1-log1p-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01576
115367
2178661
Stop Event
node limit
Counts
3 → 126
Calls
Call 1
Inputs
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000)
Outputs
(+.f64 0 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)))))
(+.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 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(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 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 0 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 1)
(pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 2))
(log.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(exp.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1 (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 x 2) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 x 2) (*.f64 238732414637843/250000000000000 x))
(fma.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (*.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (*.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) x) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 2) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 2) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 2) (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 2) (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 2)) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 x 2)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 2)) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 x 2)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 x 2)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 x 2)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (log.f64 (exp.f64 238732414637843/250000000000000)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 0 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 1)
(*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 1)
(*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
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(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 3))
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simplify98.0ms (2.2%)

Algorithm
egg-herbie
Rules
1084×log-prod
1038×fma-def
836×distribute-lft-in
834×unswap-sqr
796×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02894154
16174019
216443985
363743960
Stop Event
node limit
Counts
162 → 157
Calls
Call 1
Inputs
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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238732414637843/250000000000000
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(fma.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 x 2)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (log.f64 (exp.f64 238732414637843/250000000000000)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 0 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 1)
(*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 1)
(*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2) 3) (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 3))
(*.f64 (pow.f64 1 1/3) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000))))
(/.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) -238732414637843/250000000000000))
(pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)))
Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.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)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000)
(+.f64 0 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)))))
(+.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 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9) 1/3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1) 1))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9)) 1/3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 0 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 2) 238732414637843/250000000000000))))))
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eval67.0ms (1.5%)

Compiler

Compiled 2541 to 2013 computations (20.8% saved)

prune33.0ms (0.7%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1970197
Fresh000
Picked022
Done066
Total1978205
Accuracy
100.0%
Counts
205 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
99.0%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.5%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
44.7%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
45.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
57.0%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 271 to 190 computations (29.9% saved)

regimes17.0ms (0.4%)

Counts
18 → 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 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(-.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 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(/.f64 1 (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 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 x 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)) 3))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) (-.f64 (*.f64 (pow.f64 x 2) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))
Outputs
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
Calls

2 calls:

10.0ms
x
6.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes53.0ms (1.2%)

Counts
14 → 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 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(-.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 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 2) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(/.f64 1 (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Outputs
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
Calls

2 calls:

11.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
8.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes10.0ms (0.2%)

Counts
8 → 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 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(-.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))
Outputs
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
Calls

2 calls:

5.0ms
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 14 to 9 computations (35.7% saved)

regimes11.0ms (0.3%)

Counts
5 → 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 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
Outputs
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
Calls

2 calls:

6.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
4.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes8.0ms (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 -6450306886639899/50000000000000000 (pow.f64 x 2)))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 14 to 9 computations (35.7% 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
57.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029192
149192
269192
385192
498192
5104192
6106192
Stop Event
done
saturated
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x 238732414637843/250000000000000)
Outputs
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) x (*.f64 x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (pow.f64 x 2) 6450306886639899/50000000000000000)))
(*.f64 x (fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000))
(-.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 59 to 43 computations (27.1% saved)

soundness799.0ms (18.1%)

Rules
1274×log-prod
1064×unswap-sqr
1002×prod-diff
846×fma-def
846×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018106
1210106
22376106
045811535
1100210956
2318310736
018106
1210106
22376106
024145
1278145
23360133
018106
1210106
22376106
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 453 to 262 computations (42.2% saved)

end0.0ms (0%)

preprocess163.0ms (3.7%)

Compiler

Compiled 158 to 112 computations (29.1% saved)

Profiling

Loading profile data...