Rosa's Benchmark

Time bar (total: 6.4s)

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)

sample760.0ms (11.8%)

Results
526.0ms5526×body256valid
223.0ms2730×body256infinite
Bogosity

preprocess117.0ms (1.8%)

Algorithm
egg-herbie
Rules
2602×fma-def
1424×distribute-lft-neg-in
1416×unswap-sqr
1056×distribute-rgt-neg-in
1022×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017101
15267
216563
349063
483363
5134463
6182263
7213563
8261363
9358663
10557863
11753563
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(-.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(+.f64 (*.f64 238732414637843/250000000000000 (neg.f64 x)) (*.f64 -6450306886639899/50000000000000000 (neg.f64 (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x -238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x -238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) -238732414637843/250000000000000))
Compiler

Compiled 12 to 8 computations (33.3% saved)

eval1.0ms (0%)

Compiler

Compiled 44 to 29 computations (34.1% saved)

prune4.0ms (0.1%)

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

Compiled 78 to 54 computations (30.8% saved)

localize129.0ms (2%)

Localize:

Found 11 expressions with local error:

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

Compiled 94 to 52 computations (44.7% saved)

series8.0ms (0.1%)

Counts
11 → 108
Calls

33 calls:

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

rewrite226.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
1496×log-prod
1250×fma-def
540×expm1-udef
532×log1p-udef
404×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021161
1455161
25233161
Stop Event
node limit
Counts
11 → 925
Calls
Call 1
Inputs
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x -6450306886639899/50000000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(*.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 -6450306886639899/50000000000000000 (pow.f64 x 3))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
Outputs
(+.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) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(+.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1))
(+.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (+.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.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))
(+.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(+.f64 0 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (*.f64 x 238732414637843/250000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))) (/.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
(/.f64 1 (/.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(/.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)) (+.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) 6450306886639899/50000000000000000) (pow.f64 x 3)))))
(/.f64 (-.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)
(sqrt.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(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 (*.f64 x 238732414637843/250000000000000))) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(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 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
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(*.f64 (*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (sqrt.f64 x)) (sqrt.f64 x))
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(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
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(/.f64 (-.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
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(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
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simplify552.0ms (8.6%)

Algorithm
egg-herbie
Rules
1818×fma-neg
662×log-prod
630×associate-*r*
576×fma-def
568×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059842617
1131535199
2528734881
Stop Event
node limit
Counts
1033 → 450
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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238732414637843/250000000000000
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(*.f64 (*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
(/.f64 1 (/.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(/.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)) (+.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) 6450306886639899/50000000000000000) (pow.f64 x 3)))))
(/.f64 (-.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)
(sqrt.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(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 (*.f64 x 238732414637843/250000000000000))) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(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 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(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 (*.f64 x 238732414637843/250000000000000))) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(hypot.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (/.f64 1 (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 238732414637843/250000000000000 x))
(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 238732414637843/250000000000000 x))
(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 238732414637843/250000000000000 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (/.f64 1 (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 238732414637843/250000000000000 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 238732414637843/250000000000000 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 238732414637843/250000000000000 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.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)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (pow.f64 (exp.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 238732414637843/250000000000000 x))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(log.f64 (*.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 238732414637843/250000000000000 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 238732414637843/250000000000000 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
(log.f64 (*.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))
(fma.f64 238732414637843/250000000000000 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 238732414637843/250000000000000 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
(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 238732414637843/250000000000000 x))
(log.f64 (/.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(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 238732414637843/250000000000000 x))
(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 238732414637843/250000000000000 x))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(hypot.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(hypot.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))

eval213.0ms (3.3%)

Compiler

Compiled 9397 to 6900 computations (26.6% saved)

prune79.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New43911450
Fresh000
Picked224
Done000
Total44113454
Accuracy
100.0%
Counts
454 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
49.4%
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
98.7%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
50.5%
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
39.4%
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
72.3%
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
50.1%
(*.f64 x 238732414637843/250000000000000)
51.5%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
49.4%
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
98.7%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
50.5%
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
39.4%
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
72.3%
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
50.1%
(*.f64 x 238732414637843/250000000000000)
51.5%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Compiler

Compiled 554 to 388 computations (30% saved)

localize120.0ms (1.9%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (*.f64 x x) x)
99.8%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
99.7%
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
41.3%
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
99.8%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.8%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
99.8%
(*.f64 x 238732414637843/250000000000000)
99.9%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 104 to 60 computations (42.3% saved)

series9.0ms (0.1%)

Counts
8 → 84
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
2.0ms
x
@0
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
0.0ms
x
@-inf
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
0.0ms
x
@inf
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
0.0ms
x
@inf
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)

rewrite121.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1510×log-prod
1340×prod-diff
656×pow-exp
550×expm1-udef
542×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019112
138998
2408094
Stop Event
node limit
Counts
8 → 206
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
Outputs
(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
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(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
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simplify142.0ms (2.2%)

Algorithm
egg-herbie
Rules
1314×log-prod
478×cancel-sign-sub-inv
392×sqr-pow
384×times-frac
378×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03464326
17464154
226833904
373433904
Stop Event
node limit
Counts
290 → 182
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
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(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(+.f64 0 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(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)))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)))
(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 3 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))) 2))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 0 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)
(pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 0 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(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)))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)))
(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 3 (fma.f64 3 (log.f64 x) (log.f64 -6450306886639899/50000000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 x -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 x) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (pow.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 1/3))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (pow.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 1/3) x)
(*.f64 (pow.f64 1 1/3) (*.f64 x 238732414637843/250000000000000))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) 1/3)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3/2))) 1/3)) (exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3/2))) 1/3)))
(*.f64 (*.f64 238732414637843/250000000000000 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(+.f64 0 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1) 3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1) 1))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 3 (log.f64 x) (log.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
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eval106.0ms (1.6%)

Compiler

Compiled 4760 to 3305 computations (30.6% saved)

prune44.0ms (0.7%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New3432345
Fresh426
Picked145
Done022
Total34810358
Accuracy
100.0%
Counts
358 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.5%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
50.1%
(*.f64 x 238732414637843/250000000000000)
51.5%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
26.4%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.5%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
50.1%
(*.f64 x 238732414637843/250000000000000)
51.5%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
26.4%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 176 to 120 computations (31.8% saved)

localize87.0ms (1.3%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (*.f64 x x) x)
99.8%
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
99.8%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
98.4%
(cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
100.0%
(-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
99.7%
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)
99.8%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
99.7%
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
99.7%
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
56.5%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 98 to 44 computations (55.1% saved)

series6.0ms (0.1%)

Counts
9 → 84
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
1.0ms
x
@0
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
0.0ms
x
@inf
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
0.0ms
x
@-inf
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
0.0ms
x
@inf
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))

rewrite135.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1558×log-prod
612×pow-exp
548×expm1-udef
538×log1p-udef
466×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019137
1397111
24625103
Stop Event
node limit
Counts
9 → 283
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))
(cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
Outputs
(+.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)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2))
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000) 1/2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(*.f64 (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2) x)
(*.f64 (pow.f64 1 1/2) (*.f64 x 238732414637843/250000000000000))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 1/2))
(*.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 1/2)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(fabs.f64 (*.f64 x 238732414637843/250000000000000))
(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 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/2) 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 (log.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(+.f64 0 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 56993165798814994692847692649/62500000000000000000000000000) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 56993165798814994692847692649/62500000000000000000000000000) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 56993165798814994692847692649/62500000000000000000000000000) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 56993165798814994692847692649/62500000000000000000000000000) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 56993165798814994692847692649/62500000000000000000000000000) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))) 1)
(pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 3)
(pow.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3) 1/3)
(sqrt.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 56993165798814994692847692649/62500000000000000000000000000) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(exp.f64 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(+.f64 0 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))))
(-.f64 0 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)
(pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)
(neg.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))
(log.f64 (/.f64 1 (/.f64 1 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 0 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (cbrt.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) (log.f64 (sqrt.f64 (exp.f64 (*.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 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2)
(sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) (pow.f64 x 3)))
(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 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 0 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))))
(-.f64 0 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)
(pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)
(neg.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))
(log.f64 (/.f64 1 (/.f64 1 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3) 1/3))
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(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 238732414637843/250000000000000)
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(fma.f64 (*.f64 6450306886639899/50000000000000000 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 238732414637843/250000000000000)
238732414637843/250000000000000
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(+.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 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 1/2)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(fabs.f64 (*.f64 x 238732414637843/250000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))

simplify198.0ms (3.1%)

Algorithm
egg-herbie
Rules
968×times-frac
942×log-prod
450×associate-*r*
450×associate-*l*
444×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04906629
110596379
235306331
Stop Event
node limit
Counts
367 → 288
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
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(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
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238732414637843/250000000000000
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 x (neg.f64 (*.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x (neg.f64 x)) 238732414637843/250000000000000)
(fma.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (neg.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) 238732414637843/250000000000000)
(fma.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) (neg.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) 238732414637843/250000000000000)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1 238732414637843/250000000000000)
(fma.f64 (*.f64 x (neg.f64 x)) 6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000)
(fma.f64 (*.f64 x 6450306886639899/50000000000000000) x 238732414637843/250000000000000)
(fma.f64 -1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (neg.f64 x) (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 238732414637843/250000000000000)
(fma.f64 (neg.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) 1) x 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.f64 x) 238732414637843/250000000000000)
(fma.f64 (*.f64 6450306886639899/50000000000000000 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 238732414637843/250000000000000)
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 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 1/2)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(fabs.f64 (*.f64 x 238732414637843/250000000000000))
(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 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/2) 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 (log.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))
(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 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.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 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.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 (*.f64 x x) 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 (*.f64 x x) 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 (*.f64 x x) 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 (*.f64 x x) 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 (*.f64 x x) 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 (*.f64 x x) 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 (*.f64 x x) 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 (*.f64 x x) 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 (*.f64 x x) 238732414637843/250000000000000))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
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(fma.f64 -1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (neg.f64 x) (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (neg.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))) 238732414637843/250000000000000)
(-.f64 238732414637843/250000000000000 (*.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(fma.f64 (neg.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 2)) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) 1) x 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.f64 x) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 6450306886639899/50000000000000000 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 2)) 238732414637843/250000000000000)
238732414637843/250000000000000
(+.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 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 1/2)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(*.f64 238732414637843/250000000000000 x)
(sqrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 238732414637843/250000000000000 x)
(fabs.f64 (*.f64 x 238732414637843/250000000000000))
(*.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 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/2))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1) 1/2))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/2) 1))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1) 1))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 3))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) 1/3))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))
(*.f64 238732414637843/250000000000000 x)
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)

eval170.0ms (2.6%)

Compiler

Compiled 4180 to 3156 computations (24.5% saved)

prune93.0ms (1.5%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New3302332
Fresh000
Picked044
Done066
Total33012342
Accuracy
100.0%
Counts
342 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.5%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
51.5%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
50.1%
(*.f64 x 238732414637843/250000000000000)
5.0%
(*.f64 x -238732414637843/250000000000000)
51.5%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
26.4%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.5%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
51.5%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
50.1%
(*.f64 x 238732414637843/250000000000000)
5.0%
(*.f64 x -238732414637843/250000000000000)
51.5%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
26.4%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 204 to 140 computations (31.4% saved)

localize39.0ms (0.6%)

Localize:

Found 5 expressions with local error:

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

Compiled 34 to 23 computations (32.4% saved)

series1.0ms (0%)

Counts
5 → 60
Calls

15 calls:

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

rewrite99.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1114×log-prod
708×prod-exp
658×pow-prod-down
478×pow-prod-up
436×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01171
123771
2289163
Stop Event
node limit
Counts
5 → 164
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 x 6450306886639899/50000000000000000)
(-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))
Outputs
(+.f64 0 (*.f64 x -238732414637843/250000000000000))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))))
(-.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 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)) 1/2)
(pow.f64 (pow.f64 (*.f64 x -238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x -238732414637843/250000000000000) 3))
(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 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 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 1)
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (fma.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000))
(/.f64 (*.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (fma.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000))
(/.f64 (*.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))
(fma.f64 238732414637843/250000000000000 x (*.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) x))
(+.f64 0 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 6450306886639899/50000000000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 6450306886639899/50000000000000000) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 6450306886639899/50000000000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 6450306886639899/50000000000000000) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 1)
(pow.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 1)
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simplify152.0ms (2.4%)

Algorithm
egg-herbie
Rules
1606×log-prod
1098×fma-neg
488×log-pow
416×prod-exp
394×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03873978
18643726
225863686
364113654
Stop Event
node limit
Counts
224 → 215
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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(*.f64 -238732414637843/250000000000000 x)
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238732414637843/250000000000000
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 x (neg.f64 (*.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 x 6450306886639899/50000000000000000) (neg.f64 x) 238732414637843/250000000000000)
(fma.f64 1 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (neg.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) (neg.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) 238732414637843/250000000000000)
(fma.f64 (neg.f64 x) (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 -1 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)
(fma.f64 (neg.f64 (*.f64 x 6450306886639899/50000000000000000)) x 238732414637843/250000000000000)
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 238732414637843/250000000000000)
(fma.f64 (neg.f64 (*.f64 x x)) 6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 (neg.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 (neg.f64 x) x) 6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 (*.f64 (neg.f64 x) 6450306886639899/50000000000000000) x 238732414637843/250000000000000)
(fma.f64 (*.f64 (neg.f64 x) 1) (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (*.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (*.f64 x 6450306886639899/50000000000000000))) (sqrt.f64 (*.f64 x 6450306886639899/50000000000000000)) 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 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 0 (*.f64 x -238732414637843/250000000000000))
(*.f64 -238732414637843/250000000000000 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))))
(*.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 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)) 1/2)
(sqrt.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(fabs.f64 (*.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 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(fabs.f64 (*.f64 -238732414637843/250000000000000 x))
(log.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))
(*.f64 -238732414637843/250000000000000 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -238732414637843/250000000000000))))
(*.f64 -238732414637843/250000000000000 x)
(cbrt.f64 (pow.f64 (*.f64 x -238732414637843/250000000000000) 3))
(*.f64 -238732414637843/250000000000000 x)
(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)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -238732414637843/250000000000000)) 1) 1))
(*.f64 -238732414637843/250000000000000 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -238732414637843/250000000000000))) 3))
(*.f64 -238732414637843/250000000000000 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -238732414637843/250000000000000))) 1/3))
(*.f64 -238732414637843/250000000000000 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -238732414637843/250000000000000))) 2))
(*.f64 -238732414637843/250000000000000 x)
(log1p.f64 (expm1.f64 (*.f64 x -238732414637843/250000000000000)))
(*.f64 -238732414637843/250000000000000 x)
(+.f64 0 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 1)
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
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eval83.0ms (1.3%)

Compiler

Compiled 2769 to 1896 computations (31.5% saved)

prune54.0ms (0.8%)

Pruning

12 alts after pruning (0 fresh and 12 done)

PrunedKeptTotal
New2150215
Fresh000
Picked022
Done01010
Total21512227
Accuracy
100.0%
Counts
227 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.5%
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
51.5%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.5%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
50.1%
(*.f64 x 238732414637843/250000000000000)
5.0%
(*.f64 x -238732414637843/250000000000000)
51.5%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
26.4%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 285 to 178 computations (37.5% saved)

regimes50.0ms (0.8%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(-.f64 (*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.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)))
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
Outputs
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
Calls

2 calls:

38.0ms
x
7.0ms
(-.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 197 to 117 computations (40.6% saved)

regimes17.0ms (0.3%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
Outputs
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
Calls

2 calls:

9.0ms
x
5.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 91 to 55 computations (39.6% saved)

regimes15.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
Outputs
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes10.0ms (0.2%)

Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Outputs
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
50.1%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes6.0ms (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
5.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
9.135988994232703e-8
342885.1397683404
12.0ms
-3.199989690964068
-0.021352015371543166
Results
25.0ms272×body256valid
Compiler

Compiled 254 to 181 computations (28.7% saved)

bsearch28.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
9.135988994232703e-8
342885.1397683404
11.0ms
-3.199989690964068
-0.021352015371543166
Results
24.0ms272×body256valid
Compiler

Compiled 254 to 181 computations (28.7% saved)

simplify45.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031180
152180
264180
375180
481180
584180
685180
Stop Event
done
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x -238732414637843/250000000000000)
Outputs
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (or (<=.f64 x -3039929748475085/1125899906842624) (not (<=.f64 x 3039929748475085/1125899906842624))) (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x -238732414637843/250000000000000)
Compiler

Compiled 75 to 51 computations (32% saved)

soundness2.4s (37.6%)

Rules
2602×fma-def
1818×fma-neg
1818×fma-neg
1510×log-prod
1496×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017101
15267
216563
349063
483363
5134463
6182263
7213563
8261363
9358663
10557863
11753563
021161
1455161
25233161
019112
138998
2408094
04906629
110596379
235306331
059842617
1131535199
2528734881
059842617
1131535199
2528734881
021161
1455161
25233161
04906629
110596379
235306331
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 429 to 258 computations (39.9% saved)

end0.0ms (0%)

preprocess60.0ms (0.9%)

Compiler

Compiled 164 to 104 computations (36.6% saved)

Profiling

Loading profile data...