Rosa's Benchmark

Time bar (total: 11.0s)

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)

sample1.2s (10.9%)

Results
865.0ms5597×body256valid
315.0ms2659×body256infinite
Bogosity

preprocess121.0ms (1.1%)

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%)

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 (1.2%)

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

Compiled 94 to 52 computations (44.7% saved)

series23.0ms (0.2%)

Counts
11 → 108
Calls

33 calls:

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

rewrite385.0ms (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 -6450306886639899/50000000000000000)
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(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 0 (*.f64 x -6450306886639899/50000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000)) (cbrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (*.f64 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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1))
(+.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(+.f64 0 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) (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 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) (/.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 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 x (*.f64 238732414637843/250000000000000 (*.f64 -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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (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))))))
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simplify501.0ms (4.6%)

Algorithm
egg-herbie
Rules
1766×fma-neg
666×log-prod
624×associate-*r*
556×fma-def
548×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059840571
1131433553
2518933499
Stop Event
node limit
Counts
1033 → 425
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
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(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
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(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 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 x (*.f64 238732414637843/250000000000000 (*.f64 -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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (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 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (/.f64 (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 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(hypot.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
Outputs
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
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)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
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(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)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
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)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(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)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
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(fma.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) x (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
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(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))

eval231.0ms (2.1%)

Compiler

Compiled 8754 to 6157 computations (29.7% saved)

prune72.0ms (0.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New4178425
Fresh000
Picked224
Done000
Total41910429
Accuracy
100.0%
Counts
429 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
53.3%
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
53.4%
(*.f64 x (fma.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000))
99.8%
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
70.5%
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000)))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
52.4%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
48.3%
(*.f64 x 238732414637843/250000000000000)
52.4%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
46.6%
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
53.3%
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
53.4%
(*.f64 x (fma.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000))
99.8%
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
70.5%
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000)))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
52.4%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
48.3%
(*.f64 x 238732414637843/250000000000000)
52.4%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Compiler

Compiled 394 to 268 computations (32% saved)

localize268.0ms (2.4%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
99.9%
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
99.7%
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
93.0%
(sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
99.9%
(*.f64 -6450306886639899/50000000000000000 x)
99.9%
(*.f64 (*.f64 x x) (*.f64 x x))
99.9%
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))
80.6%
(/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000))
99.9%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
99.9%
(*.f64 x 238732414637843/250000000000000)
100.0%
(-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))
99.9%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
99.9%
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)
Compiler

Compiled 168 to 85 computations (49.4% saved)

series19.0ms (0.2%)

Counts
13 → 108
Calls

39 calls:

TimeVariablePointExpression
5.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
2.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
2.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
1.0ms
x
@-inf
(sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
1.0ms
x
@0
(sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))

rewrite237.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
978×prod-diff
602×add-sqr-sqrt
574×pow1
570×*-un-lft-identity
564×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030229
1648193
27777193
Stop Event
node limit
Counts
13 → 379
Calls
Call 1
Inputs
(*.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))
(*.f64 x 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 x)
(sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
Outputs
(-.f64 0 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)
(pow.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
(pow.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 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)))
(fabs.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(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))))
(cbrt.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.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 x) (log.f64 (*.f64 x -6450306886639899/50000000000000000))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) 1)
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6))) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(*.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 1)
(*.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(*.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) 2) (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(*.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 2)) (*.f64 (cbrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(*.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(*.f64 (sqrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (*.f64 (sqrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6))) (/.f64 1 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000))
(*.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(*.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) 2)) (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 2)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (/.f64 (cbrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
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simplify317.0ms (2.9%)

Algorithm
egg-herbie
Rules
1718×fma-def
1108×log-prod
644×associate-*r*
590×associate-*l*
480×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049111981
1106011387
2452111185
Stop Event
node limit
Counts
487 → 301
Calls
Call 1
Inputs
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(/.f64 (*.f64 (-.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 4) 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000)) 1) (*.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (neg.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (neg.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (neg.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(/.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (-.f64 (+.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 4) 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000)) (*.f64 -2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 4) 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000))
(/.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 1) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2)
(pow.f64 (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) -1)
(neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(neg.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(log.f64 (/.f64 1 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) 3)))
(expm1.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x 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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) 1)
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6))) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
Outputs
(*.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))
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(*.f64 x 238732414637843/250000000000000)
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
238732414637843/250000000000000
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(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
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(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
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(*.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 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 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)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
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(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
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(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
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(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))

eval585.0ms (5.3%)

Compiler

Compiled 4967 to 3525 computations (29% saved)

prune56.0ms (0.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New2965301
Fresh213
Picked235
Done112
Total30110311
Accuracy
100.0%
Counts
311 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
57.1%
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6))) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
70.5%
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)))
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
52.4%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
48.3%
(*.f64 x 238732414637843/250000000000000)
52.4%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
27.3%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
46.6%
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
57.1%
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6))) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
70.5%
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)))
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
52.4%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
48.3%
(*.f64 x 238732414637843/250000000000000)
52.4%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
27.3%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 380 to 286 computations (24.7% saved)

localize328.0ms (3%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2))
99.9%
(*.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)))
99.6%
(pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)
99.5%
(*.f64 x (sqrt.f64 6450306886639899/50000000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.7%
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
63.6%
(/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
99.7%
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
57.4%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
99.9%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
99.7%
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
100.0%
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
99.9%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
Compiler

Compiled 164 to 113 computations (31.1% saved)

series9.0ms (0.1%)

Counts
14 → 156
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2))
1.0ms
x
@inf
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
0.0ms
x
@inf
(/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
0.0ms
x
@0
(*.f64 x (sqrt.f64 6450306886639899/50000000000000000))
0.0ms
x
@0
(*.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)))

rewrite366.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
614×add-sqr-sqrt
594×pow1
590×*-un-lft-identity
580×add-exp-log
580×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030212
1671196
Stop Event
node limit
Counts
14 → 495
Calls
Call 1
Inputs
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (sqrt.f64 6450306886639899/50000000000000000))
(pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)
(*.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)))
(-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2))
Outputs
(-.f64 0 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1)
(pow.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 1/2)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(neg.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(fabs.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 x x)) -6450306886639899/50000000000000000)))
(cbrt.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 2) (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (-.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 2) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))
(/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))
(/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))
(/.f64 (*.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))
(/.f64 (*.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) (*.f64 x x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) x (*.f64 x 238732414637843/250000000000000))
(fma.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 x 238732414637843/250000000000000))
(-.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(-.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) (pow.f64 x 4))) (/.f64 -56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(-.f64 0 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
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(/.f64 (-.f64 (*.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) (*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000)) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) 2))
(/.f64 (*.f64 (+.f64 (*.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 4) 3)) -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000) 1) (*.f64 (+.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)) (+.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 x 4) 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (*.f64 (+.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)) -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) 1) (*.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
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(/.f64 (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (neg.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))
(/.f64 (neg.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (neg.f64 (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))))
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(/.f64 (*.f64 (+.f64 (*.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 4) 3)) -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 -1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) (+.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)) (+.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 x 4) 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000))))
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(pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) 1/3)
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(sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 2))
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(log.f64 (/.f64 1 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3))
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(exp.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
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(log1p.f64 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 1 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 238732414637843/250000000000000)

simplify607.0ms (5.5%)

Algorithm
egg-herbie
Rules
1594×fma-neg
1296×log-prod
838×associate-*r*
734×associate-*l*
422×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059116947
1141215535
2592015455
Stop Event
node limit
Counts
651 → 382
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(*.f64 238732414637843/250000000000000 x)
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(/.f64 (-.f64 (*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) (pow.f64 x 4))) (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) (pow.f64 x 4)))) (*.f64 (/.f64 -56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (/.f64 -56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) (+.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) (pow.f64 x 4))) (/.f64 -56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(/.f64 (*.f64 (+.f64 (*.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 4) 3)) -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 -1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) (+.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)) (+.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 x 4) 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000))))
(/.f64 (*.f64 (+.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)) -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) (/.f64 -1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))
(/.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 1) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2)
(pow.f64 (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) -1)
(neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(log.f64 (/.f64 1 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) 3)))
(expm1.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 1 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 238732414637843/250000000000000)
Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
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(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
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238732414637843/250000000000000
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(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
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(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.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)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
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(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.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)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
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(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
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(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
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(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
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(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
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(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 x))
(*.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 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 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 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))
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(/.f64 (*.f64 (+.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)) -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) (/.f64 -1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))
(/.f64 (/.f64 (*.f64 (fma.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8) -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) -1) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 (/.f64 (fma.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8) -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (/.f64 -1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(/.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 1) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000))) (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (sqrt.f64 (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000))))
(/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))
(/.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000) 2))) (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (cbrt.f64 (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000))))
(/.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (cbrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000) 2))) (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)))
(pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 1)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(pow.f64 (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) -1)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 2))
(fabs.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(log.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(log.f64 (/.f64 1 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(cbrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 3) (pow.f64 (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000) 3)))
(expm1.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(exp.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 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 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.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 1 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) 238732414637843/250000000000000)

eval518.0ms (4.7%)

Compiler

Compiled 7926 to 5818 computations (26.6% saved)

prune111.0ms (1%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New4803483
Fresh101
Picked055
Done134
Total48211493
Accuracy
100.0%
Counts
493 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2)
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
70.5%
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)))
53.4%
(*.f64 x (+.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) 238732414637843/250000000000000))
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
52.4%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
48.3%
(*.f64 x 238732414637843/250000000000000)
5.0%
(*.f64 x -238732414637843/250000000000000)
52.4%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
27.3%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
27.3%
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2)
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
70.5%
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)))
53.4%
(*.f64 x (+.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) 238732414637843/250000000000000))
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
52.4%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
48.3%
(*.f64 x 238732414637843/250000000000000)
5.0%
(*.f64 x -238732414637843/250000000000000)
52.4%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
27.3%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 204 to 154 computations (24.5% saved)

localize117.0ms (1.1%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
99.8%
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2)
82.9%
(sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
99.9%
(*.f64 x -6450306886639899/50000000000000000)
99.9%
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))
99.9%
(sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))
99.6%
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
99.9%
(*.f64 x -238732414637843/250000000000000)
Compiler

Compiled 80 to 62 computations (22.5% saved)

series9.0ms (0.1%)

Counts
6 → 24
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
1.0ms
x
@-inf
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))
1.0ms
x
@0
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))

rewrite273.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1288×log-prod
774×pow-prod-down
664×pow-prod-up
596×pow-exp
496×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01768
135768
2337768
Stop Event
node limit
Counts
6 → 180
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))
(sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2)
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 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 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 (*.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 (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 -6450306886639899/50000000000000000))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 (*.f64 x -6450306886639899/50000000000000000) 1)
(*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 1 (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -6450306886639899/50000000000000000))
(*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (sqrt.f64 -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3/4))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -6450306886639899/50000000000000000))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x -6450306886639899/50000000000000000)) 1/2))
(*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3/4) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 5/6) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/6))
(sqrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))) 3))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4)) 2))
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simplify232.0ms (2.1%)

Algorithm
egg-herbie
Rules
1408×log-prod
992×sqr-pow
740×exp-prod
544×log-pow
522×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03983350
18442738
223962736
348732688
Stop Event
node limit
Counts
204 → 205
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 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
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(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))
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(log1p.f64 (expm1.f64 (*.f64 x -238732414637843/250000000000000)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 (*.f64 x -6450306886639899/50000000000000000) 1)
(*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 1 (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -6450306886639899/50000000000000000))
(*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (sqrt.f64 -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3/4))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -6450306886639899/50000000000000000))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x -6450306886639899/50000000000000000)) 1/2))
(*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3/4) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 5/6) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/6))
(sqrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x -6450306886639899/50000000000000000))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -6450306886639899/50000000000000000))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 0 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))) 1)
(*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 1)
(*.f64 1 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/6) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/6))
(*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4))
(*.f64 (sqrt.f64 x) (sqrt.f64 -6450306886639899/50000000000000000))
(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (sqrt.f64 x))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 1)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3/2)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3/2) 1/3)
(pow.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/4)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x -6450306886639899/50000000000000000))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x -6450306886639899/50000000000000000))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 0 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))) 2))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(+.f64 0 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 -6450306886639899/50000000000000000)) (pow.f64 x 3/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 -6450306886639899/50000000000000000)) (pow.f64 x 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 -6450306886639899/50000000000000000)) (pow.f64 x 3/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 -6450306886639899/50000000000000000)) (pow.f64 x 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)))) 1)
(*.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 1)
(*.f64 1 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)))
(*.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4) (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4))
(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2))
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/2)
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/4)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9) 1/6)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4) 2)
(fabs.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 -6450306886639899/50000000000000000)) (pow.f64 x 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9/2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4)) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))))
(+.f64 0 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (*.f64 x -6450306886639899/50000000000000000) (*.f64 x x))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) x)
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(*.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)))
(*.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 2))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 2) (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)))
(*.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4) (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3/4))
(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3/4) (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 5/6) (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) -6450306886639899/50000000000000000) 1/2) (pow.f64 x 3/2))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) 1) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
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 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 6450306886639899/50000000000000000) 2) (pow.f64 x 2)))
(*.f64 (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2) (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 6450306886639899/50000000000000000) 2) (pow.f64 x 2)))
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(pow.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/4)
(pow.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) 1/4)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9) 1/6)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9/2) 1/3)
(*.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))))
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) 3)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/2)
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(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/2)
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(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2))
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(*.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))))
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) 3)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/2)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2))
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(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2))
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(pow.f64 (exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000))) 1/2)
(sqrt.f64 (exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000))))
(sqrt.f64 (*.f64 (pow.f64 x 3) (exp.f64 (log1p.f64 -56450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) 1))
(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1) 1/2))
(pow.f64 (exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000))) 1/2)
(sqrt.f64 (exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000))))
(sqrt.f64 (*.f64 (pow.f64 x 3) (exp.f64 (log1p.f64 -56450306886639899/50000000000000000))))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1/2) 1))
(pow.f64 (exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000))) 1/2)
(sqrt.f64 (exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000))))
(sqrt.f64 (*.f64 (pow.f64 x 3) (exp.f64 (log1p.f64 -56450306886639899/50000000000000000))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))) 1) 1))
(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)))) 3))
(*.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))))
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) 3)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9/2)) 1/3))
(*.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))))
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) 3)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4)) 2))
(*.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))))
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) 3)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/2)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2))
(+.f64 0 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(*.f64 3 (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 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (*.f64 x -6450306886639899/50000000000000000) (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) x)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
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(*.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 2) (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)))
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(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -6450306886639899/50000000000000000))
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(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4) (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3/4))
(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000))))
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(*.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3/4) (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3/4) (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3/4))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 5/6) (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000))) (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 5/6))
(*.f64 (pow.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) -6450306886639899/50000000000000000) 1/2) (pow.f64 x 3/2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9))
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(*.f64 (pow.f64 x 3) (exp.f64 (log1p.f64 -56450306886639899/50000000000000000)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1))
(exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) (exp.f64 (log1p.f64 -56450306886639899/50000000000000000)))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1) 1))
(exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) (exp.f64 (log1p.f64 -56450306886639899/50000000000000000)))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)) 1/2) 2))
(exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -56450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) (exp.f64 (log1p.f64 -56450306886639899/50000000000000000)))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) 1/2))
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 9)) 1/3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

eval88.0ms (0.8%)

Compiler

Compiled 2921 to 2301 computations (21.2% saved)

prune48.0ms (0.4%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New2371238
Fresh000
Picked033
Done178
Total23811249
Accuracy
100.0%
Counts
249 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2)
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
52.4%
(*.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
70.5%
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)))
53.4%
(*.f64 x (+.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) 238732414637843/250000000000000))
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
52.4%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
48.3%
(*.f64 x 238732414637843/250000000000000)
5.0%
(*.f64 x -238732414637843/250000000000000)
27.3%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 315 to 214 computations (32.1% saved)

regimes65.0ms (0.6%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(*.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))
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)))
(*.f64 x (+.f64 (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) 238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6))) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2)
(*.f64 x (fma.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
Outputs
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
Calls

2 calls:

48.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
10.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 225 to 146 computations (35.1% saved)

regimes14.0ms (0.1%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
98.1%3x
Compiler

Compiled 23 to 13 computations (43.5% 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:

3.0ms
x
Results
AccuracySegmentsBranch
48.3%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (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:

6.0ms
x
Results
AccuracySegmentsBranch
5.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.6447957610237816
44.52266332487235
17.0ms
-22.921423595064134
-3.873025656196896e-7
Results
29.0ms256×body256valid
Compiler

Compiled 240 to 171 computations (28.8% saved)

simplify150.0ms (1.4%)

Algorithm
egg-herbie
Rules
14×*-commutative
+-commutative
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02490
13790
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(if (<=.f64 x -3152519739159347/1125899906842624) (*.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
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(if (<=.f64 x -3152519739159347/1125899906842624) (*.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 -3152519739159347/1125899906842624) (not (<=.f64 x 3039929748475085/1125899906842624))) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (*.f64 x 238732414637843/250000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x -238732414637843/250000000000000)
Compiler

Compiled 38 to 27 computations (28.9% saved)

soundness3.7s (34.1%)

Rules
2602×fma-def
1766×fma-neg
1766×fma-neg
1594×fma-neg
1496×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021161
1455161
25233161
030229
1648193
27777193
017101
15267
216563
349063
483363
5134463
6182263
7213563
8261363
9358663
10557863
11753563
059840571
1131433553
2518933499
030229
1648193
27777193
059116947
1141215535
2592015455
059840571
1131433553
2518933499
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 324 to 198 computations (38.9% saved)

end0.0ms (0%)

preprocess116.0ms (1.1%)

Compiler

Compiled 94 to 64 computations (31.9% saved)

Profiling

Loading profile data...