Rosa's Benchmark

Time bar (total: 10.6s)

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)

sample1.3s (12%)

Results
784.0ms5513×body256valid
472.0ms2743×body256infinite
Bogosity

preprocess152.0ms (1.4%)

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
Problems
256×No Errors
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 46 to 23 computations (50% 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)

localize101.0ms (0.9%)

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)

series8.0ms (0.1%)

Counts
11 → 108
Calls

33 calls:

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

rewrite226.0ms (2.1%)

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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simplify676.0ms (6.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
059740571
1131333553
2519733499
Stop Event
node limit
Counts
1033 → 424
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)
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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))
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(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 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 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)
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(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
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(+.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))
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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))
(*.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 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)
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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 -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)
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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 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 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x x) (*.f64 x 6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
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(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(fma.f64 x 238732414637843/250000000000000 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
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(fma.f64 x 238732414637843/250000000000000 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
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(fma.f64 x 238732414637843/250000000000000 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
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(fma.f64 x 238732414637843/250000000000000 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
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(fma.f64 x 238732414637843/250000000000000 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
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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))
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(fma.f64 x 238732414637843/250000000000000 (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
(fma.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
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(fma.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) x (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
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(fma.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) x (fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
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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 (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))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
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(fma.f64 (*.f64 x x) (*.f64 x 6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
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(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(log.f64 (*.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(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))))))
(fma.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)))))
(fma.f64 x 238732414637843/250000000000000 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (pow.f64 (exp.f64 238732414637843/250000000000000) x)))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log.f64 (*.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(fma.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)))))
(fma.f64 x 238732414637843/250000000000000 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
(log.f64 (*.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))))
(fma.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)))))
(fma.f64 x 238732414637843/250000000000000 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000)))
(log.f64 (/.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log.f64 (/.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 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))
(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))))
(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))

eval673.0ms (6.4%)

Compiler

Compiled 8735 to 6144 computations (29.7% saved)

prune217.0ms (2.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New4159424
Fresh000
Picked224
Done000
Total41711428
Accuracy
100.0%
Counts
428 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
55.0%
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
62.9%
(*.f64 x (/.f64 (fma.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (-.f64 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x))) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))))
73.6%
(*.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)))
49.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
53.1%
(*.f64 x 238732414637843/250000000000000)
49.0%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
55.0%
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
62.9%
(*.f64 x (/.f64 (fma.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (-.f64 (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x))) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))))
73.6%
(*.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)))
49.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
53.1%
(*.f64 x 238732414637843/250000000000000)
49.0%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Compiler

Compiled 490 to 324 computations (33.9% saved)

localize215.0ms (2%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 -6450306886639899/50000000000000000 x)
99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
99.8%
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))
66.0%
(/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000))
100.0%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
99.8%
(*.f64 238732414637843/250000000000000 x)
99.8%
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
100.0%
(-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))
99.9%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
99.8%
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)
99.8%
(*.f64 x 238732414637843/250000000000000)
99.9%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 162 to 84 computations (48.1% saved)

series9.0ms (0.1%)

Counts
12 → 132
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000))
1.0ms
x
@0
(/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000))
1.0ms
x
@inf
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))
0.0ms
x
@inf
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
0.0ms
x
@0
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x x)))

rewrite254.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
814×expm1-udef
576×add-sqr-sqrt
550×pow1
548×*-un-lft-identity
540×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028198
1631168
27782168
Stop Event
node limit
Counts
12 → 400
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 (*.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 (pow.f64 x 3) 6450306886639899/50000000000000000)
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(/.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)
Outputs
(-.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 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 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 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 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 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 (neg.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (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))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)
(pow.f64 x 4)
(pow.f64 (*.f64 x x) 2)
(pow.f64 (pow.f64 x 4) 1)
(pow.f64 (*.f64 x (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (pow.f64 x 4) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x x) 4))
(log.f64 (exp.f64 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))
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(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) 3)))
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(exp.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1))
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simplify252.0ms (2.4%)

Algorithm
egg-herbie
Rules
1208×fma-neg
732×log-prod
622×associate-*r*
530×associate-*l*
466×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052115690
1123913828
2546713622
Stop Event
node limit
Counts
532 → 327
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
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(sqrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))
Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(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)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(*.f64 238732414637843/250000000000000 x)
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(sqrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 238732414637843/250000000000000 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(*.f64 238732414637843/250000000000000 x)
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
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(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 (pow.f64 (cbrt.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)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) 2) (/.f64 (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))))
(*.f64 (/.f64 (pow.f64 (cbrt.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))))
(*.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(*.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(*.f64 (/.f64 (sqrt.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)) (/.f64 (sqrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(*.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(*.f64 (neg.f64 (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)))
(*.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))))
(neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -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))))
(neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (cbrt.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 3)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 3) 1/3)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (/.f64 1 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) -1)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -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))))
(neg.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(/.f64 (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(sqrt.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log.f64 (exp.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log.f64 (/.f64 1 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -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))))
(neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 3))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 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)))
(expm1.f64 (log1p.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (log.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (*.f64 (log.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) 1)
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(pow.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 2)
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(pow.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 1)
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) 3)
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(pow.f64 (*.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 4) 3)) 1/3)
(cbrt.f64 (*.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 4) 3)))
(cbrt.f64 (*.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 3) 4)))
(sqrt.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 4)))
(sqrt.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 41606458931834106848498498730201/2500000000000000000000000000000000) (pow.f64 x 4)))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(cbrt.f64 (*.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 4) 3)))
(cbrt.f64 (*.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 3) 4)))
(expm1.f64 (log1p.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) 1))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 (*.f64 x x) 2)
(pow.f64 x 4)
(pow.f64 (pow.f64 x 4) 1)
(pow.f64 x 4)
(pow.f64 (*.f64 x (cbrt.f64 x)) 3)
(pow.f64 x 4)
(pow.f64 (pow.f64 (pow.f64 x 4) 3) 1/3)
(pow.f64 x 4)
(sqrt.f64 (pow.f64 (*.f64 x x) 4))
(pow.f64 x 4)
(log.f64 (exp.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))
(pow.f64 x 4)
(cbrt.f64 (pow.f64 (pow.f64 x 4) 3))
(pow.f64 x 4)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) 3)))
(pow.f64 x 4)
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(exp.f64 (log.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 2))
(pow.f64 x 4)
(exp.f64 (*.f64 (log.f64 (pow.f64 x 4)) 1))
(pow.f64 x 4)
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)
(*.f64 x -6450306886639899/50000000000000000)
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1)
(*.f64 x -6450306886639899/50000000000000000)
(pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3)
(*.f64 x -6450306886639899/50000000000000000)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) 1/3)
(*.f64 x -6450306886639899/50000000000000000)
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
(*.f64 x -6450306886639899/50000000000000000)
(sqrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))
(sqrt.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))
(*.f64 x -6450306886639899/50000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 x -6450306886639899/50000000000000000)
(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))
(*.f64 x -6450306886639899/50000000000000000)
(expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x -6450306886639899/50000000000000000)
(exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x -6450306886639899/50000000000000000)
(exp.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1))
(*.f64 x -6450306886639899/50000000000000000)
(log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x -6450306886639899/50000000000000000)

eval151.0ms (1.4%)

Compiler

Compiled 6722 to 5021 computations (25.3% saved)

prune64.0ms (0.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New3755380
Fresh224
Picked325
Done112
Total38110391
Accuracy
100.0%
Counts
391 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
52.6%
(*.f64 x (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
73.6%
(*.f64 x (-.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) (/.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
49.0%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
49.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
53.1%
(*.f64 x 238732414637843/250000000000000)
49.0%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
29.8%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
52.6%
(*.f64 x (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
73.6%
(*.f64 x (-.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) (/.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
49.0%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
49.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
53.1%
(*.f64 x 238732414637843/250000000000000)
49.0%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
29.8%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 386 to 280 computations (27.5% saved)

localize135.0ms (1.3%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
59.4%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
99.8%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
99.9%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.9%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
99.8%
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
100.0%
(-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))
99.9%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
99.8%
(*.f64 x 6450306886639899/50000000000000000)
99.8%
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
Compiler

Compiled 90 to 51 computations (43.3% saved)

series8.0ms (0.1%)

Counts
11 → 120
Calls

33 calls:

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

rewrite243.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1804×log-prod
610×expm1-udef
600×log1p-udef
430×fma-def
426×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023177
1490149
25446141
Stop Event
node limit
Counts
11 → 294
Calls
Call 1
Inputs
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
Outputs
(+.f64 0 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 6450306886639899/50000000000000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 6450306886639899/50000000000000000))))) (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 0 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(pow.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(neg.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 6450306886639899/50000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 x) (*.f64 x 6450306886639899/50000000000000000))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
(log.f64 (/.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) (*.f64 x 6450306886639899/50000000000000000)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(+.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 0 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (fma.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000))
(/.f64 (*.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (fma.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000))
(/.f64 (*.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(pow.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000) (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)))
(log.f64 (*.f64 (pow.f64 (exp.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))) (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 x (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (*.f64 x 238732414637843/250000000000000) 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 1 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000) 1/2) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2) x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (pow.f64 1 1/2) (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 1/2) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))
(+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(+.f64 0 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(*.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(*.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
(*.f64 (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)))
(*.f64 (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 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(/.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000))
(/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 (neg.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (neg.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
(pow.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 x (neg.f64 (*.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
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(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 1))
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simplify291.0ms (2.7%)

Algorithm
egg-herbie
Rules
782×log-prod
720×times-frac
586×cancel-sign-sub-inv
520×associate-*r*
480×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04477394
19557012
234686650
Stop Event
node limit
Counts
414 → 287
Calls
Call 1
Inputs
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(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x 6450306886639899/50000000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 6450306886639899/50000000000000000) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 0 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x 6450306886639899/50000000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 6450306886639899/50000000000000000) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000) 1/2))
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))
(*.f64 (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2) x)
(*.f64 (pow.f64 1 1/2) (*.f64 x 238732414637843/250000000000000))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 1/2))
(pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 1/2)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(fabs.f64 (*.f64 x 238732414637843/250000000000000))
(log.f64 (pow.f64 (exp.f64 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 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(+.f64 0 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))) 1)
(pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 3)
(pow.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3) 1/3)
(sqrt.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
Outputs
(*.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))
(*.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))
(*.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 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)
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))) 1)
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 1)
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(pow.f64 (*.f64 x 238732414637843/250000000000000) 2)
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 3)
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(pow.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3) 1/3)
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(sqrt.f64 (*.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) 3))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) 1))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))))
(*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))

eval209.0ms (2%)

Compiler

Compiled 3819 to 2809 computations (26.4% saved)

prune101.0ms (1%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New3061307
Fresh022
Picked055
Done033
Total30611317
Accuracy
100.0%
Counts
317 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
52.6%
(*.f64 x (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
73.6%
(*.f64 x (-.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) (/.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
49.0%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
49.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
53.1%
(*.f64 x 238732414637843/250000000000000)
5.0%
(*.f64 x -238732414637843/250000000000000)
49.0%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
29.8%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
52.6%
(*.f64 x (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
73.6%
(*.f64 x (-.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) (/.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
49.0%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
49.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
53.1%
(*.f64 x 238732414637843/250000000000000)
5.0%
(*.f64 x -238732414637843/250000000000000)
49.0%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
29.8%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 228 to 164 computations (28.1% saved)

localize189.0ms (1.8%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 x 6450306886639899/50000000000000000)
99.8%
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
99.8%
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
70.1%
(/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
99.8%
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
99.8%
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
98.9%
(/.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
70.9%
(/.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
99.8%
(*.f64 x -238732414637843/250000000000000)
Compiler

Compiled 174 to 132 computations (24.1% saved)

series4.0ms (0%)

Counts
6 → 48
Calls

18 calls:

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

rewrite235.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
956×prod-diff
690×expm1-udef
678×log1p-udef
668×fma-def
404×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019138
1424122
25451122
Stop Event
node limit
Counts
6 → 143
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(/.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(/.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -238732414637843/250000000000000))) 1)
(pow.f64 (*.f64 x -238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x -238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x -238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) -238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x -238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x -238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x -238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -238732414637843/250000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 x 4)))) 1)
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 1 (/.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) (pow.f64 x 4))))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (pow.f64 x 4) (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (pow.f64 x 4) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (*.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 x 4)) 1)
(*.f64 1 (*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 x 4)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 x 4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 x 4))) 2) (cbrt.f64 (*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8))) (*.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)) (/.f64 (pow.f64 x 4) (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/.f64 (pow.f64 x 4) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (pow.f64 x 4) 1) (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 x 4))
(*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)) (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (cbrt.f64 (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 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (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 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8))) 1) (/.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)) (cbrt.f64 (*.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 x 4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8))) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 1) (/.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (/.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)) (/.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (fma.f64 (pow.f64 (*.f64 x x) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (fma.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) -238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000))
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(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 41606458931834106848498498730201/2500000000000000000000000000000000)) 1))
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simplify159.0ms (1.5%)

Algorithm
egg-herbie
Rules
1942×fma-def
1716×times-frac
714×log-prod
382×associate-*l*
378×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03715565
19195503
234565465
Stop Event
node limit
Counts
191 → 236
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)
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238732414637843/250000000000000
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(*.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(pow.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) -1)
(neg.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (neg.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (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 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 4) 3)) 1/3)
(sqrt.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 41606458931834106848498498730201/2500000000000000000000000000000000) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 4) 3)))
(expm1.f64 (log1p.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 41606458931834106848498498730201/2500000000000000000000000000000000)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 41606458931834106848498498730201/2500000000000000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))
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 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4))
(+.f64 (*.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6)) (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4)))
(fma.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6) (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4)))
(fma.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4) (*.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6)))
(+.f64 (*.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow.f64 x 8)) (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4))))
(fma.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6) (fma.f64 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow.f64 x 8) (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4))))
(fma.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6) (fma.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4) (*.f64 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow.f64 x 8))))
(fma.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4) (fma.f64 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow.f64 x 8) (*.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6))))
(+.f64 (*.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 -11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow.f64 x 10)) (+.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow.f64 x 8)) (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4)))))
(fma.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6) (fma.f64 -11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow.f64 x 10) (fma.f64 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow.f64 x 8) (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4)))))
(fma.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6) (fma.f64 -11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow.f64 x 10) (fma.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4) (*.f64 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow.f64 x 8)))))
(fma.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6) (fma.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4) (fma.f64 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow.f64 x 8) (*.f64 -11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow.f64 x 10)))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(-.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) -238732414637843/250000000000000)
(-.f64 (+.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 (pow.f64 x 2)))) 238732414637843/250000000000000)
(+.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x))) -238732414637843/250000000000000)
(+.f64 -238732414637843/250000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x))))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) -238732414637843/250000000000000))
(-.f64 (+.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 238732414637843/250000000000000 (*.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x))) (+.f64 238732414637843/250000000000000 (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) (-.f64 (+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x)) (/.f64 -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 4))) 238732414637843/250000000000000))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) (+.f64 -238732414637843/250000000000000 (/.f64 -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 4)))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x 6450306886639899/50000000000000000))
(-.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) -238732414637843/250000000000000)
(-.f64 (+.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 (pow.f64 x 2)))) 238732414637843/250000000000000)
(+.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x))) -238732414637843/250000000000000)
(+.f64 -238732414637843/250000000000000 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x))))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) -238732414637843/250000000000000))
(-.f64 (+.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 238732414637843/250000000000000 (*.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x))) (+.f64 238732414637843/250000000000000 (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) (-.f64 (+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x)) (/.f64 -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 4))) 238732414637843/250000000000000))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) (+.f64 -238732414637843/250000000000000 (/.f64 -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 4)))))
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4))))
(+.f64 238732414637843/250000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4))))
(+.f64 (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4)) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) (fma.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4) 238732414637843/250000000000000))
(+.f64 238732414637843/250000000000000 (+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6)) (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4)))))
(+.f64 238732414637843/250000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) (fma.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6) (*.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4)))))
(+.f64 (fma.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4) (*.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6))) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 238732414637843/250000000000000 (fma.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 4) (fma.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 6) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(/.f64 56993165798814994692847692649/8062883608299873750000000000 (pow.f64 x 2))
(/.f64 56993165798814994692847692649/8062883608299873750000000000 (*.f64 x x))
(-.f64 (*.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 4))))
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(/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(/.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 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(/.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) 1)
(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
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(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
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(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
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(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
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(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 41606458931834106848498498730201/2500000000000000000000000000000000)) 1))
(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
(log1p.f64 (expm1.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)

eval688.0ms (6.5%)

Compiler

Compiled 12465 to 9569 computations (23.2% saved)

prune260.0ms (2.5%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New4782480
Fresh000
Picked213
Done178
Total48110491
Accuracy
100.0%
Counts
491 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
98.5%
(*.f64 x (-.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
73.3%
(*.f64 x (-.f64 238732414637843/250000000000000 (/.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
49.0%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
49.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
53.1%
(*.f64 x 238732414637843/250000000000000)
5.0%
(*.f64 x -238732414637843/250000000000000)
49.0%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Compiler

Compiled 339 to 222 computations (34.5% saved)

regimes91.0ms (0.9%)

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

2 calls:

67.0ms
x
14.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 254 to 161 computations (36.6% saved)

regimes54.0ms (0.5%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (-.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(*.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 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
Outputs
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
Calls

2 calls:

25.0ms
x
20.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 117 to 74 computations (36.8% saved)

regimes42.0ms (0.4%)

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

1 calls:

39.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes27.0ms (0.3%)

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

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
53.1%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes12.0ms (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:

11.0ms
x
Results
AccuracySegmentsBranch
5.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch74.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
1.5222340225735901e-6
275382.5598275288
33.0ms
-73.28165458361941
-0.00019914992732199773
Results
64.0ms304×body256valid
Compiler

Compiled 282 to 201 computations (28.7% saved)

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028117
147117
259117
370117
476117
579117
680117
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x -238732414637843/250000000000000)
Outputs
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (or (<=.f64 x -3039929748475085/1125899906842624) (not (<=.f64 x 3039929748475085/1125899906842624))) (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x -238732414637843/250000000000000)
Compiler

Compiled 49 to 34 computations (30.6% saved)

soundness3.4s (32.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
017101
15267
216563
349063
483363
5134463
6182263
7213563
8261363
9358663
10557863
11753563
021161
1455161
25233161
059740571
1131333553
2519733499
028198
1631168
27782168
04477394
19557012
234686650
059740571
1131333553
2519733499
021161
1455161
25233161
052115690
1123913828
2546713622
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 426 to 260 computations (39% saved)

end0.0ms (0%)

preprocess53.0ms (0.5%)

Compiler

Compiled 114 to 74 computations (35.1% saved)

Profiling

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