Rosa's Benchmark

Time bar (total: 10.7s)

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)

sample1.1s (10.2%)

Results
688.0ms5497×body256valid
399.0ms2759×body256infinite
Bogosity

preprocess181.0ms (1.7%)

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

Useful iterations: 2 (0.0ms)

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

Compiled 12 to 8 computations (33.3% saved)

eval1.0ms (0%)

Compiler

Compiled 44 to 29 computations (34.1% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
99.7%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.7%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
99.7%
(*.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)))
99.7%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.7%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
99.7%
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
Compiler

Compiled 78 to 54 computations (30.8% saved)

localize121.0ms (1.1%)

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

Compiled 94 to 52 computations (44.7% saved)

series8.0ms (0.1%)

Counts
11 → 108
Calls

33 calls:

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

rewrite375.0ms (3.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021161
1455161
25232161
Stop Event
node limit
Counts
11 → 925
Calls
Call 1
Inputs
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x -6450306886639899/50000000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
Outputs
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(+.f64 (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 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1))
(+.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (+.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))) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 0 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (*.f64 x 238732414637843/250000000000000) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (/.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
(/.f64 1 (/.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2)))
(/.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(/.f64 (-.f64 (*.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 -6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(/.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 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2)) (neg.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2) (-.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 (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 (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 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2) (*.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 (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)))))
(pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.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 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 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) (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 x) 238732414637843/250000000000000)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000) (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 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)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (pow.f64 (exp.f64 x) 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)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
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(*.f64 (*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
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(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2) (-.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 (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 (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 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2) (*.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 (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)))))
(pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3) 1/3)
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(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
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(log.f64 (*.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
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simplify1.2s (10.9%)

Algorithm
egg-herbie
Rules
1756×fma-neg
736×log-prod
550×associate-*r*
508×associate-*l*
482×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059740665
1129833531
2480233437
Stop Event
node limit
Counts
1033 → 434
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(*.f64 -6450306886639899/50000000000000000 x)
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238732414637843/250000000000000
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(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
238732414637843/250000000000000
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(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.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)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000)) (pow.f64 (exp.f64 x) 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)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(log.f64 (/.f64 (pow.f64 (exp.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 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 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 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 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(hypot.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
238732414637843/250000000000000
(+.f64 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)
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 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (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)
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(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
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(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
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(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
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(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(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 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
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(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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 238732414637843/250000000000000 x))
(*.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)) (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))
(fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(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 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(log.f64 (*.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 238732414637843/250000000000000 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (*.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 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(fma.f64 238732414637843/250000000000000 x (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/25000000000000000))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000) (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.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 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.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))))))
(fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))) (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(hypot.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(hypot.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

eval868.0ms (8.1%)

Compiler

Compiled 8980 to 6700 computations (25.4% saved)

prune110.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4259434
Fresh000
Picked314
Done000
Total42810438
Accuracy
100.0%
Counts
438 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.7%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
55.1%
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
58.5%
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)))))
72.2%
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
51.6%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.6%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
49.1%
(*.f64 x 238732414637843/250000000000000)
51.6%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
99.7%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.7%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
55.1%
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
58.5%
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)))))
72.2%
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
51.6%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.6%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
49.1%
(*.f64 x 238732414637843/250000000000000)
51.6%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Compiler

Compiled 488 to 320 computations (34.4% saved)

localize273.0ms (2.6%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
99.8%
(*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
99.1%
(*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)
62.0%
(/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
99.8%
(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)
99.9%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.7%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.8%
(*.f64 x 238732414637843/250000000000000)
100.0%
(-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
99.3%
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)
Compiler

Compiled 156 to 88 computations (43.6% saved)

series48.0ms (0.4%)

Counts
12 → 144
Calls

36 calls:

TimeVariablePointExpression
40.0ms
x
@0
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
2.0ms
x
@inf
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
1.0ms
x
@inf
(/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
0.0ms
x
@0
(/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
0.0ms
x
@-inf
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))

rewrite226.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
784×expm1-udef
772×log1p-udef
554×add-sqr-sqrt
530×pow1
530×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026192
1562186
27458186
Stop Event
node limit
Counts
12 → 340
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)
(*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
Outputs
(-.f64 0 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 1)
(pow.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) 3)
(pow.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2)
(pow.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) 1)
(neg.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(fabs.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (*.f64 x x))))
(cbrt.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 6450306886639899/50000000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))) 1)
(/.f64 x (/.f64 1 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000) (*.f64 x (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))))
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(expm1.f64 (log1p.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
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(fma.f64 (*.f64 x x) (*.f64 x 6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
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(fma.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) x (*.f64 x 238732414637843/250000000000000))

simplify453.0ms (4.2%)

Algorithm
egg-herbie
Rules
984×log-prod
644×associate-*r*
622×fma-neg
598×associate-*l*
456×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044210930
110719980
248669940
Stop Event
node limit
Counts
484 → 271
Calls
Call 1
Inputs
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(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) 2)) (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))) (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) 2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) 2)) (cbrt.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) 1) (/.f64 (sqrt.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) 2)) (/.f64 (sqrt.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 2)
(pow.f64 (/.f64 1 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) -1)
(neg.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))
(neg.f64 (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(sqrt.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) 2))
(log.f64 (exp.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
(log.f64 (/.f64 1 (exp.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) 3) (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000) 3)))
(expm1.f64 (log1p.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 1))
(log1p.f64 (expm1.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))) 1)
(pow.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 41606458931834106848498498730201/2500000000000000000000000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))
(exp.f64 (log.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) 1)
(pow.f64 (*.f64 x 6450306886639899/50000000000000000) 2)
(pow.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))) 1)
(/.f64 x (/.f64 1 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000) (*.f64 x (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))))
(/.f64 (*.f64 x (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))
(/.f64 (neg.f64 (*.f64 x (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2) (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))
(/.f64 (*.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)))) (+.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) x) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3))) x) (+.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 x (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) 1) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))
(/.f64 (/.f64 (*.f64 x (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(/.f64 (/.f64 (*.f64 x (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
(fma.f64 x (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x x) (*.f64 x 6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 (*.f64 x 6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) x (*.f64 x 238732414637843/250000000000000))
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 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
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(/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (*.f64 (*.f64 x x) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x -238732414637843/250000000000000)))
(/.f64 (*.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(/.f64 x (/.f64 (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)))) (+.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))
(/.f64 x (/.f64 (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000)) (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))) (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)))
(/.f64 (*.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) x) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(/.f64 x (/.f64 (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3))) x) (+.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))
(/.f64 x (/.f64 (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000)) (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))) (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)))
(/.f64 (/.f64 (*.f64 x (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) 1) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))
(/.f64 1 (/.f64 (/.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000) x) (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) -56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)))
(*.f64 x (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (/.f64 (*.f64 x (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(/.f64 1 (/.f64 (/.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000) x) (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) -56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)))
(*.f64 x (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (/.f64 (*.f64 x (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(/.f64 1 (/.f64 (/.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000) x) (+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) -56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 x (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)))
(*.f64 x (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 1)
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))) 3)
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 3) 1/3)
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))) 2)
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 2))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))) 3))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) 3)))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) 3) (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(exp.f64 (log.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))) 1))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 x (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (*.f64 x x) (*.f64 x 6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 (*.f64 x 6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) x (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))

eval432.0ms (4%)

Compiler

Compiled 7214 to 4903 computations (32% saved)

prune71.0ms (0.7%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New4315436
Fresh224
Picked235
Done011
Total43511446
Accuracy
100.0%
Counts
446 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.7%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
49.2%
(*.f64 x (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x))))
29.9%
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)))
51.6%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.6%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
71.8%
(*.f64 x (neg.f64 (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
49.1%
(*.f64 x 238732414637843/250000000000000)
51.6%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
29.1%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
99.7%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.7%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
49.2%
(*.f64 x (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x))))
29.9%
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)))
51.6%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.6%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
71.8%
(*.f64 x (neg.f64 (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
49.1%
(*.f64 x 238732414637843/250000000000000)
51.6%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
29.1%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 386 to 282 computations (26.9% saved)

localize173.0ms (1.6%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 x (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
99.7%
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
99.3%
(*.f64 (*.f64 x x) 6450306886639899/50000000000000000)
66.5%
(/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
99.7%
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
62.0%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
99.8%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
99.9%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
99.3%
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
100.0%
(-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x)))
99.8%
(*.f64 6450306886639899/50000000000000000 x)
99.8%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x))))
99.7%
(*.f64 x (*.f64 6450306886639899/50000000000000000 x))
Compiler

Compiled 141 to 87 computations (38.3% saved)

series6.0ms (0.1%)

Counts
12 → 108
Calls

36 calls:

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

rewrite155.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
578×add-sqr-sqrt
560×pow1
556×*-un-lft-identity
548×add-exp-log
548×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029202
1648164
Stop Event
node limit
Counts
12 → 308
Calls
Call 1
Inputs
(*.f64 x (*.f64 6450306886639899/50000000000000000 x))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(*.f64 6450306886639899/50000000000000000 x)
(-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 x (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
Outputs
(-.f64 0 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)
(pow.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)
(neg.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(fabs.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(log.f64 (exp.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(log.f64 (/.f64 1 (exp.f64 (*.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 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))))
(/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 (neg.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))) (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))) (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) x) (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) 1) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(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)))))
(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))))
(-.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 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (*.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 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 (pow.f64 (cbrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 (sqrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (/.f64 1 (-.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)) (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (/.f64 (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)) (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 (/.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 (/.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 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (+.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (-.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (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) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))
(/.f64 1 (/.f64 (-.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))) (+.f64 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))) (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
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simplify285.0ms (2.7%)

Algorithm
egg-herbie
Rules
994×log-prod
696×div-sub
478×associate-*r*
462×associate-*l*
448×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04819300
111488910
248668902
Stop Event
node limit
Counts
416 → 305
Calls
Call 1
Inputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 238732414637843/250000000000000 x)
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(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000) (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))))
(/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 (neg.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))) (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(/.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000))) (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(/.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) x) (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) 1) (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(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)))))
(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))))
Outputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.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 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.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 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) (*.f64 41606458931834106848498498730201/1193662073189215000000000000000000 (pow.f64 x 4))))
(+.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (*.f64 41606458931834106848498498730201/1193662073189215000000000000000000 (pow.f64 x 4)))
(+.f64 238732414637843/250000000000000 (fma.f64 41606458931834106848498498730201/1193662073189215000000000000000000 (pow.f64 x 4) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(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 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))

eval227.0ms (2.1%)

Compiler

Compiled 4946 to 3721 computations (24.8% saved)

prune66.0ms (0.6%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New3262328
Fresh112
Picked145
Done044
Total32811339
Accuracy
100.0%
Counts
339 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.7%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
72.1%
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x))))
29.9%
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)))
51.6%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.6%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
49.1%
(*.f64 x 238732414637843/250000000000000)
4.8%
(*.f64 x -238732414637843/250000000000000)
51.6%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
29.1%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
99.7%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.7%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
72.1%
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x))))
29.9%
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)))
51.6%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.6%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
49.1%
(*.f64 x 238732414637843/250000000000000)
4.8%
(*.f64 x -238732414637843/250000000000000)
51.6%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
29.1%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 198 to 140 computations (29.3% saved)

localize155.0ms (1.4%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.8%
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
78.3%
(/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
99.9%
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)))
99.9%
(sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))
99.8%
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))
99.5%
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
99.9%
(*.f64 x -238732414637843/250000000000000)
Compiler

Compiled 109 to 82 computations (24.8% saved)

series9.0ms (0.1%)

Counts
8 → 72
Calls

24 calls:

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

rewrite244.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
970×fma-def
768×expm1-udef
754×log1p-udef
550×prod-diff
462×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024146
1531100
26040100
Stop Event
node limit
Counts
8 → 314
Calls
Call 1
Inputs
(*.f64 x -238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))
(sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)))
(/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
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 x -6450306886639899/50000000000000000))) 1)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 x (pow.f64 (sqrt.f64 -6450306886639899/50000000000000000) 2))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 (*.f64 x -6450306886639899/50000000000000000) 1)
(*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 1 (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -6450306886639899/50000000000000000))
(*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))
(*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) (*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -6450306886639899/50000000000000000))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (sqrt.f64 -6450306886639899/50000000000000000))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4)) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 -6450306886639899/50000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (cbrt.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)))
(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 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))) 1)
(pow.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 1/2)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(fabs.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))) 1)
(*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 1)
(*.f64 1 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (cbrt.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4))
(*.f64 (sqrt.f64 x) (sqrt.f64 -6450306886639899/50000000000000000))
(*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 1/2))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(+.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))) (sqrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(+.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (neg.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
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simplify345.0ms (3.2%)

Algorithm
egg-herbie
Rules
918×log-prod
590×fma-neg
588×associate-*r*
556×associate-*l*
448×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066524278
1154519592
2495919488
Stop Event
node limit
Counts
386 → 471
Calls
Call 1
Inputs
(*.f64 -238732414637843/250000000000000 x)
(*.f64 -238732414637843/250000000000000 x)
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(fma.f64 (/.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1) (/.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) (neg.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
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(fma.f64 (/.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (/.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (neg.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.f64 x) 238732414637843/250000000000000)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))) 1)
(pow.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 1/2)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(fabs.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) 1)
(/.f64 x (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000))))
(/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
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(/.f64 (*.f64 x (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000))) (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (*.f64 (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) x) (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) 1) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 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)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
Outputs
(*.f64 -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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(/.f64 (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (/.f64 (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) x))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (*.f64 (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) x) (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (/.f64 (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) x))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (neg.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) 1) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) x)
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) x)
(/.f64 (/.f64 (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) (*.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 (/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) x)
(pow.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))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(pow.f64 (cbrt.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))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

eval424.0ms (4%)

Compiler

Compiled 19055 to 14276 computations (25.1% saved)

prune84.0ms (0.8%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New4841485
Fresh000
Picked123
Done088
Total48511496
Accuracy
100.0%
Counts
496 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
29.9%
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)
99.7%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
72.1%
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.7%
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x))))
51.6%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.6%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
49.1%
(*.f64 x 238732414637843/250000000000000)
4.8%
(*.f64 x -238732414637843/250000000000000)
51.6%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
29.1%
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
Compiler

Compiled 328 to 214 computations (34.8% saved)

regimes29.0ms (0.3%)

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 6450306886639899/50000000000000000 x))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.f64 x (neg.f64 (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)))
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)))))
Outputs
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
Calls

2 calls:

14.0ms
x
9.0ms
(-.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 245 to 154 computations (37.1% saved)

regimes25.0ms (0.2%)

Counts
18 → 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 6450306886639899/50000000000000000 x))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000))))
(*.f64 x (/.f64 (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.f64 x (neg.f64 (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))))
(*.f64 x (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Calls

2 calls:

13.0ms
x
8.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 195 to 122 computations (37.4% saved)

regimes7.0ms (0.1%)

Counts
6 → 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 6450306886639899/50000000000000000 x))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
Outputs
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 41 to 25 computations (39% saved)

regimes16.0ms (0.1%)

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

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
98.2%3x
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes11.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
98.2%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes10.0ms (0.1%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
50.8%2x
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
4.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.03754971117384298
391623400777915700.0
10.0ms
-9.507120605175093
-2.330704871356097
Results
23.0ms256×body256valid
Compiler

Compiled 240 to 171 computations (28.8% saved)

bsearch40.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
0.03754971117384298
391623400777915700.0
10.0ms
-9.507120605175093
-2.330704871356097
Results
37.0ms256×body256valid
Compiler

Compiled 240 to 171 computations (28.8% saved)

bsearch10.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-9.507120605175093
-2.330704871356097
Results
9.0ms96×body256valid
Compiler

Compiled 76 to 59 computations (22.4% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
40×*-commutative
18×distribute-lft-neg-in
18×sub-neg
18×+-commutative
18×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039221
170221
292221
3113221
4125221
5129221
6130221
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(if (<=.f64 x -11/4) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -11/4) (*.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 (<=.f64 x -11/4) (*.f64 x -238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x -238732414637843/250000000000000)
Outputs
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.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))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(if (<=.f64 x -11/4) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -11/4) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 238732414637843/250000000000000 x) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -11/4) (*.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 -11/4) (not (<=.f64 x 3039929748475085/1125899906842624))) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (*.f64 238732414637843/250000000000000 x))
(if (<=.f64 x -11/4) (*.f64 x -238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000))
(if (<=.f64 x -11/4) (*.f64 x -238732414637843/250000000000000) (*.f64 238732414637843/250000000000000 x))
(*.f64 x -238732414637843/250000000000000)
Compiler

Compiled 92 to 64 computations (30.4% saved)

soundness2.8s (26.5%)

Rules
2602×fma-def
2602×fma-def
1756×fma-neg
1756×fma-neg
1496×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017101
15267
216563
349063
483363
5134463
6182263
7213563
8261363
9358663
10557863
11753563
017101
15267
216563
349063
483363
5134463
6182263
7213563
8261363
9358663
10557863
11753563
026192
1562186
27458186
04819300
111488910
248668902
059740665
1129833531
2480233437
059740665
1129833531
2480233437
021161
1455161
25232161
044210930
110719980
248669940
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 387 to 234 computations (39.5% saved)

end0.0ms (0%)

preprocess64.0ms (0.6%)

Compiler

Compiled 196 to 128 computations (34.7% saved)

Profiling

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