x / (x^2 + 1)

Time bar (total: 1.6s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample736.0ms (44.7%)

Results
725.0ms8256×body256valid
Bogosity

preprocess15.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
2×1-exp
2×fma-def
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
11315
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify12.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
2×1-exp
2×fma-def
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
11315
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

eval0.0ms (0%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Accurracy
80.2%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.2%
(/.f64 x (+.f64 (*.f64 x x) 1))
▶80.2%
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize24.0ms (1.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓80.2%
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 19 to 9 computations (52.6% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 x (+.f64 (*.f64 x x) 1))
0.0ms
x
@0
(/.f64 x (+.f64 (*.f64 x x) 1))
0.0ms
x
@-inf
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite61.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
1552×pow1
1446×add-exp-log
1446×log1p-expm1-u
1446×expm1-log1p-u
1420×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
115115
2201615
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))

simplify62.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1888×fma-def
878×log-prod
626×log-div
450×unswap-sqr
420×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01151258
12951094
2929932
34028932
Stop Event
1×node limit
Counts
44 → 63
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))

eval17.0ms (1%)

Compiler

Compiled 765 to 527 computations (31.1% saved)

prune11.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464
Accurracy
100.0%
Counts
64 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓80.2%
(/.f64 x (+.f64 (*.f64 x x) 1))
▶46.5%
(/.f64 1 x)
▶55.6%
(-.f64 x (pow.f64 x 3))
55.7%
x
✓80.2%
(/.f64 x (+.f64 (*.f64 x x) 1))
▶46.5%
(/.f64 1 x)
▶55.6%
(-.f64 x (pow.f64 x 3))
55.7%
x
Compiler

Compiled 40 to 26 computations (35% saved)

localize33.0ms (2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 x (pow.f64 x 3))
0.0ms
x
@inf
(-.f64 x (pow.f64 x 3))
0.0ms
x
@0
(-.f64 x (pow.f64 x 3))

rewrite54.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
1360×pow1
1274×add-exp-log
1274×log1p-expm1-u
1274×expm1-log1p-u
1248×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113813
2174413
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 x (pow.f64 x 3))
Outputs
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2) (pow.f64 x 3)))
(+.f64 (neg.f64 (pow.f64 x 3)) x)
(*.f64 x (-.f64 1 (*.f64 x x)))
(*.f64 (-.f64 x (pow.f64 x 3)) 1)
(*.f64 1 (-.f64 x (pow.f64 x 3)))
(*.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))
(*.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))) (-.f64 (pow.f64 x 3) (pow.f64 x 9))))
(/.f64 1 (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))
(pow.f64 (-.f64 x (pow.f64 x 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))
(exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))
(fma.f64 1 x (neg.f64 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3)))

simplify62.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
910×fma-def
636×distribute-lft-neg-in
574×distribute-rgt-neg-in
428×times-frac
418×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105855
1271817
21006817
34713817
Stop Event
1×node limit
Counts
49 → 49
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2) (pow.f64 x 3)))
(+.f64 (neg.f64 (pow.f64 x 3)) x)
(*.f64 x (-.f64 1 (*.f64 x x)))
(*.f64 (-.f64 x (pow.f64 x 3)) 1)
(*.f64 1 (-.f64 x (pow.f64 x 3)))
(*.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))
(*.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))) (-.f64 (pow.f64 x 3) (pow.f64 x 9))))
(/.f64 1 (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))
(pow.f64 (-.f64 x (pow.f64 x 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))
(exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))
(fma.f64 1 x (neg.f64 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3)))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2) (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (neg.f64 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(*.f64 x (-.f64 1 (*.f64 x x)))
(-.f64 x (pow.f64 x 3))
(*.f64 (-.f64 x (pow.f64 x 3)) 1)
(-.f64 x (pow.f64 x 3))
(*.f64 1 (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(*.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))
(-.f64 x (pow.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(*.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(-.f64 x (pow.f64 x 3))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))) (-.f64 (pow.f64 x 3) (pow.f64 x 9))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 1 (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))
(-.f64 x (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (fma.f64 x x (-.f64 (pow.f64 x 6) (*.f64 x (neg.f64 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(pow.f64 (-.f64 x (pow.f64 x 3)) 1)
(-.f64 x (pow.f64 x 3))
(pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)
(-.f64 x (pow.f64 x 3))
(pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)
(-.f64 x (pow.f64 x 3))
(pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)
(-.f64 x (pow.f64 x 3))
(sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))
(-.f64 x (pow.f64 x 3))
(log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))
(-.f64 x (pow.f64 x 3))
(expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(fma.f64 1 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))

eval21.0ms (1.3%)

Compiler

Compiled 596 to 402 computations (32.6% saved)

prune8.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New48149
Fresh011
Picked112
Done011
Total49453
Accurracy
100.0%
Counts
53 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓80.2%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓46.5%
(/.f64 1 x)
▶55.6%
(*.f64 x (-.f64 1 (*.f64 x x)))
55.7%
x
✓80.2%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓46.5%
(/.f64 1 x)
▶55.6%
(*.f64 x (-.f64 1 (*.f64 x x)))
55.7%
x
Compiler

Compiled 44 to 28 computations (36.4% saved)

localize24.0ms (1.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 1 (*.f64 x x))
✓99.9%
(*.f64 x (-.f64 1 (*.f64 x x)))
Compiler

Compiled 19 to 9 computations (52.6% saved)

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 x (-.f64 1 (*.f64 x x)))
0.0ms
x
@0
(*.f64 x (-.f64 1 (*.f64 x x)))
0.0ms
x
@-inf
(*.f64 x (-.f64 1 (*.f64 x x)))
0.0ms
x
@inf
(-.f64 1 (*.f64 x x))
0.0ms
x
@0
(-.f64 1 (*.f64 x x))

rewrite56.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
1426×pow1
1326×add-exp-log
1324×log1p-expm1-u
1324×expm1-log1p-u
1300×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0732
114632
2184232
Stop Event
1×node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
Outputs
(+.f64 x (*.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (*.f64 (*.f64 x (neg.f64 x)) x))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1 (*.f64 x x)))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) x) (+.f64 1 (*.f64 x x)))
(pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))
(+.f64 1 (*.f64 x (neg.f64 x)))
(+.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))
(+.f64 (*.f64 x (neg.f64 x)) 1)
(*.f64 1 (-.f64 1 (*.f64 x x)))
(*.f64 (-.f64 1 (*.f64 x x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))

simplify66.0ms (4%)

Algorithm
1×egg-herbie
Rules
1144×div-sub
846×fma-def
800×fma-neg
796×log-prod
782×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141301
12761169
210311165
346431145
Stop Event
1×node limit
Counts
69 → 71
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 x (*.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (*.f64 (*.f64 x (neg.f64 x)) x))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1 (*.f64 x x)))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) x) (+.f64 1 (*.f64 x x)))
(pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))
(+.f64 1 (*.f64 x (neg.f64 x)))
(+.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))
(+.f64 (*.f64 x (neg.f64 x)) 1)
(*.f64 1 (-.f64 1 (*.f64 x x)))
(*.f64 (-.f64 1 (*.f64 x x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 x (*.f64 x (*.f64 x (neg.f64 x))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 x (*.f64 (*.f64 x (neg.f64 x)) x))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1 (*.f64 x x)))) 1)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) x))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 x (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 (+.f64 1 (*.f64 x x)) x))
(/.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 x (neg.f64 (pow.f64 x 5))) (fma.f64 x x 1))
(/.f64 (-.f64 x (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) x))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 x (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) x) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 (+.f64 1 (*.f64 x x)) x))
(/.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 x (neg.f64 (pow.f64 x 5))) (fma.f64 x x 1))
(/.f64 (-.f64 x (pow.f64 x 5)) (fma.f64 x x 1))
(pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 3)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3) 1/3)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 2)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 2))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 1 (*.f64 x (neg.f64 x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 (*.f64 x (neg.f64 x)) 1)
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 1 (-.f64 1 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 (-.f64 1 (*.f64 x x)) 1)
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(pow.f64 (-.f64 1 (*.f64 x x)) 1)
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))

eval16.0ms (1%)

Compiler

Compiled 798 to 474 computations (40.6% saved)

prune11.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh011
Picked011
Done022
Total71475
Accurracy
100.0%
Counts
75 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓80.2%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓46.5%
(/.f64 1 x)
✓55.6%
(*.f64 x (-.f64 1 (*.f64 x x)))
55.7%
x
✓80.2%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓46.5%
(/.f64 1 x)
✓55.6%
(*.f64 x (-.f64 1 (*.f64 x x)))
55.7%
x
Compiler

Compiled 44 to 28 computations (36.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accurracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓80.2%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓46.5%
(/.f64 1 x)
✓55.6%
(*.f64 x (-.f64 1 (*.f64 x x)))
55.7%
x
Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes23.0ms (1.4%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(/.f64 1 x)
(*.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 x (+.f64 (*.f64 x x) 1))
(-.f64 x (pow.f64 x 3))
Outputs
(/.f64 1 x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 1 x)
Calls

2 calls:

12.0ms
x
10.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
Results
AccuracySegmentsBranch
100.0%3x
99.9%3(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 19 computations (44.1% saved)

regimes19.0ms (1.1%)

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

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes9.0ms (0.6%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(/.f64 1 x)
Outputs
(/.f64 1 x)
x
(/.f64 1 x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
55.7%1x
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch8.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
6.0ms
0.15750060792082143
28230552435340910.0
2.0ms
-1.9285352529503927e+39
-1.3091368365999132e+31
Results
6.0ms80×body256valid
Compiler

Compiled 82 to 58 computations (29.3% saved)

bsearch32.0ms (1.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.15750060792082143
28230552435340910.0
14.0ms
-115.77284493374347
-0.00022966195658362336
Results
28.0ms304×body256valid
Compiler

Compiled 278 to 198 computations (28.8% saved)

bsearch30.0ms (1.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.15750060792082143
28230552435340910.0
14.0ms
-115.77284493374347
-0.00022966195658362336
Results
27.0ms304×body256valid
Compiler

Compiled 164 to 122 computations (25.6% saved)

simplify9.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
6×sub-neg
6×if-if-or-not
6×*-commutative
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030136
151136
257136
361136
463136
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -999999999999999939709166371603178586112) (/.f64 1 x) (if (<=.f64 x 100000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -7746191359077253/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7656119366529843/9007199254740992) (*.f64 x (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x
Outputs
(if (<=.f64 x -999999999999999939709166371603178586112) (/.f64 1 x) (if (<=.f64 x 100000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -999999999999999939709166371603178586112) (/.f64 1 x) (if (<=.f64 x 100000000) (/.f64 x (+.f64 1 (*.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -7746191359077253/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7656119366529843/9007199254740992) (*.f64 x (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x
Compiler

Compiled 62 to 42 computations (32.3% saved)

soundness156.0ms (9.5%)

Rules
1888×fma-def
1360×pow1
1274×add-exp-log
1274×log1p-expm1-u
1274×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151258
12951094
2929932
34028932
0613
113813
2174413
Stop Event
1×node limit
1×node limit
Compiler

Compiled 55 to 35 computations (36.4% saved)

end62.0ms (3.7%)

Compiler

Compiled 150 to 98 computations (34.7% saved)

Profiling

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