Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Time bar (total: 1.8s)

analyze1.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample906.0ms (51.3%)

Results
894.0ms8256×body256valid
Bogosity

preprocess52.0ms (2.9%)

Algorithm
egg-herbie
Rules
1018×fma-def
302×div-sub
166×times-frac
156×associate-/r*
112×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01047
12043
23843
39443
426339
580139
6134839
7151339
8180339
9182039
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x)))
Outputs
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x)))
(/.f64 (neg.f64 x) (+.f64 x 1))
(/.f64 x (-.f64 -1 x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 1 x))
100.0%
(/.f64 x (-.f64 1 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize22.0ms (1.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 x (-.f64 1 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1412×pow1
1314×add-exp-log
1314×log1p-expm1-u
1314×expm1-log1p-u
1290×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112813
2171613
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
Outputs
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))

simplify54.0ms (3%)

Algorithm
egg-herbie
Rules
2052×fma-def
722×log-prod
530×log-div
384×associate-/l*
362×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01101134
1287924
2919732
33846732
Stop Event
node limit
Counts
44 → 61
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) x)
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 x (/.f64 1 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 x (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))

eval23.0ms (1.3%)

Compiler

Compiled 619 to 412 computations (33.4% saved)

prune10.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58361
Fresh000
Picked011
Done000
Total58462
Accuracy
100.0%
Counts
62 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 1 x))
70.7%
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
49.3%
x
51.0%
-1
100.0%
(/.f64 x (-.f64 1 x))
70.7%
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
49.3%
x
51.0%
-1
Compiler

Compiled 44 to 30 computations (31.8% saved)

localize36.0ms (2.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
72.0%
(/.f64 x (-.f64 1 (*.f64 x x)))
Compiler

Compiled 33 to 17 computations (48.5% 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 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
0.0ms
x
@0
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))

rewrite79.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
1354×prod-diff
1030×log-prod
744×pow-prod-down
624×fma-def
456×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0950
120732
2308032
Stop Event
node limit
Counts
2 → 142
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
Outputs
(+.f64 0 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) 1))
(*.f64 1 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2)
(pow.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x) -1)
(pow.f64 (/.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x) 1) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (neg.f64 x) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(+.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(/.f64 x (-.f64 1 x))
(/.f64 1 (/.f64 (fma.f64 x (neg.f64 x) 1) (fma.f64 x x x)))
(/.f64 (+.f64 x 1) (/.f64 (fma.f64 x (neg.f64 x) 1) x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x -1) (*.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x) (+.f64 x -1)))
(/.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) 1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x (neg.f64 x) 1) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (*.f64 (fma.f64 x (neg.f64 x) 1) (+.f64 x -1)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (fma.f64 x (neg.f64 x) 1)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 x x -1)) (*.f64 (neg.f64 (fma.f64 x (neg.f64 x) 1)) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (*.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 x (neg.f64 x) 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 (fma.f64 x (neg.f64 x) 1) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (*.f64 (fma.f64 x x -1) x) (*.f64 (+.f64 x -1) (fma.f64 x (neg.f64 x) 1)))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (/.f64 (fma.f64 x (neg.f64 x) 1) x)))
(/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (*.f64 (+.f64 x -1) (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 3) (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 3)) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 2) (-.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 2) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 2) (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 2)) (-.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (neg.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 x 1)) (neg.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 x (fma.f64 x (neg.f64 x) 1))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 x (fma.f64 x (neg.f64 x) 1))) (+.f64 x -1))
(/.f64 (/.f64 (fma.f64 x x x) 1) (fma.f64 x (neg.f64 x) 1))
(/.f64 (/.f64 (fma.f64 x x x) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (/.f64 (fma.f64 x x x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(pow.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) (fma.f64 x x x)) -1)
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1))) (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(fma.f64 x (/.f64 x (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 x (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 x (*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 1 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 x x) (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) x (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 1 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) x) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) x) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) x (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 1 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 1/2) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 1/2) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2)) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))

simplify93.0ms (5.3%)

Algorithm
egg-herbie
Rules
940×unswap-sqr
596×cancel-sign-sub-inv
410×fma-neg
382×associate-*r*
356×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03556220
19065176
233974920
Stop Event
node limit
Counts
166 → 217
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 3) x)
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 0 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) 1))
(*.f64 1 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2)
(pow.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x) -1)
(pow.f64 (/.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x) 1) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (neg.f64 x) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(+.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(/.f64 x (-.f64 1 x))
(/.f64 1 (/.f64 (fma.f64 x (neg.f64 x) 1) (fma.f64 x x x)))
(/.f64 (+.f64 x 1) (/.f64 (fma.f64 x (neg.f64 x) 1) x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x -1) (*.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x) (+.f64 x -1)))
(/.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) 1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x (neg.f64 x) 1) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (*.f64 (fma.f64 x (neg.f64 x) 1) (+.f64 x -1)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (fma.f64 x (neg.f64 x) 1)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 x x -1)) (*.f64 (neg.f64 (fma.f64 x (neg.f64 x) 1)) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (*.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 x (neg.f64 x) 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 (fma.f64 x (neg.f64 x) 1) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (*.f64 (fma.f64 x x -1) x) (*.f64 (+.f64 x -1) (fma.f64 x (neg.f64 x) 1)))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (/.f64 (fma.f64 x (neg.f64 x) 1) x)))
(/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (*.f64 (+.f64 x -1) (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 3) (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 3)) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 2) (-.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 2) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 2) (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 2)) (-.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (neg.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 x 1)) (neg.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 x (fma.f64 x (neg.f64 x) 1))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 x (fma.f64 x (neg.f64 x) 1))) (+.f64 x -1))
(/.f64 (/.f64 (fma.f64 x x x) 1) (fma.f64 x (neg.f64 x) 1))
(/.f64 (/.f64 (fma.f64 x x x) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (/.f64 (fma.f64 x x x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(pow.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) (fma.f64 x x x)) -1)
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1))) (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(fma.f64 x (/.f64 x (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 x (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 x (*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 1 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 x x) (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) x (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 1 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) x) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) x) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) x (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 1 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 1/2) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)) 1/2) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2)) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
Outputs
x
(+.f64 (pow.f64 x 3) x)
(+.f64 x (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 (pow.f64 x 5) (pow.f64 x 3)) x)
(+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x)))
(+.f64 (pow.f64 x 5) (+.f64 (+.f64 (pow.f64 x 7) (pow.f64 x 3)) x))
(+.f64 (pow.f64 x 5) (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 7))))
(+.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 7)) (+.f64 x (pow.f64 x 5)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 5)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 7)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 5)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 7)))
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (fma.f64 x x (pow.f64 x 4)) (+.f64 x (pow.f64 x 3)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 -1 (/.f64 (/.f64 -1 x) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 -1 (/.f64 (/.f64 -1 x) x)))
(+.f64 0 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))) 1)
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 x (/.f64 1 (fma.f64 x (neg.f64 x) 1)))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 x (*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) 1))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 1 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 1)
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 1))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x (neg.f64 x) 1)))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x (neg.f64 x) 1)))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(*.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 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 1)
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 3)
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 2) 1/2)
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 3) 1/3)
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))) 2)
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(pow.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x) -1)
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(pow.f64 (/.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) x) 1) -1)
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) 2))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)))))
(/.f64 x (fma.f64 x (neg.f64 x) 1))
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(*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (+.f64 x 1))
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x -1))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(+.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (+.f64 x 1))
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x -1))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(+.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (+.f64 x 1))
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x -1))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (*.f64 x (/.f64 (neg.f64 x) (fma.f64 x x -1))))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (/.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (*.f64 x (/.f64 (neg.f64 x) (fma.f64 x x -1))))

eval79.0ms (4.5%)

Compiler

Compiled 3935 to 2310 computations (41.3% saved)

prune28.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2161217
Fresh022
Picked101
Done011
Total2174221
Accuracy
100.0%
Counts
221 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 1 x))
49.1%
(*.f64 x (+.f64 x 1))
49.3%
x
51.0%
-1
100.0%
(/.f64 x (-.f64 1 x))
49.1%
(*.f64 x (+.f64 x 1))
49.3%
x
51.0%
-1
Compiler

Compiled 32 to 22 computations (31.3% saved)

localize20.0ms (1.1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (+.f64 x 1))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1220×pow1
1132×log1p-expm1-u
1132×expm1-log1p-u
1130×add-exp-log
1110×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11259
215749
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 x (+.f64 x 1))
Outputs
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 (*.f64 (*.f64 x x) 1) x)
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x x) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))
(pow.f64 (fma.f64 x x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(log.f64 (exp.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(exp.f64 (log.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)

simplify46.0ms (2.6%)

Algorithm
egg-herbie
Rules
980×log-prod
734×associate-*r*
704×associate-*l*
564×associate-/l*
446×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062403
1150379
2531375
33041375
Stop Event
node limit
Counts
33 → 32
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 (*.f64 (*.f64 x x) 1) x)
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x x) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))
(pow.f64 (fma.f64 x x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(log.f64 (exp.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(exp.f64 (log.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (*.f64 x x) x)
(fma.f64 x x x)
(+.f64 (*.f64 (*.f64 x x) 1) x)
(fma.f64 x x x)
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(fma.f64 x x x)
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (*.f64 (*.f64 x x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 (*.f64 x x) (-.f64 1 x) (pow.f64 x 4)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x x) x))
(fma.f64 x x x)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 x (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 x (pow.f64 x 4)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(fma.f64 x x x)
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 x)))
(/.f64 x (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 x (pow.f64 x 4)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))
(fma.f64 x x x)
(pow.f64 (fma.f64 x x x) 1)
(fma.f64 x x x)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(fma.f64 x x x)
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)
(fma.f64 x x x)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(fma.f64 x x x)
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(fma.f64 x x x)
(log.f64 (exp.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3))
(fma.f64 x x x)
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(exp.f64 (log.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 x x x)

eval6.0ms (0.4%)

Compiler

Compiled 313 to 157 computations (49.8% saved)

prune12.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh022
Picked011
Done011
Total32436
Accuracy
100.0%
Counts
36 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 1 x))
49.1%
(*.f64 x (+.f64 x 1))
49.3%
x
51.0%
-1
100.0%
(/.f64 x (-.f64 1 x))
49.1%
(*.f64 x (+.f64 x 1))
49.3%
x
51.0%
-1
Compiler

Compiled 32 to 22 computations (31.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 1 x))
49.1%
(*.f64 x (+.f64 x 1))
49.3%
x
51.0%
-1
Compiler

Compiled 40 to 26 computations (35% saved)

regimes10.0ms (0.6%)

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

2 calls:

6.0ms
x
3.0ms
(/.f64 x (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 x (-.f64 1 x))
Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes12.0ms (0.7%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
97.8%3x
Compiler

Compiled 10 to 6 computations (40% saved)

regimes10.0ms (0.5%)

Counts
2 → 3
Calls
Call 1
Inputs
-1
x
Outputs
-1
x
-1
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
96.8%3x
Compiler

Compiled 5 to 3 computations (40% saved)

regimes4.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
51.0%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch25.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.0400607576928462
368.02393841843065
11.0ms
-157.42080970007086
-0.11327527736068066
Results
22.0ms256×body256valid
Compiler

Compiled 170 to 135 computations (20.6% saved)

bsearch25.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.0400607576928462
368.02393841843065
12.0ms
-157.42080970007086
-0.11327527736068066
Results
21.0ms256×body256valid
Compiler

Compiled 106 to 87 computations (17.9% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
if-if-or-not
*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02068
13468
23768
33968
44068
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3/4) -1 (if (<=.f64 x 1) (*.f64 x (+.f64 x 1)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1
Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3/4) -1 (if (<=.f64 x 1) (*.f64 x (+.f64 x 1)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1
Compiler

Compiled 36 to 27 computations (25% saved)

soundness60.0ms (3.4%)

Rules
1412×pow1
1314×add-exp-log
1314×log1p-expm1-u
1314×expm1-log1p-u
1290×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112813
2171613
Stop Event
node limit
Compiler

Compiled 54 to 33 computations (38.9% saved)

end0.0ms (0%)

preprocess38.0ms (2.1%)

Compiler

Compiled 78 to 56 computations (28.2% saved)

Profiling

Loading profile data...