Asymptote B

Time bar (total: 2.6s)

analyze2.0ms (0.1%)

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

Compiled 13 to 10 computations (23.1% saved)

sample899.0ms (34.4%)

Results
882.0ms8256×body256valid
Bogosity

preprocess77.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
772×fma-def
218×div-sub
208×times-frac
136×sub-neg
132×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016105
13095
25093
38593
413093
521093
634493
773093
8115093
9150293
10156493
11157293
12157493
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 (neg.f64 x) 1)) (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) 1)))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 (neg.f64 x) 1)) (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) 1)))
(+.f64 (/.f64 1 (+.f64 (neg.f64 x) -1)) (/.f64 (neg.f64 x) (+.f64 1 (neg.f64 x))))
(-.f64 (/.f64 1 (fma.f64 -1 x -1)) (/.f64 x (-.f64 1 x)))
(-.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 x (-.f64 1 x)))
(-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 x (+.f64 x -1)))
Compiler

Compiled 12 to 9 computations (25% saved)

eval1.0ms (0%)

Compiler

Compiled 34 to 25 computations (26.5% saved)

prune1.0ms (0.1%)

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

Compiled 24 to 18 computations (25% saved)

localize40.0ms (1.5%)

Localize:

Found 3 expressions with local error:

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

Compiled 31 to 22 computations (29% saved)

series2.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite91.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
1182×fma-def
1030×log-prod
836×pow-prod-down
506×pow-exp
470×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0957
121757
2351457
Stop Event
1×node limit
Counts
3 → 171
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
(/.f64 1 (-.f64 x 1))
Outputs
(+.f64 0 (/.f64 x (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)
(*.f64 x (/.f64 1 (+.f64 x 1)))
(*.f64 1 (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))
(*.f64 (/.f64 1 (+.f64 x 1)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (/.f64 x (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) x) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 x 1) x) 1) -1)
(neg.f64 (/.f64 x (fma.f64 -1 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 x))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(*.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(*.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2)) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(*.f64 (fma.f64 x (+.f64 x -1) (+.f64 x 1)) (/.f64 1 (fma.f64 x x -1)))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(/.f64 1 (/.f64 (fma.f64 x x -1) (fma.f64 x (+.f64 x -1) (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (pow.f64 (+.f64 x -1) -2))))
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (/.f64 x (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(/.f64 (fma.f64 x (fma.f64 -1 x 1) (*.f64 (+.f64 x 1) -1)) (*.f64 (+.f64 x 1) (fma.f64 -1 x 1)))
(/.f64 (+.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(/.f64 (+.f64 (fma.f64 -1 x 1) (*.f64 (/.f64 (+.f64 x 1) x) -1)) (*.f64 (/.f64 (+.f64 x 1) x) (fma.f64 -1 x 1)))
(/.f64 (fma.f64 (neg.f64 x) (+.f64 x -1) (*.f64 (fma.f64 -1 x -1) 1)) (*.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 -1 x 1) (*.f64 (fma.f64 -1 x -1) -1)) (*.f64 (fma.f64 -1 x -1) (fma.f64 -1 x 1)))
(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 (+.f64 x -1) (neg.f64 x))) (*.f64 (+.f64 x -1) (fma.f64 -1 x -1)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 (fma.f64 -1 x 1) x)) (*.f64 (fma.f64 -1 x 1) (+.f64 x 1)))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 x 1) x) (*.f64 (fma.f64 -1 x 1) 1)) (*.f64 (fma.f64 -1 x 1) (/.f64 (+.f64 x 1) x)))
(/.f64 (fma.f64 -1 (fma.f64 -1 x -1) (*.f64 (fma.f64 -1 x 1) (neg.f64 x))) (*.f64 (fma.f64 -1 x 1) (fma.f64 -1 x -1)))
(/.f64 (neg.f64 (fma.f64 x (+.f64 x -1) (+.f64 x 1))) (neg.f64 (fma.f64 x x -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (pow.f64 (+.f64 x -1) -2))) (neg.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))))
(/.f64 (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 x 1)) (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2)
(pow.f64 (/.f64 (fma.f64 x x -1) (fma.f64 x (+.f64 x -1) (+.f64 x 1))) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (pow.f64 (+.f64 x -1) -2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (exp.f64 (/.f64 1 (+.f64 x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (exp.f64 (/.f64 x (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(fma.f64 x (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 x (+.f64 x 1)) 1 (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 -1 (/.f64 1 (fma.f64 -1 x 1)) (/.f64 x (+.f64 x 1)))
(fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(+.f64 0 (/.f64 1 (+.f64 x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 -1 (/.f64 1 (fma.f64 -1 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(pow.f64 (cbrt.f64 (+.f64 x -1)) -3)
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 x -1) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 x -1)) -2)
(pow.f64 (neg.f64 (fma.f64 -1 x 1)) -1)
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x -1)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 x -1))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))

simplify109.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
916×distribute-lft-in
886×distribute-rgt-in
638×associate-+r+
580×unswap-sqr
578×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04406879
110806561
232206431
Stop Event
1×node limit
Counts
207 → 302
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 6))))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 3)))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 0 (/.f64 x (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)
(*.f64 x (/.f64 1 (+.f64 x 1)))
(*.f64 1 (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))
(*.f64 (/.f64 1 (+.f64 x 1)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (/.f64 x (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) x) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 x 1) x) 1) -1)
(neg.f64 (/.f64 x (fma.f64 -1 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 x))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(*.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(*.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2)) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(*.f64 (fma.f64 x (+.f64 x -1) (+.f64 x 1)) (/.f64 1 (fma.f64 x x -1)))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(/.f64 1 (/.f64 (fma.f64 x x -1) (fma.f64 x (+.f64 x -1) (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (pow.f64 (+.f64 x -1) -2))))
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (/.f64 x (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(/.f64 (fma.f64 x (fma.f64 -1 x 1) (*.f64 (+.f64 x 1) -1)) (*.f64 (+.f64 x 1) (fma.f64 -1 x 1)))
(/.f64 (+.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(/.f64 (+.f64 (fma.f64 -1 x 1) (*.f64 (/.f64 (+.f64 x 1) x) -1)) (*.f64 (/.f64 (+.f64 x 1) x) (fma.f64 -1 x 1)))
(/.f64 (fma.f64 (neg.f64 x) (+.f64 x -1) (*.f64 (fma.f64 -1 x -1) 1)) (*.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 -1 x 1) (*.f64 (fma.f64 -1 x -1) -1)) (*.f64 (fma.f64 -1 x -1) (fma.f64 -1 x 1)))
(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 (+.f64 x -1) (neg.f64 x))) (*.f64 (+.f64 x -1) (fma.f64 -1 x -1)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 (fma.f64 -1 x 1) x)) (*.f64 (fma.f64 -1 x 1) (+.f64 x 1)))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 x 1) x) (*.f64 (fma.f64 -1 x 1) 1)) (*.f64 (fma.f64 -1 x 1) (/.f64 (+.f64 x 1) x)))
(/.f64 (fma.f64 -1 (fma.f64 -1 x -1) (*.f64 (fma.f64 -1 x 1) (neg.f64 x))) (*.f64 (fma.f64 -1 x 1) (fma.f64 -1 x -1)))
(/.f64 (neg.f64 (fma.f64 x (+.f64 x -1) (+.f64 x 1))) (neg.f64 (fma.f64 x x -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (pow.f64 (+.f64 x -1) -2))) (neg.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))))
(/.f64 (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 x 1)) (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2)
(pow.f64 (/.f64 (fma.f64 x x -1) (fma.f64 x (+.f64 x -1) (+.f64 x 1))) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 (+.f64 x 1) x) -3))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (pow.f64 (+.f64 x -1) -2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (exp.f64 (/.f64 1 (+.f64 x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (exp.f64 (/.f64 x (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(fma.f64 x (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 x (+.f64 x 1)) 1 (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 -1 (/.f64 1 (fma.f64 -1 x 1)) (/.f64 x (+.f64 x 1)))
(fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(+.f64 0 (/.f64 1 (+.f64 x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 -1 (/.f64 1 (fma.f64 -1 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(pow.f64 (cbrt.f64 (+.f64 x -1)) -3)
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 x -1) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 x -1)) -2)
(pow.f64 (neg.f64 (fma.f64 -1 x 1)) -1)
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x -1)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 x -1))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
Outputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 2)))
(+.f64 x (neg.f64 (*.f64 x x)))
(*.f64 x (-.f64 1 x))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 x (fma.f64 -1 (*.f64 x x) (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (*.f64 x (-.f64 1 x)))
(*.f64 x (fma.f64 x (+.f64 x -1) 1))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 3))))
(+.f64 x (fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (pow.f64 x 3))))
(+.f64 x (+.f64 (pow.f64 x 3) (neg.f64 (fma.f64 x x (pow.f64 x 4)))))
(+.f64 x (-.f64 (pow.f64 x 3) (fma.f64 x x (pow.f64 x 4))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) -2 -1)
(fma.f64 x (*.f64 x -2) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))))
(fma.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6)) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 (pow.f64 x 4)) 1))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 6))))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 (/.f64 2 x) x))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 (pow.f64 x 4)) 1))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 6))))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 (/.f64 2 x) x))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (*.f64 -1 (+.f64 x (*.f64 x x))) -1)
(fma.f64 -1 (*.f64 (+.f64 x 1) x) -1)
(fma.f64 x (-.f64 -1 x) -1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -1 (*.f64 x x) (neg.f64 (pow.f64 x 3)))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x (pow.f64 x 3))) x))
(+.f64 -1 (*.f64 x (fma.f64 x (-.f64 -1 x) -1)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 0 (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 x 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)
(/.f64 x (+.f64 x 1))
(*.f64 x (/.f64 1 (+.f64 x 1)))
(/.f64 x (+.f64 x 1))
(*.f64 1 (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 x (+.f64 x 1)) 1)
(/.f64 x (+.f64 x 1))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))
(/.f64 x (+.f64 x 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))
(/.f64 x (+.f64 x 1))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))
(/.f64 (neg.f64 x) (fma.f64 x -1 -1))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 x 1)) x)
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
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(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 -1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 -1 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 x (+.f64 (pow.f64 x 3) 1)) (fma.f64 x (+.f64 x -1) 1) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 x (+.f64 (pow.f64 x 3) 1)) (fma.f64 x (+.f64 x -1) 1) (/.f64 -1 (-.f64 1 x)))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 -1 (-.f64 1 x)))
(+.f64 0 (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(*.f64 -1 (/.f64 1 (fma.f64 -1 x 1)))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 1 (+.f64 x (fma.f64 x x 1))) (+.f64 -1 (pow.f64 x 3)))
(/.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(pow.f64 (+.f64 x -1) -1)
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x -1)) -3)
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x -1) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 3) -1/6) (pow.f64 (pow.f64 (+.f64 x -1) 3) -1/6))
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x -1)) -2)
(pow.f64 (neg.f64 (fma.f64 -1 x 1)) -1)
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) -1))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x -1)) -1) 1))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1) 1))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 x -1)))) 3))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1) -3)) 1/3))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 3) 1/3))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 x -1))) 2))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(/.f64 -1 (-.f64 1 x))

eval111.0ms (4.2%)

Compiler

Compiled 5173 to 3806 computations (26.4% saved)

prune78.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2993302
Fresh000
Picked011
Done000
Total2994303
Accuracy
100.0%
Counts
303 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
▶55.4%
(+.f64 x (/.f64 1 (-.f64 x 1)))
▶46.2%
(+.f64 1 (/.f64 (/.f64 2 x) x))
54.9%
-1
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
▶55.4%
(+.f64 x (/.f64 1 (-.f64 x 1)))
▶46.2%
(+.f64 1 (/.f64 (/.f64 2 x) x))
54.9%
-1
Compiler

Compiled 60 to 46 computations (23.3% saved)

localize65.0ms (2.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (-.f64 x 1))
✓99.8%
(/.f64 (/.f64 2 x) x)
Compiler

Compiled 37 to 26 computations (29.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (/.f64 2 x) x)
0.0ms
x
@inf
(/.f64 (/.f64 2 x) x)
0.0ms
x
@-inf
(/.f64 (/.f64 2 x) x)

rewrite59.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1356×pow1
1262×add-exp-log
1262×log1p-expm1-u
1262×expm1-log1p-u
1236×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113213
2171813
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (/.f64 2 x) x)
Outputs
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(*.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 2 (/.f64 (/.f64 1 x) x))
(*.f64 2 (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(*.f64 (/.f64 2 (*.f64 x x)) 1)
(*.f64 1 (/.f64 2 (*.f64 x x)))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(*.f64 (/.f64 -2 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 2 x))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (*.f64 x (*.f64 x 1/2)) -1)
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 2 (*.f64 x x))))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x))))

simplify52.0ms (2%)

Algorithm
1×egg-herbie
Rules
986×fma-def
864×log-prod
710×log-div
602×distribute-rgt-in
602×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097653
1244653
2800653
33542653
Stop Event
1×node limit
Counts
47 → 39
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(*.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 2 (/.f64 (/.f64 1 x) x))
(*.f64 2 (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(*.f64 (/.f64 2 (*.f64 x x)) 1)
(*.f64 1 (/.f64 2 (*.f64 x x)))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(*.f64 (/.f64 -2 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 2 x))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (*.f64 x (*.f64 x 1/2)) -1)
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 2 (*.f64 x x))))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x))))
Outputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 1 x) x))
(/.f64 2 (*.f64 x x))
(*.f64 2 (/.f64 1 (*.f64 x x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 (*.f64 x x)) 1)
(/.f64 2 (*.f64 x x))
(*.f64 1 (/.f64 2 (*.f64 x x)))
(/.f64 2 (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2))
(/.f64 2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(/.f64 2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(/.f64 2 (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 -2 x) (/.f64 1 (neg.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 2 x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 2 (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)))
(/.f64 2 (*.f64 x x))
(pow.f64 (/.f64 2 (*.f64 x x)) 1)
(/.f64 2 (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)
(/.f64 2 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)
(/.f64 2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(/.f64 2 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x 1/2)) -1)
(/.f64 2 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x)))
(/.f64 2 (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 2))
(/.f64 2 (*.f64 x x))
(log.f64 (exp.f64 (/.f64 2 (*.f64 x x))))
(/.f64 2 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))
(/.f64 2 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))
(/.f64 2 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))
(/.f64 2 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x))))
(/.f64 2 (*.f64 x x))

eval33.0ms (1.2%)

Compiler

Compiled 1372 to 1016 computations (25.9% saved)

prune27.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1122114
Fresh011
Picked022
Done011
Total1126118
Accuracy
100.0%
Counts
118 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
✓55.4%
(+.f64 x (/.f64 1 (-.f64 x 1)))
▶3.0%
(+.f64 x (/.f64 1 x))
▶55.7%
(+.f64 x (-.f64 -1 x))
✓46.2%
(+.f64 1 (/.f64 (/.f64 2 x) x))
54.9%
-1
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
✓55.4%
(+.f64 x (/.f64 1 (-.f64 x 1)))
▶3.0%
(+.f64 x (/.f64 1 x))
▶55.7%
(+.f64 x (-.f64 -1 x))
✓46.2%
(+.f64 1 (/.f64 (/.f64 2 x) x))
54.9%
-1
Compiler

Compiled 84 to 62 computations (26.2% saved)

localize65.0ms (2.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓56.1%
(+.f64 x (-.f64 -1 x))
Compiler

Compiled 22 to 14 computations (36.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1622×pow1
1512×add-exp-log
1512×log1p-expm1-u
1512×expm1-log1p-u
1486×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
114013
2198413
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 x (-.f64 -1 x))
Outputs
(-.f64 -1 (-.f64 x x))
(-.f64 (+.f64 x -1) x)
(-.f64 (+.f64 1 (-.f64 -1 (-.f64 x x))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x -1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (-.f64 x -1) x)))
(*.f64 (-.f64 -1 (-.f64 x x)) 1)
(*.f64 1 (-.f64 -1 (-.f64 x x)))
(*.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 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (+.f64 (-.f64 x -1) x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x -1) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 -1 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (-.f64 x -1) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (+.f64 (-.f64 x -1) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 x x)) (-.f64 (-.f64 -1 x) x))
(/.f64 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (*.f64 x x)) (+.f64 (+.f64 x -1) 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 (log.f64 (-.f64 -1 (-.f64 x x))))
(log1p.f64 (expm1.f64 (-.f64 -1 (-.f64 x x))))
(fma.f64 1 x (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) x)

simplify53.0ms (2%)

Algorithm
1×egg-herbie
Rules
1600×fma-neg
1438×div-sub
542×distribute-lft-out
514×distribute-lft-neg-in
482×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
099457
1288427
2683397
33072377
Stop Event
1×node limit
Counts
49 → 45
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(-.f64 -1 (-.f64 x x))
(-.f64 (+.f64 x -1) x)
(-.f64 (+.f64 1 (-.f64 -1 (-.f64 x x))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x -1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (-.f64 x -1) x)))
(*.f64 (-.f64 -1 (-.f64 x x)) 1)
(*.f64 1 (-.f64 -1 (-.f64 x x)))
(*.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 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (+.f64 (-.f64 x -1) x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x -1) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 -1 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (-.f64 x -1) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (+.f64 (-.f64 x -1) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 x x)) (-.f64 (-.f64 -1 x) x))
(/.f64 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (*.f64 x x)) (+.f64 (+.f64 x -1) 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 (log.f64 (-.f64 -1 (-.f64 x x))))
(log1p.f64 (expm1.f64 (-.f64 -1 (-.f64 x x))))
(fma.f64 1 x (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) x)
Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(-.f64 -1 (-.f64 x x))
-1
(-.f64 (+.f64 x -1) x)
-1
(-.f64 (+.f64 1 (-.f64 -1 (-.f64 x x))) 1)
-1
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x -1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (-.f64 x -1) x)))
-1
(*.f64 (-.f64 -1 (-.f64 x x)) 1)
-1
(*.f64 1 (-.f64 -1 (-.f64 x x)))
-1
(*.f64 (cbrt.f64 (-.f64 -1 (-.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 -1 (-.f64 x x))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (-.f64 x x))) 2) (cbrt.f64 (-.f64 -1 (-.f64 x x))))
-1
(*.f64 (sqrt.f64 (-.f64 -1 (-.f64 x x))) (sqrt.f64 (-.f64 -1 (-.f64 x x))))
-1
(*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (fma.f64 2 x 1))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (+.f64 (-.f64 x -1) x)))
-1
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (fma.f64 2 x 1))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))
(/.f64 1 (/.f64 (+.f64 (-.f64 x -1) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))))
-1
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (fma.f64 2 x 1))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 -1 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (fma.f64 2 x 1))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (-.f64 x -1) x))
-1
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (fma.f64 2 x 1))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (+.f64 (-.f64 x -1) x)))
-1
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x -1) (+.f64 x -1) (*.f64 x (+.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 x -1) (fma.f64 2 x -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 x x)) (-.f64 (-.f64 -1 x) x))
-1
(/.f64 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (*.f64 x x)) (+.f64 (+.f64 x -1) x))
-1
(pow.f64 (-.f64 -1 (-.f64 x x)) 1)
-1
(pow.f64 (cbrt.f64 (-.f64 -1 (-.f64 x x))) 3)
-1
(pow.f64 (pow.f64 (-.f64 -1 (-.f64 x x)) 3) 1/3)
-1
(pow.f64 (sqrt.f64 (-.f64 -1 (-.f64 x x))) 2)
-1
(sqrt.f64 (pow.f64 (-.f64 -1 (-.f64 x x)) 2))
1
(log.f64 (exp.f64 (-.f64 -1 (-.f64 x x))))
-1
(cbrt.f64 (pow.f64 (-.f64 -1 (-.f64 x x)) 3))
-1
(expm1.f64 (log1p.f64 (-.f64 -1 (-.f64 x x))))
-1
(exp.f64 (log.f64 (-.f64 -1 (-.f64 x x))))
-1
(log1p.f64 (expm1.f64 (-.f64 -1 (-.f64 x x))))
-1
(fma.f64 1 x (-.f64 -1 x))
-1
(fma.f64 1 (-.f64 -1 x) x)
-1
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 -1 x))
-1
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) x)
-1
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 -1 x))
-1
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) x)
-1

eval12.0ms (0.4%)

Compiler

Compiled 603 to 397 computations (34.2% saved)

prune11.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New44145
Fresh011
Picked202
Done033
Total46551
Accuracy
100.0%
Counts
51 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
✓55.4%
(+.f64 x (/.f64 1 (-.f64 x 1)))
✓46.2%
(+.f64 1 (/.f64 (/.f64 2 x) x))
46.4%
1
54.9%
-1
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
✓55.4%
(+.f64 x (/.f64 1 (-.f64 x 1)))
✓46.2%
(+.f64 1 (/.f64 (/.f64 2 x) x))
46.4%
1
54.9%
-1
Compiler

Compiled 64 to 50 computations (21.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
✓55.4%
(+.f64 x (/.f64 1 (-.f64 x 1)))
✓46.2%
(+.f64 1 (/.f64 (/.f64 2 x) x))
46.4%
1
54.9%
-1
Compiler

Compiled 81 to 60 computations (25.9% saved)

regimes13.0ms (0.5%)

Counts
8 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 x (-.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.f64 x (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Calls

2 calls:

6.0ms
x
5.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes24.0ms (0.9%)

Counts
6 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 x (-.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.f64 x (/.f64 1 (-.f64 x 1)))
Outputs
1
(+.f64 x (/.f64 1 (-.f64 x 1)))
(+.f64 1 (/.f64 (/.f64 2 x) x))
Calls

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
Compiler

Compiled 29 to 20 computations (31% saved)

regimes17.0ms (0.7%)

Counts
5 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 x (-.f64 -1 x))
(+.f64 x (/.f64 1 x))
(+.f64 1 (/.f64 (/.f64 2 x) x))
Outputs
1
-1
(+.f64 1 (/.f64 (/.f64 2 x) x))
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes15.0ms (0.6%)

Counts
4 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 x (-.f64 -1 x))
(+.f64 x (/.f64 1 x))
Outputs
1
-1
1
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0.1%)

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
54.9%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch41.0ms (1.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
4.034317919634619e-7
40363.35346932207
21.0ms
-14643358585305048.0
-4.901281031681199e-9
Results
36.0ms336×body256valid
Compiler

Compiled 328 to 262 computations (20.1% saved)

bsearch41.0ms (1.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
4.034317919634619e-7
40363.35346932207
22.0ms
-14643358585305048.0
-4.901281031681199e-9
Results
37.0ms336×body256valid
Compiler

Compiled 202 to 178 computations (11.9% saved)

bsearch40.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
4.034317919634619e-7
40363.35346932207
24.0ms
-14643358585305048.0
-4.901281031681199e-9
Results
36.0ms336×body256valid
Compiler

Compiled 142 to 138 computations (2.8% saved)

simplify11.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
12×+-commutative
4×sub-neg
2×*-rgt-identity
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028149
142149
245149
350149
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1643813863990231/1125899906842624) (+.f64 x (/.f64 1 (-.f64 x 1))) (+.f64 1 (/.f64 (/.f64 2 x) x))))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 (+.f64 1 (/.f64 (/.f64 2 x) x))))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1643813863990231/1125899906842624) (+.f64 x (/.f64 1 (-.f64 x 1))) (+.f64 1 (/.f64 (/.f64 2 x) x))))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1643813863990231/1125899906842624) (+.f64 x (/.f64 1 (+.f64 x -1))) (+.f64 1 (/.f64 (/.f64 2 x) x))))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 (+.f64 1 (/.f64 (/.f64 2 x) x))))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Compiler

Compiled 68 to 53 computations (22.1% saved)

soundness489.0ms (18.7%)

Rules
1622×pow1
1600×fma-neg
1512×add-exp-log
1512×log1p-expm1-u
1512×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016105
13095
25093
38593
413093
521093
634493
773093
8115093
9150293
10156493
11157293
12157493
04406879
110806561
232206431
0613
114013
2198413
099457
1288427
2683397
33072377
04406879
110806561
232206431
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 191 to 143 computations (25.1% saved)

end0.0ms (0%)

preprocess62.0ms (2.4%)

Compiler

Compiled 152 to 116 computations (23.7% saved)

Profiling

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