neg log

Time bar (total: 2.6s)

analyze3.0ms (0.1%)

Algorithm
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
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (40.4%)

Results
980.0ms8256×body256valid
2.0ms26×body256invalid
Bogosity

preprocess88.0ms (3.4%)

Algorithm
egg-herbie
Rules
24×fma-def
20×sub-neg
16×+-commutative
*-commutative
associate--r+
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017100
13192
25092
36692
48792
59392
69792
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (-.f64 (/.f64 1 (neg.f64 x)) 1)))
(neg.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1 (neg.f64 x)) 1))))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(neg.f64 (log.f64 (-.f64 (/.f64 1 (neg.f64 x)) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) -1)))
(neg.f64 (log.f64 (+.f64 (/.f64 -1 x) -1)))
(neg.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1 (neg.f64 x)) 1))))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) -1))
(log.f64 (+.f64 (/.f64 -1 x) -1))
Compiler

Compiled 33 to 27 computations (18.2% saved)

eval0.0ms (0%)

Compiler

Compiled 8 to 7 computations (12.5% saved)

prune1.0ms (0%)

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

Compiled 16 to 14 computations (12.5% saved)

localize73.0ms (2.8%)

Localize:

Found 2 expressions with local error:

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

Compiled 25 to 20 computations (20% saved)

series75.0ms (2.9%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
74.0ms
x
@0
(-.f64 (/.f64 1 x) 1)
0.0ms
x
@-inf
(-.f64 (/.f64 1 x) 1)
0.0ms
x
@0
(log.f64 (-.f64 (/.f64 1 x) 1))
0.0ms
x
@inf
(log.f64 (-.f64 (/.f64 1 x) 1))
0.0ms
x
@-inf
(log.f64 (-.f64 (/.f64 1 x) 1))

rewrite167.0ms (6.5%)

Algorithm
batch-egg-rewrite
Rules
634×unpow-prod-down
421×log1p-expm1-u
421×expm1-log1p-u
404×log-prod
398×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
110136
2126636
Stop Event
node limit
Counts
2 → 127
Calls
Call 1
Inputs
(log.f64 (-.f64 (/.f64 1 x) 1))
(-.f64 (/.f64 1 x) 1)
Outputs
(+.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 0)
(+.f64 0 (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log.f64 (/.f64 1 (+.f64 1 (/.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -1/2) 1)) (log.f64 (-.f64 (pow.f64 x -1/2) 1)))
(-.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (/.f64 1 x) -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -3) -1))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (neg.f64 (+.f64 1 (/.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(+.f64 (/.f64 1 x) -1)
(+.f64 (/.f64 1 x) (log.f64 (exp.f64 -1)))
(+.f64 -1 (/.f64 1 x))
(+.f64 0 (+.f64 (/.f64 1 x) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(*.f64 (+.f64 (/.f64 1 x) -1) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 x -3) -1) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (pow.f64 1 1/3) (+.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (/.f64 1 x) -1))))
(/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) -1)) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 x))))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x -3) -1))) (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x -2) -1))) (+.f64 1 (/.f64 1 x)))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))) (E.f64))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) (+.f64 (pow.f64 x -3) -1))) (cbrt.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) (+.f64 (pow.f64 x -2) -1))) (cbrt.f64 (+.f64 1 (/.f64 1 x))))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -3) -1) 3) (pow.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -2) -1) 3) (pow.f64 (+.f64 1 (/.f64 1 x)) 3)))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 (/.f64 1 x) -1))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 1 (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) 1 -1)
(fma.f64 -1 (/.f64 1 (neg.f64 x)) -1)
(fma.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 x) -2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (/.f64 1 x)) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1) -1)

simplify73.0ms (2.8%)

Algorithm
egg-herbie
Rules
1892×fma-def
532×*-commutative
530×sqr-pow
422×log-prod
402×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03205375
17334890
222664772
Stop Event
node limit
Counts
142 → 214
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 1 x)
-1
-1
(+.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 0)
(+.f64 0 (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log.f64 (/.f64 1 (+.f64 1 (/.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -1/2) 1)) (log.f64 (-.f64 (pow.f64 x -1/2) 1)))
(-.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (/.f64 1 x) -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -3) -1))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (neg.f64 (+.f64 1 (/.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(+.f64 (/.f64 1 x) -1)
(+.f64 (/.f64 1 x) (log.f64 (exp.f64 -1)))
(+.f64 -1 (/.f64 1 x))
(+.f64 0 (+.f64 (/.f64 1 x) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(*.f64 (+.f64 (/.f64 1 x) -1) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 x -3) -1) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (pow.f64 1 1/3) (+.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (/.f64 1 x) -1))))
(/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) -1)) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 x))))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x -3) -1))) (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x -2) -1))) (+.f64 1 (/.f64 1 x)))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))) (E.f64))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) (+.f64 (pow.f64 x -3) -1))) (cbrt.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) (+.f64 (pow.f64 x -2) -1))) (cbrt.f64 (+.f64 1 (/.f64 1 x))))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -3) -1) 3) (pow.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -2) -1) 3) (pow.f64 (+.f64 1 (/.f64 1 x)) 3)))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 (/.f64 1 x) -1))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 1 (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) 1 -1)
(fma.f64 -1 (/.f64 1 (neg.f64 x)) -1)
(fma.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 x) -2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (/.f64 1 x)) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1) -1)
Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x)))
(*.f64 -1 (+.f64 x (log.f64 x)))
(-.f64 (neg.f64 (log.f64 x)) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 -1 x (fma.f64 -1 (log.f64 x) (*.f64 -1/2 (pow.f64 x 2))))
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (log.f64 x)) x)
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))))
(fma.f64 -1 x (fma.f64 -1 (log.f64 x) (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))) (log.f64 x)) x)
(-.f64 (*.f64 (pow.f64 x 2) (+.f64 -1/2 (*.f64 x -1/3))) (+.f64 x (log.f64 x)))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (-.f64 (log.f64 -1) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))) (/.f64 -1/3 (pow.f64 x 3)))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3))))
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(+.f64 -1 (/.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) -1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 -1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 x) -2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (/.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 x) -2) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1) -1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))

eval129.0ms (5%)

Compiler

Compiled 3544 to 3065 computations (13.5% saved)

prune31.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2095214
Fresh000
Picked101
Done000
Total2105215
Accuracy
100.0%
Counts
215 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
100.0%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))
97.8%
(neg.f64 (neg.f64 (log.f64 x)))
100.0%
(neg.f64 (log1p.f64 (+.f64 (/.f64 1 x) -2)))
0.0%
(neg.f64 (log.f64 -1))
98.6%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
100.0%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))
97.8%
(neg.f64 (neg.f64 (log.f64 x)))
100.0%
(neg.f64 (log1p.f64 (+.f64 (/.f64 1 x) -2)))
0.0%
(neg.f64 (log.f64 -1))
Compiler

Compiled 140 to 120 computations (14.3% saved)

localize334.0ms (13%)

Compiler

Compiled 103 to 69 computations (33% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked055
Done000
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
100.0%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))
97.8%
(neg.f64 (neg.f64 (log.f64 x)))
100.0%
(neg.f64 (log1p.f64 (+.f64 (/.f64 1 x) -2)))
0.0%
(neg.f64 (log.f64 -1))
Compiler

Compiled 73 to 60 computations (17.8% saved)

regimes26.0ms (1%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log1p.f64 (+.f64 (/.f64 1 x) -2)))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))
Outputs
(neg.f64 (log1p.f64 (+.f64 (/.f64 1 x) -2)))
Calls

5 calls:

6.0ms
(/.f64 1 x)
5.0ms
(-.f64 (/.f64 1 x) 1)
5.0ms
(log.f64 (-.f64 (/.f64 1 x) 1))
5.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
100.0%1(log.f64 (-.f64 (/.f64 1 x) 1))
100.0%1(-.f64 (/.f64 1 x) 1)
100.0%1(/.f64 1 x)
Compiler

Compiled 65 to 52 computations (20% saved)

regimes21.0ms (0.8%)

Counts
4 → 1
Calls
Call 1
Inputs
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
Calls

5 calls:

5.0ms
(-.f64 (/.f64 1 x) 1)
4.0ms
x
4.0ms
(log.f64 (-.f64 (/.f64 1 x) 1))
4.0ms
(/.f64 1 x)
3.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
100.0%1(log.f64 (-.f64 (/.f64 1 x) 1))
100.0%1(-.f64 (/.f64 1 x) 1)
100.0%1(/.f64 1 x)
Compiler

Compiled 48 to 37 computations (22.9% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
Outputs
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
Outputs
(neg.f64 (neg.f64 (log.f64 x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
97.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 (log.f64 -1))
Outputs
(neg.f64 (log.f64 -1))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Rules
62×unsub-neg
44×neg-mul-1
28×sub-neg
28×neg-sub0
26×distribute-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02390
14290
26982
310582
414082
515982
618182
719982
Stop Event
done
saturated
Calls
Call 1
Inputs
(neg.f64 (log1p.f64 (+.f64 (/.f64 1 x) -2)))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 -1))
Outputs
(neg.f64 (log1p.f64 (+.f64 (/.f64 1 x) -2)))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(+.f64 (log.f64 x) (neg.f64 (neg.f64 x)))
(+.f64 x (log.f64 x))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(neg.f64 (log.f64 -1))
Compiler

Compiled 28 to 23 computations (17.9% saved)

soundness407.0ms (15.8%)

Rules
1892×fma-def
1892×fma-def
1892×fma-def
634×unpow-prod-down
532×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
110136
2126636
03205375
17334890
222664772
03205375
17334890
222664772
03205375
17334890
222664772
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 178 to 147 computations (17.4% saved)

end0.0ms (0%)

preprocess88.0ms (3.4%)

Compiler

Compiled 64 to 50 computations (21.9% saved)

Profiling

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