neg log

Time bar (total: 3.1s)

analyze3.0ms (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
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)

sample1.6s (51.5%)

Results
1.6s8256×body256valid
2.0ms22×body256invalid
Bogosity

preprocess189.0ms (6.2%)

Algorithm
1×egg-herbie
Rules
22×sub-neg
16×+-commutative
12×fma-def
6×*-commutative
6×associate--r+
Problems
255×No Errors
1×(-.f64 (/.f64 1 x) 1)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01467
12663
23663
34163
45463
56463
67363
Stop Event
1×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)))
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)))
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)

localize100.0ms (3.3%)

Localize:

Found 2 expressions with local error:

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

Compiled 25 to 20 computations (20% saved)

series3.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (-.f64 (/.f64 1 x) 1))
1.0ms
x
@0
(-.f64 (/.f64 1 x) 1)
1.0ms
x
@-inf
(-.f64 (/.f64 1 x) 1)
1.0ms
x
@inf
(log.f64 (-.f64 (/.f64 1 x) 1))
0.0ms
x
@-inf
(log.f64 (-.f64 (/.f64 1 x) 1))

rewrite134.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
1518×pow1
1404×add-exp-log
1402×log1p-expm1-u
1402×expm1-log1p-u
1372×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
116330
2202630
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) 1)
(log.f64 (-.f64 (/.f64 1 x) 1))
Outputs
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(*.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 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 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))
(/.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))))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(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 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2))) (cbrt.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))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.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 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(+.f64 0 (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 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 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1)
(*.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2)))
(*.f64 (cbrt.f64 (pow.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))))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
(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))))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))

simplify75.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1078×fma-neg
1000×fma-def
728×log-prod
708×div-sub
664×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01481634
13361426
211261400
356891400
Stop Event
1×node limit
Counts
70 → 94
Calls
Call 1
Inputs
(/.f64 1 x)
-1
-1
(*.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 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(*.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 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 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))
(/.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))))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(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 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2))) (cbrt.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))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.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 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(+.f64 0 (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 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 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1)
(*.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2)))
(*.f64 (cbrt.f64 (pow.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))))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
(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))))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
Outputs
(/.f64 1 x)
-1
-1
(*.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 (*.f64 x x))))
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (log.f64 x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) (+.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 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) (log.f64 x)) x)
(-.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 x x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))
(-.f64 (log.f64 -1) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))
(+.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 (-.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -1 x) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (+.f64 (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 (*.f64 x x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))
(-.f64 (log.f64 -1) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))
(+.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 (-.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -1 x) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -1/2 (pow.f64 x -2) (/.f64 -1 x)) (/.f64 -1/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(+.f64 (/.f64 1 x) -1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.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 (+.f64 -1 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))))
(*.f64 (+.f64 (pow.f64 x -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(*.f64 (+.f64 -1 (pow.f64 x -2)) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x)))
(*.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.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 (*.f64 (+.f64 -1 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)))
(*.f64 (+.f64 -1 (pow.f64 x -2)) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (/.f64 1 x) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))
(*.f64 (+.f64 -1 (pow.f64 x -2)) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 -1 (pow.f64 x -2)) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -2)) (+.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 (*.f64 (+.f64 -1 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 x))))
(*.f64 (+.f64 -1 (pow.f64 x -2)) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x)))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.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))))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2))) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(fma.f64 1 (/.f64 1 x) -1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1)
(+.f64 -1 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 (/.f64 1 x) -1)
(+.f64 0 (log.f64 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 (/.f64 1 x) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(log.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))))
(log.f64 (+.f64 (/.f64 1 x) -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 -1 (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log1p.f64 (-.f64 (pow.f64 x -2) (/.f64 -1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1)
(log.f64 (+.f64 (/.f64 1 x) -1))
(*.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 (/.f64 1 x) -1))
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(log.f64 (+.f64 (/.f64 1 x) -1))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2)))
(log.f64 (+.f64 (/.f64 1 x) -1))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(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))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(log.f64 (+.f64 (/.f64 1 x) -1))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
(log.f64 (+.f64 (/.f64 1 x) -1))
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(log.f64 (+.f64 (/.f64 1 x) -1))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
(log.f64 (+.f64 (/.f64 1 x) -1))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2))
(log.f64 (+.f64 (/.f64 1 x) -1))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))
(log.f64 (+.f64 (/.f64 1 x) -1))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(log.f64 (+.f64 (/.f64 1 x) -1))

eval28.0ms (0.9%)

Compiler

Compiled 1174 to 966 computations (17.7% saved)

prune19.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New89594
Fresh000
Picked011
Done000
Total89695
Accuracy
100.0%
Counts
95 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶97.0%
(neg.f64 (neg.f64 (log.f64 x)))
▶49.3%
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
▶97.0%
(neg.f64 (log.f64 (/.f64 1 x)))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶0.0%
(neg.f64 (log.f64 -1))
▶97.9%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶97.0%
(neg.f64 (neg.f64 (log.f64 x)))
▶49.3%
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
▶97.0%
(neg.f64 (log.f64 (/.f64 1 x)))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶0.0%
(neg.f64 (log.f64 -1))
Compiler

Compiled 160 to 134 computations (16.3% saved)

localize327.0ms (10.7%)

Compiler

Compiled 105 to 68 computations (35.2% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune8.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked055
Done011
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.9%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓97.0%
(neg.f64 (neg.f64 (log.f64 x)))
✓49.3%
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓97.0%
(neg.f64 (log.f64 (/.f64 1 x)))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓0.0%
(neg.f64 (log.f64 -1))
Compiler

Compiled 83 to 67 computations (19.3% saved)

regimes50.0ms (1.6%)

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

5 calls:

10.0ms
(log.f64 (-.f64 (/.f64 1 x) 1))
9.0ms
(-.f64 (/.f64 1 x) 1)
9.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
9.0ms
(/.f64 1 x)
9.0ms
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 66 to 52 computations (21.2% saved)

regimes17.0ms (0.6%)

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

2 calls:

8.0ms
(/.f64 1 x)
7.0ms
x
Results
AccuracySegmentsBranch
97.9%1x
97.9%1(/.f64 1 x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes15.0ms (0.5%)

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

2 calls:

7.0ms
(/.f64 1 x)
7.0ms
x
Results
AccuracySegmentsBranch
97.0%1x
97.0%1(/.f64 1 x)
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes79.0ms (2.6%)

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:

78.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify15.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
54×unsub-neg
38×neg-mul-1
26×sub-neg
26×distribute-neg-in
26×neg-sub0
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01754
13354
25846
39346
412846
514746
616446
717746
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(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 (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 20 to 16 computations (20% saved)

soundness357.0ms (11.7%)

Rules
1078×fma-neg
1078×fma-neg
1000×fma-def
1000×fma-def
728×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01481634
13361426
211261400
356891400
01481634
13361426
211261400
356891400
Stop Event
1×node limit
1×node limit
Compiler

Compiled 50 to 33 computations (34% saved)

end0.0ms (0%)

preprocess61.0ms (2%)

Compiler

Compiled 50 to 38 computations (24% saved)

Profiling

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