neg log

Details

Time bar (total: 1.9s)

analyze5.0ms (0.2%)

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)

sample1.1s (57.1%)

Results
969.0ms8256×body256valid
117.0ms25×body256invalid
Bogosity

preprocess32.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
8×sub-neg
6×+-commutative
4×fma-def
2×1-exp
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11621
21921
32121
42621
53021
63521
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify13.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
8×sub-neg
6×+-commutative
4×fma-def
2×1-exp
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11621
21921
32121
42621
53021
63521
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))

eval1.0ms (0%)

Compiler

Compiled 15 to 13 computations (13.3% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Accurracy
100.0%
Counts
3 → 1
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)

localize43.0ms (2.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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)

series1.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

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

rewrite96.0ms (5%)

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
(log.f64 (-.f64 (/.f64 1 x) 1))
(-.f64 (/.f64 1 x) 1)
Outputs
(+.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))
(+.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)

simplify66.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1086×fma-neg
978×fma-def
728×log-prod
692×div-sub
664×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01481630
13371426
211261402
356141402
Stop Event
1×node limit
Counts
70 → 95
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 (log.f64 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 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.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 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
-1
-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))
(+.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)
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 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1 (+.f64 x (log.f64 x))))
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 x))
(-.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2))) (log.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 (log.f64 x)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (log.f64 x)))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (log.f64 x)) x))
(-.f64 (fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.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 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 1 x) (/.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 (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 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 1 x) (/.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 (log.f64 -1) (-.f64 (fma.f64 -1/2 (pow.f64 x -2) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3))))
(/.f64 1 x)
-1
-1
(+.f64 0 (log.f64 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(+.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 -1 (/.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(-.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))) (log.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log1p.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(-.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 -1 (/.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(log.f64 (+.f64 -1 (/.f64 1 x)))
(*.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 -1 (/.f64 1 x)))
(*.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 -1 (/.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(log.f64 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
(log.f64 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(log.f64 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
(log.f64 (+.f64 -1 (/.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(+.f64 (/.f64 1 x) -1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(*.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 -1 (/.f64 1 x))
(*.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 -1 (/.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(*.f64 (+.f64 (pow.f64 x -3) -1) (/.f64 1 (+.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 (/.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -2))))
(*.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 -1 (/.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)))
(*.f64 (+.f64 -1 (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -2))))
(/.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 -1 (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (/.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -2))))
(/.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 -1 (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -2))))
(/.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 -1 (/.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(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 -1 (/.f64 1 x))
(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 -1 (/.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.f64 -1 (/.f64 1 x))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (+.f64 (/.f64 1 x) -2))
(+.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 (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 -1 (/.f64 1 x))

eval33.0ms (1.7%)

Compiler

Compiled 1191 to 982 computations (17.5% saved)

prune14.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New91495
Fresh000
Picked011
Done000
Total91596
Accurracy
100.0%
Counts
96 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶98.3%
(neg.f64 (neg.f64 (log.f64 x)))
▶48.5%
(neg.f64 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)))))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶0.0%
(neg.f64 (log.f64 -1))
▶99.1%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶98.3%
(neg.f64 (neg.f64 (log.f64 x)))
▶48.5%
(neg.f64 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)))))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶0.0%
(neg.f64 (log.f64 -1))
Compiler

Compiled 80 to 68 computations (15% saved)

localize158.0ms (8.2%)

Compiler

Compiled 108 to 73 computations (32.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune45.0ms (2.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done011
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.1%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓98.3%
(neg.f64 (neg.f64 (log.f64 x)))
✓48.5%
(neg.f64 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)))))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓0.0%
(neg.f64 (log.f64 -1))
Compiler

Compiled 76 to 62 computations (18.4% saved)

regimes53.0ms (2.8%)

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

5 calls:

35.0ms
x
4.0ms
(log.f64 (-.f64 (/.f64 1 x) 1))
4.0ms
(-.f64 (/.f64 1 x) 1)
4.0ms
(/.f64 1 x)
4.0ms
(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 63 to 50 computations (20.6% saved)

regimes4.0ms (0.2%)

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
99.1%1x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0.2%)

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
98.3%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.2%)

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:

2.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify8.0ms (0.4%)

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)

soundness209.0ms (10.9%)

Rules
1086×fma-neg
1086×fma-neg
978×fma-def
978×fma-def
728×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01481630
13371426
211261402
356141402
01481630
13371426
211261402
356141402
Stop Event
1×node limit
1×node limit
Compiler

Compiled 50 to 33 computations (34% saved)

end37.0ms (1.9%)

Compiler

Compiled 50 to 38 computations (24% saved)

Profiling

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