neg log

Time bar (total: 4.5s)

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)

sample891.0ms (19.9%)

Results
879.0ms8256×body256valid
1.0ms21×body256invalid
Bogosity

preprocess113.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
22×sub-neg
16×+-commutative
12×fma-def
6×*-commutative
6×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01446
12642
23642
34142
45442
56442
67342
Stop Event
1×saturated
Calls
Call 1
Inputs
(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 (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 9 to 8 computations (11.1% saved)

simplify4.0ms (0.1%)

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%)

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)

localize58.0ms (1.3%)

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)

series30.0ms (0.7%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
29.0ms
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))
0.0ms
x
@0
(-.f64 (/.f64 1 x) 1)

rewrite62.0ms (1.4%)

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
(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 (1.5%)

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 (0.7%)

Compiler

Compiled 1191 to 982 computations (17.5% saved)

prune23.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New88795
Fresh000
Picked011
Done000
Total88896
Accurracy
100.0%
Counts
96 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3))
▶98.6%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
51.9%
(neg.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
▶98.0%
(neg.f64 (neg.f64 (log.f64 x)))
▶51.9%
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶100.0%
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
▶0.0%
(neg.f64 (log.f64 -1))
97.9%
(neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3))
▶98.6%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
51.9%
(neg.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
▶98.0%
(neg.f64 (neg.f64 (log.f64 x)))
▶51.9%
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶100.0%
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
▶0.0%
(neg.f64 (log.f64 -1))
Compiler

Compiled 260 to 222 computations (14.6% saved)

localize183.0ms (4.1%)

Compiler

Compiled 112 to 61 computations (45.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune44.0ms (1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New000
Fresh022
Picked055
Done011
Total088
Accurracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3))
✓98.6%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶51.9%
(neg.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
✓98.0%
(neg.f64 (neg.f64 (log.f64 x)))
✓51.9%
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓100.0%
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
✓0.0%
(neg.f64 (log.f64 -1))
▶97.9%
(neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3))
✓98.6%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶51.9%
(neg.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
✓98.0%
(neg.f64 (neg.f64 (log.f64 x)))
✓51.9%
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓100.0%
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
✓0.0%
(neg.f64 (log.f64 -1))
Compiler

Compiled 138 to 118 computations (14.5% saved)

localize228.0ms (5.1%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (/.f64 1 x) -1)
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) -1))
✓99.1%
(cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
✓99.0%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
✓100.0%
(log1p.f64 (/.f64 1 x))
✓100.0%
(+.f64 (pow.f64 x -2) -1)
✓100.0%
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
✓51.9%
(log.f64 (+.f64 (pow.f64 x -2) -1))
Compiler

Compiled 94 to 77 computations (18.1% saved)

series16.0ms (0.4%)

Counts
8 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
2.0ms
x
@0
(cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
1.0ms
x
@0
(log.f64 (+.f64 (pow.f64 x -2) -1))

rewrite158.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
1338×prod-diff
1336×log-prod
848×fma-def
550×expm1-udef
546×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018174
1387126
24547126
Stop Event
1×node limit
Counts
8 → 521
Calls
Call 1
Inputs
(log.f64 (+.f64 (pow.f64 x -2) -1))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(+.f64 (pow.f64 x -2) -1)
(log1p.f64 (/.f64 1 x))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
(cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) -1)
Outputs
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 0)
(+.f64 (log1p.f64 (/.f64 1 x)) (log.f64 (+.f64 -1 (/.f64 1 x))))
(+.f64 0 (log.f64 (+.f64 (pow.f64 x -2) -1)))
(+.f64 (log.f64 (+.f64 -1 (pow.f64 x -6))) (log.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 x -4) 1) (*.f64 (pow.f64 x -2) -1)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -4) -1)) (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -6))) (log.f64 (-.f64 (+.f64 (pow.f64 x -4) 1) (*.f64 (pow.f64 x -2) -1))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -4) -1)) (log.f64 (+.f64 (pow.f64 x -2) 1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)))) 1)
(*.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 1)
(*.f64 1 (log.f64 (+.f64 (pow.f64 x -2) -1)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2)) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
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(pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3))
(expm1.f64 (neg.f64 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) -1))
(expm1.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 1 x))))
(fma.f64 -1 (/.f64 -1 x) -1)
(fma.f64 1 (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) 1 -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) -1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) -1)
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) -1)

simplify316.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
1296×fma-def
952×associate-*r*
866×associate-*l*
482×distribute-rgt-in
468×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084833941
1224830793
Stop Event
1×node limit
Counts
617 → 483
Calls
Call 1
Inputs
(*.f64 -2 (log.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (*.f64 -2 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x))) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x)))) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2 (log.f64 x))))) (*.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 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
-1
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
-1
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 1/3 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 1/3 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))))) (cbrt.f64 -1))))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)))))
(*.f64 (pow.f64 1 1/3) (log.f64 -1))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 -1)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x)))))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 -1)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2) (pow.f64 x 2)))) (*.f64 (pow.f64 (*.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (*.f64 -2/3 (*.f64 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (log.f64 -1)) 1/3)))) (pow.f64 x 2))))))))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (*.f64 -2/3 (*.f64 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (log.f64 -1)) 1/3)))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2) (pow.f64 x 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9) (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3)) (+.f64 1/3 (*.f64 2/3 (*.f64 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9))))) (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (*.f64 -2/3 (*.f64 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (log.f64 -1)) 1/3)))) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 8)) 1/9))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/3) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3)) (+.f64 1/3 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2)))))))) (pow.f64 x 3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (*.f64 (pow.f64 1 1/3) (log.f64 -1)))))))))))
(*.f64 (pow.f64 1 1/3) (log.f64 -1))
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(fma.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (log1p.f64 (/.f64 1 x))))
(fma.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2)) (+.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (log1p.f64 (/.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (fma.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) 1 (log1p.f64 (/.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (log1p.f64 (/.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (+.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (log1p.f64 (/.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))) (fma.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) 1 (log1p.f64 (/.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (log1p.f64 (/.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))) (+.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (log1p.f64 (/.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 1 x))))) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 1 x)))) (log.f64 (+.f64 (pow.f64 x -2) -1)))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 1 x)))) (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 1 x)))) (log.f64 (+.f64 (pow.f64 x -2) -1)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 1 x))) (log.f64 (+.f64 (pow.f64 x -2) -1)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) (fma.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) 1 (log1p.f64 (/.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (log1p.f64 (/.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) (+.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (log1p.f64 (/.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) 3) (fma.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) 1 (log1p.f64 (/.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) 3) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (log1p.f64 (/.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) 3) (+.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (log1p.f64 (/.f64 1 x))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (-.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (fma.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) 1 (log1p.f64 (/.f64 1 x))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (-.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (log1p.f64 (/.f64 1 x))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (-.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (+.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (log1p.f64 (/.f64 1 x))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2))) (cbrt.f64 (log1p.f64 (/.f64 1 x))) (log.f64 (+.f64 (pow.f64 x -2) -1)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) (fma.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) 1 (log1p.f64 (/.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (log1p.f64 (/.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) (+.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (log1p.f64 (/.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (fma.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) 1 (log1p.f64 (/.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (log1p.f64 (/.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (+.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (log1p.f64 (/.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2) (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) (fma.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) 1 (log1p.f64 (/.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2) (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (log1p.f64 (/.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2) (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 1/6) (+.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (log1p.f64 (/.f64 1 x))))
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x -2) -1) (exp.f64 (neg.f64 (log1p.f64 (/.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(*.f64 1 (+.f64 -1 (/.f64 1 x)))
(*.f64 (+.f64 -1 (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 -1 (/.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 x))) (sqrt.f64 (+.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 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1))
(/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 1 (/.f64 -1 x))) (+.f64 -1 (pow.f64 x -3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)))
(/.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 -1 (pow.f64 x -3))) (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 (-.f64 1 (pow.f64 x -2)) (-.f64 -1 (/.f64 1 x)))
(pow.f64 (+.f64 -1 (/.f64 1 x)) 1)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2))
(pow.f64 (E.f64) (log.f64 (+.f64 -1 (/.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3))
(expm1.f64 (neg.f64 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) -1))
(expm1.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 1 x))))
(fma.f64 -1 (/.f64 -1 x) -1)
(fma.f64 1 (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) 1 -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) -1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) -1)
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) -1)
Outputs
(*.f64 -2 (log.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))
(fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x)))
(-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(-.f64 (log.f64 -1) (pow.f64 x -2))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6)))))
(-.f64 (-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(-.f64 (log.f64 -1) (pow.f64 x -2))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6)))))
(-.f64 (-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))
(-.f64 (*.f64 -2 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x))) (*.f64 -1 (log.f64 x)))
(*.f64 -1 (+.f64 x (log.f64 x)))
(-.f64 (neg.f64 (log.f64 x)) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 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 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2 (log.f64 x))))) (*.f64 -1 (log.f64 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2 (log.f64 x))))) (log.f64 x))
(fma.f64 (*.f64 x x) -1/2 (-.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (log.f64 x)) 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) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))
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(*.f64 (pow.f64 1 1/3) (log.f64 -1))
(log.f64 -1)
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(pow.f64 (log.f64 -1) 1/3)
(cbrt.f64 (log.f64 -1))
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(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 x))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 x -2)) (-.f64 -1 (/.f64 1 x)))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x)))
(pow.f64 (+.f64 -1 (/.f64 1 x)) 1)
(+.f64 -1 (/.f64 1 x))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2))
(+.f64 -1 (/.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 -1 (/.f64 1 x))))
(+.f64 -1 (/.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 3)
(+.f64 -1 (/.f64 1 x))
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3) 1/3)
(+.f64 -1 (/.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 x))) 2)
(+.f64 -1 (/.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))
(+.f64 -1 (/.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))
(+.f64 -1 (/.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2))
(fabs.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 1 x))))
(+.f64 -1 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 1 x)))))
(+.f64 -1 (/.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3))
(+.f64 -1 (/.f64 1 x))
(expm1.f64 (neg.f64 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) -1))
(expm1.f64 (neg.f64 (log.f64 x)))
(expm1.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))
(+.f64 -1 (/.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 1 x))))
(+.f64 -1 (/.f64 1 x))
(fma.f64 -1 (/.f64 -1 x) -1)
(+.f64 -1 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 -1)
(+.f64 -1 (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) -1)
(+.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(+.f64 -1 (/.f64 1 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) -1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) -1)
(+.f64 (pow.f64 (sqrt.f64 x) -2) -1)

eval617.0ms (13.8%)

Compiler

Compiled 15579 to 13564 computations (12.9% saved)

prune76.0ms (1.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4812483
Fresh000
Picked202
Done156
Total4847491
Accurracy
100.0%
Counts
491 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.6%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶51.9%
(neg.f64 (-.f64 (log.f64 (+.f64 (/.f64 1 (*.f64 x x)) -1)) (log1p.f64 (/.f64 1 x))))
▶51.9%
(neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (log1p.f64 (/.f64 1 x))))
✓98.0%
(neg.f64 (neg.f64 (log.f64 x)))
✓51.9%
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓0.0%
(neg.f64 (log.f64 -1))
✓98.6%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶51.9%
(neg.f64 (-.f64 (log.f64 (+.f64 (/.f64 1 (*.f64 x x)) -1)) (log1p.f64 (/.f64 1 x))))
▶51.9%
(neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (log1p.f64 (/.f64 1 x))))
✓98.0%
(neg.f64 (neg.f64 (log.f64 x)))
✓51.9%
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓0.0%
(neg.f64 (log.f64 -1))
Compiler

Compiled 144 to 120 computations (16.7% saved)

localize166.0ms (3.7%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (/.f64 1 (*.f64 x x)) -1)
✓100.0%
(-.f64 (log.f64 (+.f64 (/.f64 1 (*.f64 x x)) -1)) (log1p.f64 (/.f64 1 x)))
✓99.9%
(/.f64 1 (*.f64 x x))
✓51.9%
(log.f64 (+.f64 (/.f64 1 (*.f64 x x)) -1))
✓100.0%
(+.f64 -1 (/.f64 1 x))
✓100.0%
(-.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (log1p.f64 (/.f64 1 x)))
✓99.6%
(*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))
✓51.9%
(log.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x))))
Compiler

Compiled 140 to 103 computations (26.4% saved)

series3.0ms (0.1%)

Counts
8 → 96
Calls

24 calls:

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

rewrite142.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
1856×fma-def
680×expm1-udef
680×log1p-udef
574×fma-neg
410×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018252
1401246
25738114
Stop Event
1×node limit
Counts
8 → 554
Calls
Call 1
Inputs
(log.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x))))
(*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))
(-.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (log1p.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 1 x))
(log.f64 (+.f64 (/.f64 1 (*.f64 x x)) -1))
(/.f64 1 (*.f64 x x))
(-.f64 (log.f64 (+.f64 (/.f64 1 (*.f64 x x)) -1)) (log1p.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) -1)
Outputs
(+.f64 (log1p.f64 (/.f64 1 x)) (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (log1p.f64 (/.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 -1 (pow.f64 x -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (*.f64 x x) -3))) (log.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (*.f64 -1 (pow.f64 x -2)))))
(-.f64 (log.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) -1)) (log.f64 (+.f64 (pow.f64 x -2) 1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))))) 1)
(*.f64 1 (log.f64 (+.f64 -1 (pow.f64 x -2))))
(*.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))) (sqrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) (+.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2) (-.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (log.f64 (+.f64 (/.f64 1 x) -1))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2) (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2)) (-.f64 (log1p.f64 (/.f64 1 x)) (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))))
(exp.f64 (log.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))) 1))
(log1p.f64 (-.f64 (+.f64 -1 (pow.f64 x -2)) 1))
(fma.f64 1 (log1p.f64 (/.f64 1 x)) (log.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)) (log1p.f64 (/.f64 1 x)))
(fma.f64 (log1p.f64 (/.f64 1 x)) 1 (log.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (log.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 x))) (log.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (log1p.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))) (log.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (log1p.f64 (/.f64 1 x)))
(+.f64 -1 (pow.f64 x -2))
(+.f64 (+.f64 (/.f64 1 x) -1) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) -1) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(+.f64 (pow.f64 x -2) -1)
(+.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(+.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)) (+.f64 -1 (/.f64 -1 x)))
(+.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (*.f64 (+.f64 -1 (/.f64 -1 x)) 1) (*.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)) 1))
(-.f64 (pow.f64 x -2) 1)
(-.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (pow.f64 x -2) 1)) (/.f64 1 (+.f64 (pow.f64 x -2) 1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (*.f64 -1 (pow.f64 x -2))) (+.f64 -1 (pow.f64 (*.f64 x x) -3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) 1) (+.f64 (/.f64 1 (pow.f64 x 4)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x x) -3)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (*.f64 -1 (pow.f64 x -2))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x x) -3)) (+.f64 1 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x -2)))))
(/.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) -1) (+.f64 (pow.f64 x -2) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (-.f64 1 (pow.f64 x -2))) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 -1 (/.f64 -1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (-.f64 1 (pow.f64 x -2))) (*.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 -1 (pow.f64 x -3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) (-.f64 1 (pow.f64 x -2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (+.f64 -1 (pow.f64 x -3))) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (pow.f64 x -3))) (*.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) (-.f64 1 (pow.f64 x -2))) (*.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (+.f64 1 (/.f64 -1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (+.f64 1 (pow.f64 x -3))) (*.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 x x) -3))) (neg.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (*.f64 -1 (pow.f64 x -2)))))
(/.f64 (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) -1)) (neg.f64 (+.f64 (pow.f64 x -2) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3) (pow.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)) 3)) (fma.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 -1 (/.f64 -1 x)) (-.f64 (*.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)) (+.f64 (/.f64 1 x) (pow.f64 x -2))) (*.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (pow.f64 x -2))))))
(/.f64 (-.f64 1 (/.f64 1 (pow.f64 x 4))) (-.f64 -1 (pow.f64 x -2)))
(/.f64 (-.f64 (*.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 -1 (/.f64 -1 x))) (*.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))) (-.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -2))) (+.f64 -1 (/.f64 -1 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (+.f64 1 (pow.f64 x -3))) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (-.f64 1 (pow.f64 x -2))) (+.f64 1 (/.f64 -1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 (/.f64 1 x) -1)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (+.f64 (/.f64 1 x) -1)) (+.f64 1 (/.f64 -1 x)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x)))
(pow.f64 (+.f64 -1 (pow.f64 x -2)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 -1 (pow.f64 x -2))))
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2))) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))))) (sqrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))))
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 x)) 3) (pow.f64 (+.f64 (/.f64 1 x) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) (pow.f64 (+.f64 1 (/.f64 1 x)) 3)))
(expm1.f64 (log.f64 (pow.f64 x -2)))
(expm1.f64 (*.f64 (*.f64 2 (log.f64 x)) -1))
(expm1.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 x -2))))
(fma.f64 1 (+.f64 (/.f64 1 x) -1) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 1 (+.f64 (/.f64 1 x) -1) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 1 (pow.f64 x -2) -1)
(fma.f64 1 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
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(*.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 x))))
(*.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (hypot.f64 1 (pow.f64 x -1/2))) (hypot.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (*.f64 -1 (pow.f64 x -2))) (+.f64 -1 (pow.f64 (*.f64 x x) -3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) 1) (+.f64 (/.f64 1 (pow.f64 x 4)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x x) -3)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (*.f64 -1 (pow.f64 x -2))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x x) -3)) (+.f64 1 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x -2)))))
(/.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) -1) (+.f64 (pow.f64 x -2) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (-.f64 1 (pow.f64 x -2))) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 -1 (/.f64 -1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (-.f64 1 (pow.f64 x -2))) (*.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 -1 (pow.f64 x -3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) (-.f64 1 (pow.f64 x -2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (+.f64 -1 (pow.f64 x -3))) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (pow.f64 x -3))) (*.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) (-.f64 1 (pow.f64 x -2))) (*.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (+.f64 1 (/.f64 -1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (+.f64 1 (pow.f64 x -3))) (*.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 x x) -3))) (neg.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (*.f64 -1 (pow.f64 x -2)))))
(/.f64 (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) -1)) (neg.f64 (+.f64 (pow.f64 x -2) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3) (pow.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)) 3)) (fma.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 -1 (/.f64 -1 x)) (-.f64 (*.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)) (+.f64 (/.f64 1 x) (pow.f64 x -2))) (*.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (pow.f64 x -2))))))
(/.f64 (-.f64 1 (/.f64 1 (pow.f64 x 4))) (-.f64 -1 (pow.f64 x -2)))
(/.f64 (-.f64 (*.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 -1 (/.f64 -1 x))) (*.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))) (-.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -2))) (+.f64 -1 (/.f64 -1 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (+.f64 1 (pow.f64 x -3))) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 (/.f64 1 x) -1) (-.f64 1 (pow.f64 x -2))) (+.f64 1 (/.f64 -1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 (/.f64 1 x) -1)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (+.f64 (/.f64 1 x) -1)) (+.f64 1 (/.f64 -1 x)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 1 (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x)))
(pow.f64 (+.f64 -1 (pow.f64 x -2)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 -1 (pow.f64 x -2))))
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2))) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))))) (sqrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))))
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 x)) 3) (pow.f64 (+.f64 (/.f64 1 x) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) (pow.f64 (+.f64 1 (/.f64 1 x)) 3)))
(expm1.f64 (log.f64 (pow.f64 x -2)))
(expm1.f64 (*.f64 (*.f64 2 (log.f64 x)) -1))
(expm1.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 x -2))))
(fma.f64 1 (+.f64 (/.f64 1 x) -1) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 1 (+.f64 (/.f64 1 x) -1) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 1 (pow.f64 x -2) -1)
(fma.f64 1 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (/.f64 1 x) (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1) (+.f64 (/.f64 1 x) -1))
(fma.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 x) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (+.f64 1 (/.f64 1 x)) -1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 -1 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 -1 (*.f64 -1 (pow.f64 x -2)) -1)
(fma.f64 (+.f64 (/.f64 1 x) -1) 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (+.f64 (/.f64 1 x) -1) 1 (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x) (+.f64 (/.f64 1 x) -1))
(fma.f64 (pow.f64 x -2) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)) -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) -1) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) (/.f64 1 x)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 x)) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x)) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) -1) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) (/.f64 1 x)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (+.f64 -1 (pow.f64 x -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (+.f64 -1 (pow.f64 x -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (-.f64 1 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (/.f64 -1 x))) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (-.f64 1 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (/.f64 -1 x))) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (+.f64 -1 (/.f64 -1 x)) 1 (*.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)) 1))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (cbrt.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 x))) (cbrt.f64 (+.f64 -1 (/.f64 -1 x)))) (cbrt.f64 (+.f64 -1 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) -1)
(fma.f64 (hypot.f64 (/.f64 1 x) (pow.f64 x -1/2)) (hypot.f64 (/.f64 1 x) (pow.f64 x -1/2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 x))) (sqrt.f64 (+.f64 -1 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -2)) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x)) -1)
(fma.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) x) -1)
(fma.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) -1)
(fma.f64 (*.f64 (pow.f64 x -1/2) (hypot.f64 1 (pow.f64 x -1/2))) (*.f64 (pow.f64 x -1/2) (hypot.f64 1 (pow.f64 x -1/2))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) (pow.f64 x -1/2)) (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) (pow.f64 x -1/2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 x))) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (*.f64 -1 (hypot.f64 1 (pow.f64 x -1/2))) (hypot.f64 1 (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (/.f64 1 x) (hypot.f64 1 (pow.f64 x -1/2))) (hypot.f64 1 (pow.f64 x -1/2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2) (+.f64 -1 (/.f64 -1 x)))

simplify457.0ms (10.2%)

Algorithm
1×egg-herbie
Rules
794×fma-def
622×log-prod
516×associate-*r*
500×associate-*l*
496×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065424092
1169821404
2632721400
Stop Event
1×node limit
Counts
650 → 475
Calls
Call 1
Inputs
(*.f64 -2 (log.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
-1
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
-1
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(-.f64 (*.f64 -2 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x))) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x)))) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2 (log.f64 x))))) (*.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)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(*.f64 -2 (log.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 x)) 3) (pow.f64 (+.f64 (/.f64 1 x) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) (pow.f64 (+.f64 1 (/.f64 1 x)) 3)))
(expm1.f64 (log.f64 (pow.f64 x -2)))
(expm1.f64 (*.f64 (*.f64 2 (log.f64 x)) -1))
(expm1.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 x -2))))
(fma.f64 1 (+.f64 (/.f64 1 x) -1) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 1 (+.f64 (/.f64 1 x) -1) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 1 (pow.f64 x -2) -1)
(fma.f64 1 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (/.f64 1 x) (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1) (+.f64 (/.f64 1 x) -1))
(fma.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 x) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (+.f64 1 (/.f64 1 x)) -1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 -1 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 -1 (*.f64 -1 (pow.f64 x -2)) -1)
(fma.f64 (+.f64 (/.f64 1 x) -1) 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (+.f64 (/.f64 1 x) -1) 1 (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x) (+.f64 (/.f64 1 x) -1))
(fma.f64 (pow.f64 x -2) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)) -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) -1) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) (/.f64 1 x)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 x)) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x)) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) -1) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) (/.f64 1 x)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (+.f64 -1 (pow.f64 x -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (+.f64 -1 (pow.f64 x -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (-.f64 1 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (/.f64 -1 x))) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (-.f64 1 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (/.f64 -1 x))) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (+.f64 -1 (/.f64 -1 x)) 1 (*.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)) 1))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (cbrt.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 x))) (cbrt.f64 (+.f64 -1 (/.f64 -1 x)))) (cbrt.f64 (+.f64 -1 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) -1)
(fma.f64 (hypot.f64 (/.f64 1 x) (pow.f64 x -1/2)) (hypot.f64 (/.f64 1 x) (pow.f64 x -1/2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 x))) (sqrt.f64 (+.f64 -1 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -2)) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x)) -1)
(fma.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) x) -1)
(fma.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) -1)
(fma.f64 (*.f64 (pow.f64 x -1/2) (hypot.f64 1 (pow.f64 x -1/2))) (*.f64 (pow.f64 x -1/2) (hypot.f64 1 (pow.f64 x -1/2))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) (pow.f64 x -1/2)) (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) (pow.f64 x -1/2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 x))) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (*.f64 -1 (hypot.f64 1 (pow.f64 x -1/2))) (hypot.f64 1 (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (/.f64 1 x) (hypot.f64 1 (pow.f64 x -1/2))) (hypot.f64 1 (pow.f64 x -1/2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2) (+.f64 -1 (/.f64 -1 x)))
Outputs
(*.f64 -2 (log.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))
(fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x)))
(-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(-.f64 (log.f64 -1) (pow.f64 x -2))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6)))))
(-.f64 (-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(-.f64 (log.f64 -1) (pow.f64 x -2))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6)))))
(-.f64 (-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
-1
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
-1
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(-.f64 (*.f64 -2 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x))) (*.f64 -1 (log.f64 x)))
(+.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(-.f64 (neg.f64 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x)))) (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 (neg.f64 x) (neg.f64 (log.f64 x))))
(fma.f64 (*.f64 x x) -1/2 (-.f64 (neg.f64 x) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2 (log.f64 x))))) (*.f64 -1 (log.f64 x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2 (log.f64 x))))) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 x x) -1/2 (+.f64 (fma.f64 x -1 (*.f64 -1/3 (pow.f64 x 3))) (neg.f64 (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) (fma.f64 1/2 (pow.f64 x -2) (pow.f64 x -1)))
(-.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 (log.f64 -1) (+.f64 (/.f64 1/2 (*.f64 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) (pow.f64 x -1)) (/.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) (fma.f64 1/2 (pow.f64 x -2) (pow.f64 x -1)))
(-.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 (log.f64 -1) (+.f64 (/.f64 1/2 (*.f64 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) (pow.f64 x -1)) (/.f64 1/3 (pow.f64 x 3))))
(/.f64 1 x)
(pow.f64 x -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 -1 (/.f64 1 x))
(+.f64 -1 (pow.f64 x -1))
(-.f64 (/.f64 1 x) 1)
(+.f64 -1 (/.f64 1 x))
(+.f64 -1 (pow.f64 x -1))
(-.f64 (/.f64 1 x) 1)
(+.f64 -1 (/.f64 1 x))
(+.f64 -1 (pow.f64 x -1))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 -1 (/.f64 1 x))
(+.f64 -1 (pow.f64 x -1))
(-.f64 (/.f64 1 x) 1)
(+.f64 -1 (/.f64 1 x))
(+.f64 -1 (pow.f64 x -1))
(-.f64 (/.f64 1 x) 1)
(+.f64 -1 (/.f64 1 x))
(+.f64 -1 (pow.f64 x -1))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 -1 (/.f64 1 x))
(+.f64 -1 (pow.f64 x -1))
(-.f64 (/.f64 1 x) 1)
(+.f64 -1 (/.f64 1 x))
(+.f64 -1 (pow.f64 x -1))
(-.f64 (/.f64 1 x) 1)
(+.f64 -1 (/.f64 1 x))
(+.f64 -1 (pow.f64 x -1))
(*.f64 -2 (log.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))
(fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x)))
(-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(-.f64 (log.f64 -1) (pow.f64 x -2))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4)))
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(fma.f64 (hypot.f64 (/.f64 1 x) (pow.f64 x -1/2)) (hypot.f64 (/.f64 1 x) (pow.f64 x -1/2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (hypot.f64 (pow.f64 x -1) (pow.f64 x -1/2)) (hypot.f64 (pow.f64 x -1) (pow.f64 x -1/2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 x))) (sqrt.f64 (+.f64 -1 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) -1)
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)) -1)
(+.f64 -1 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 x)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -2)) -1)
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 (cbrt.f64 x) 2)) -1)
(+.f64 -1 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x)) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 1 (*.f64 (sqrt.f64 x) (cbrt.f64 x))) -1)
(+.f64 -1 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 x) (sqrt.f64 x))) (sqrt.f64 x)))
(fma.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) x) -1)
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(fma.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) -1)
(+.f64 -1 (/.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (*.f64 (pow.f64 x -1/2) (hypot.f64 1 (pow.f64 x -1/2))) (*.f64 (pow.f64 x -1/2) (hypot.f64 1 (pow.f64 x -1/2))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 x) (hypot.f64 1 (pow.f64 x -1/2))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (/.f64 (hypot.f64 1 (pow.f64 x -1/2)) x) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) (pow.f64 x -1/2)) (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) (pow.f64 x -1/2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 x) (hypot.f64 1 (pow.f64 x -1/2))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (/.f64 (hypot.f64 1 (pow.f64 x -1/2)) x) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -2) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(fma.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1) (*.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 x))) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(fma.f64 (*.f64 -1 (hypot.f64 1 (pow.f64 x -1/2))) (hypot.f64 1 (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (neg.f64 (hypot.f64 1 (pow.f64 x -1/2))) (+.f64 (/.f64 1 x) (pow.f64 x -2)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (neg.f64 (hypot.f64 1 (pow.f64 x -1/2))) (+.f64 (pow.f64 x -1) (pow.f64 x -2)))
(fma.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)) -1)
(+.f64 -1 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 x)))
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 x))) (+.f64 -1 (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))
(fma.f64 (*.f64 (/.f64 1 x) (hypot.f64 1 (pow.f64 x -1/2))) (hypot.f64 1 (pow.f64 x -1/2)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 x) (hypot.f64 1 (pow.f64 x -1/2))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (hypot.f64 1 (pow.f64 x -1/2)) (/.f64 (hypot.f64 1 (pow.f64 x -1/2)) x) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (cbrt.f64 x))) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (+.f64 1 (pow.f64 x -1)) (cbrt.f64 x)) (+.f64 -1 (/.f64 -1 x)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2) (+.f64 -1 (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) -1)
(+.f64 -1 (pow.f64 x -2))

eval261.0ms (5.9%)

Compiler

Compiled 10984 to 9033 computations (17.8% saved)

prune100.0ms (2.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4750475
Fresh000
Picked022
Done055
Total4757482
Accurracy
100.0%
Counts
482 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.6%
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓51.9%
(neg.f64 (-.f64 (log.f64 (+.f64 (/.f64 1 (*.f64 x x)) -1)) (log1p.f64 (/.f64 1 x))))
✓51.9%
(neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (log1p.f64 (/.f64 1 x))))
✓98.0%
(neg.f64 (neg.f64 (log.f64 x)))
✓51.9%
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓0.0%
(neg.f64 (log.f64 -1))
Compiler

Compiled 166 to 134 computations (19.3% saved)

regimes34.0ms (0.8%)

Counts
10 → 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 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
(neg.f64 (-.f64 (log.f64 (+.f64 (/.f64 1 (*.f64 x x)) -1)) (log1p.f64 (/.f64 1 x))))
(neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (log1p.f64 (/.f64 1 x))))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3))
(neg.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
Outputs
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
Calls

5 calls:

7.0ms
(/.f64 1 x)
6.0ms
(log.f64 (-.f64 (/.f64 1 x) 1))
6.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
6.0ms
(-.f64 (/.f64 1 x) 1)
5.0ms
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 121 to 96 computations (20.7% saved)

regimes25.0ms (0.6%)

Counts
7 → 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 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
(neg.f64 (-.f64 (log.f64 (+.f64 (/.f64 1 (*.f64 x x)) -1)) (log1p.f64 (/.f64 1 x))))
(neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))) (log1p.f64 (/.f64 1 x))))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
Calls

5 calls:

5.0ms
(log.f64 (-.f64 (/.f64 1 x) 1))
4.0ms
(/.f64 1 x)
4.0ms
(-.f64 (/.f64 1 x) 1)
4.0ms
(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 93 to 74 computations (20.4% 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
98.0%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:

2.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify62.0ms (1.4%)

Algorithm
1×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
02075
13875
26567
310167
413667
515667
617867
719667
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(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 (expm1.f64 (neg.f64 (log.f64 x)))))
(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 27 to 22 computations (18.5% saved)

soundness248.0ms (5.6%)

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

Compiled 80 to 59 computations (26.3% saved)

end0.0ms (0%)

preprocess36.0ms (0.8%)

Compiler

Compiled 62 to 46 computations (25.8% saved)

Profiling

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