Hyperbolic arc-cosine

Time bar (total: 5.0s)

analyze69.0ms (1.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
33.3%25%50%0%0%25%0%4
40%25%37.5%0%0%37.5%0%5
44.4%25%31.2%0%0%43.7%0%6
47.1%25%28.1%0%0%46.9%0%7
48.5%25%26.5%0%0%48.4%0%8
49.2%25%25.8%0%0%49.2%0%9
49.6%25%25.4%0%0%49.6%0%10
49.8%25%25.2%0%0%49.8%0%11
49.9%25%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.6s (51.4%)

Results
1.1s8256×body256valid
900.0ms4052×body2048invalid
402.0ms1992×body1024invalid
120.0ms1019×body512invalid
70.0ms1006×body256invalid
9.0ms11×body4096invalid
Bogosity

preprocess251.0ms (5%)

Algorithm
egg-herbie
Rules
1460×fma-def
1306×distribute-lft-out
1242×distribute-rgt-out--
1038×unsub-neg
938×sub-neg
Problems
135×No Errors
120×(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018100
14296
27596
317096
440296
591696
6169296
7321596
8426396
9491096
10520196
11550996
12565796
13573096
14594196
15670896
16688996
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
Compiler

Compiled 45 to 25 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize41.0ms (0.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
56.0%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@0
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@inf
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@0
(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms
x
@inf
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite113.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1018×unpow-prod-down
922×fma-def
694×log1p-expm1-u
694×expm1-log1p-u
622×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
115251
2205951
Stop Event
node limit
Counts
2 → 116
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))

simplify102.0ms (2%)

Algorithm
egg-herbie
Rules
584×log-prod
550×distribute-rgt-in
546×distribute-lft-in
522×sqr-pow
508×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04075894
19765725
231525387
Stop Event
node limit
Counts
140 → 222
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1/2 x) (+.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) x) (/.f64 1/8 (pow.f64 x 3))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (+.f64 (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1))) (log.f64 (sqrt.f64 -1))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (-.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (/.f64 -3/32 (pow.f64 x 4))) (/.f64 -5/96 (pow.f64 x 6))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 -1/2)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 3/8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 3/8))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/12) (pow.f64 (fma.f64 x x -1) 5/12))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(sqrt.f64 (fma.f64 x x -1))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
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(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))

eval89.0ms (1.8%)

Compiler

Compiled 3852 to 2931 computations (23.9% saved)

prune29.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2193222
Fresh000
Picked011
Done000
Total2194223
Accuracy
100.0%
Counts
223 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(+.f64 (log.f64 2) (log.f64 x))
99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.7%
(log.f64 (+.f64 x x))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.7%
(log.f64 (+.f64 x x))
Compiler

Compiled 60 to 42 computations (30% saved)

localize73.0ms (1.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.8%
(+.f64 (log.f64 2) (log.f64 x))
99.6%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
99.6%
(log.f64 (+.f64 x x))
Compiler

Compiled 46 to 26 computations (43.5% saved)

series96.0ms (1.9%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
24.0ms
x
@0
(log.f64 (+.f64 x x))
18.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
16.0ms
x
@-inf
(log.f64 (+.f64 x x))
6.0ms
x
@inf
(log.f64 (+.f64 x x))

rewrite85.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1125×log1p-expm1-u
979×expm1-log1p-u
340×expm1-udef
338×log1p-udef
140×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01757
124245
2370745
Stop Event
node limit
Counts
3 → 106
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
Outputs
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 0 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0)))) (log.f64 (+.f64 0 (/.f64 0 0))))
(*.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
(*.f64 1 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(exp.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 1))
(log1p.f64 (-.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))

simplify25.0ms (0.5%)

Algorithm
egg-herbie
Rules
48×sub-neg
46×sqr-pow
44×+-commutative
40×*-commutative
24×unpow2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02162763
16482763
Stop Event
unsound
Counts
138 → 107
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 0 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0)))) (log.f64 (+.f64 0 (/.f64 0 0))))
(*.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
(*.f64 1 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(exp.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 1))
(log1p.f64 (-.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) -1))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) -1))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -64/3 (pow.f64 x 6) (+.f64 (neg.f64 (log.f64 x)) -1)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1 (pow.f64 x 6)) -1)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x)))) -1)
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x)))) -1)
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 -1 (pow.f64 x 6)) -1))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
-1
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 0 (log.f64 (/.f64 0 0)))
-1
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
-1
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
-1
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(+.f64 (log.f64 (*.f64 2 (neg.f64 x))) -1)
(-.f64 (log.f64 0) (log.f64 0))
-1
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 (/.f64 -1 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
-1
(*.f64 1 (log.f64 (/.f64 0 0)))
-1
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
-1
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
-1
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (/.f64 -1 (+.f64 -1 (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 (neg.f64 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (/.f64 -1 (+.f64 -1 (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(*.f64 (neg.f64 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (+.f64 -1 (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (-.f64 -1 (*.f64 (log.f64 2) (log.f64 x))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1))) (+.f64 -1 (neg.f64 (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (log.f64 (/.f64 2 x))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(/.f64 -1 (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
-1
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
-1
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
-1
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
-1
(neg.f64 (log.f64 (/.f64 0 0)))
-1
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(sqrt.f64 -1)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
-1
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
-1
(log1p.f64 (-.f64 (/.f64 0 0) 1))
-1
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 -1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 -1 (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 0 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-1
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-1
(+.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(*.f64 2 (log.f64 (sqrt.f64 -1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))) 1)
-1
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(-.f64 (log.f64 (+.f64 (neg.f64 x) (pow.f64 (+.f64 x -1) 3))) (log.f64 (+.f64 -1 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 -1 x))))))
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) (+.f64 0 (/.f64 0 0)))) (log.f64 (+.f64 0 (/.f64 0 0))))
-1
(*.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
-1
(*.f64 1 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
-1
(*.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-1
(*.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-1
(pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
-1
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 3)
-1
(pow.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3) 1/3)
-1
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2)
-1
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2))
(sqrt.f64 -1)
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3))
-1
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-1
(exp.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
-1
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 1))
-1
(log1p.f64 (-.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1))
-1
(-.f64 0 (log.f64 (/.f64 0 0)))
-1
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
-1
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(+.f64 (log.f64 (*.f64 2 (neg.f64 x))) -1)
(-.f64 (log.f64 0) (log.f64 0))
-1
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 (/.f64 -1 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
-1
(*.f64 1 (log.f64 (/.f64 0 0)))
-1
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
-1
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
-1
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (/.f64 -1 (+.f64 -1 (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 (neg.f64 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (/.f64 -1 (+.f64 -1 (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(*.f64 (neg.f64 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (+.f64 -1 (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (-.f64 -1 (*.f64 (log.f64 2) (log.f64 x))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1))) (+.f64 -1 (neg.f64 (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (log.f64 (/.f64 2 x))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(/.f64 -1 (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
-1
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
-1
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
-1
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
-1
(neg.f64 (log.f64 (/.f64 0 0)))
-1
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(sqrt.f64 -1)
(log.f64 (/.f64 0 0))
-1
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
-1
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
-1
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
-1
(log1p.f64 (-.f64 (/.f64 0 0) 1))
-1
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 -1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 -1 (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))

eval29.0ms (0.6%)

Compiler

Compiled 1308 to 1105 computations (15.5% saved)

prune16.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1052107
Fresh000
Picked033
Done011
Total1056111
Accuracy
100.0%
Counts
111 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.7%
(log.f64 (+.f64 x x))
1.6%
-1
98.2%
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.7%
(log.f64 (+.f64 x x))
1.6%
-1
Compiler

Compiled 116 to 88 computations (24.1% saved)

localize157.0ms (3.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.4%
(*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))
98.9%
(pow.f64 (log.f64 x) 3)
98.4%
(pow.f64 (log.f64 2) 3)
98.4%
(pow.f64 (log.f64 2) 2)
Compiler

Compiled 105 to 77 computations (26.7% saved)

series4.0ms (0.1%)

Counts
4 → 16
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))
1.0ms
x
@-inf
(pow.f64 (log.f64 x) 3)
1.0ms
x
@0
(pow.f64 (log.f64 x) 3)
1.0ms
x
@inf
(pow.f64 (log.f64 x) 3)
0.0ms
x
@inf
(*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))

rewrite78.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1382×prod-diff
824×fma-def
780×log-prod
736×log1p-expm1-u
736×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01563
118563
2225463
Stop Event
node limit
Counts
4 → 107
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 2)
(pow.f64 (log.f64 2) 3)
(pow.f64 (log.f64 x) 3)
(*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))
Outputs
(+.f64 0 (pow.f64 (log1p.f64 1) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 2 (log1p.f64 1))) (cbrt.f64 (pow.f64 2 (log1p.f64 1))))) (log.f64 (cbrt.f64 (pow.f64 2 (log1p.f64 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (log1p.f64 1)))) (log.f64 (sqrt.f64 (pow.f64 2 (log1p.f64 1)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 2))) 1)
(*.f64 (log1p.f64 1) (log1p.f64 1))
(*.f64 (pow.f64 (log1p.f64 1) 2) 1)
(*.f64 1 (pow.f64 (log1p.f64 1) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (pow.f64 (log1p.f64 1) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) (log1p.f64 1)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 1) 4)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (sqrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 3/2))
(*.f64 (pow.f64 (log1p.f64 1) 3/2) (sqrt.f64 (log1p.f64 1)))
(*.f64 (*.f64 (log1p.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) (cbrt.f64 (log1p.f64 1)))
(sqrt.f64 (pow.f64 (log1p.f64 1) 4))
(log.f64 (pow.f64 2 (log1p.f64 1)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 1) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 1) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 1))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 1) 2)))
(+.f64 0 (pow.f64 (log1p.f64 1) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 3))) 1)
(*.f64 (log1p.f64 1) (pow.f64 (log1p.f64 1) 2))
(*.f64 (pow.f64 (log1p.f64 1) 2) (log1p.f64 1))
(*.f64 (pow.f64 (log1p.f64 1) 3) 1)
(*.f64 1 (pow.f64 (log1p.f64 1) 3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 1) 4)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (log1p.f64 1)))
(*.f64 (sqrt.f64 (log1p.f64 1)) (*.f64 (sqrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (pow.f64 (log1p.f64 1) 3/2) (pow.f64 (log1p.f64 1) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 1)) 3) (pow.f64 (sqrt.f64 (log1p.f64 1)) 3))
(*.f64 (*.f64 (log1p.f64 1) (cbrt.f64 (pow.f64 (log1p.f64 1) 4))) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) (cbrt.f64 (log1p.f64 1)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (sqrt.f64 (log1p.f64 1))) (sqrt.f64 (log1p.f64 1)))
(sqrt.f64 (pow.f64 (log1p.f64 1) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 1) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 1) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 1))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 1) 3)))
(+.f64 0 (pow.f64 (log.f64 x) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 3))) 1)
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (log.f64 x) 3) 1)
(*.f64 (pow.f64 (log.f64 x) 2) (log.f64 x))
(*.f64 1 (pow.f64 (log.f64 x) 3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 3) (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (pow.f64 (sqrt.f64 (log.f64 x)) 3))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) 1) (log.f64 x))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 x) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 3)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 0 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (log.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 x (log.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 (log.f64 x) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))) (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2)))
(/.f64 (*.f64 (log.f64 x) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2))) (log.f64 (*.f64 x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (log.f64 x)) (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (log.f64 x)) (log.f64 (*.f64 x 2)))
(pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 x 1/2)) 3) (pow.f64 (log.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (-.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))) 1))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))

simplify98.0ms (1.9%)

Algorithm
egg-herbie
Rules
1822×fma-def
1638×fma-neg
994×distribute-lft-in
906×distribute-rgt-in
848×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02563955
14993296
215513121
379313121
Stop Event
node limit
Counts
123 → 148
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 2)))
(+.f64 0 (pow.f64 (log1p.f64 1) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 2 (log1p.f64 1))) (cbrt.f64 (pow.f64 2 (log1p.f64 1))))) (log.f64 (cbrt.f64 (pow.f64 2 (log1p.f64 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (log1p.f64 1)))) (log.f64 (sqrt.f64 (pow.f64 2 (log1p.f64 1)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 2))) 1)
(*.f64 (log1p.f64 1) (log1p.f64 1))
(*.f64 (pow.f64 (log1p.f64 1) 2) 1)
(*.f64 1 (pow.f64 (log1p.f64 1) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (pow.f64 (log1p.f64 1) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) (log1p.f64 1)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 1) 4)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (sqrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 3/2))
(*.f64 (pow.f64 (log1p.f64 1) 3/2) (sqrt.f64 (log1p.f64 1)))
(*.f64 (*.f64 (log1p.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) (cbrt.f64 (log1p.f64 1)))
(sqrt.f64 (pow.f64 (log1p.f64 1) 4))
(log.f64 (pow.f64 2 (log1p.f64 1)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 1) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 1) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 1))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 1) 2)))
(+.f64 0 (pow.f64 (log1p.f64 1) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 3))) 1)
(*.f64 (log1p.f64 1) (pow.f64 (log1p.f64 1) 2))
(*.f64 (pow.f64 (log1p.f64 1) 2) (log1p.f64 1))
(*.f64 (pow.f64 (log1p.f64 1) 3) 1)
(*.f64 1 (pow.f64 (log1p.f64 1) 3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 1) 4)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (log1p.f64 1)))
(*.f64 (sqrt.f64 (log1p.f64 1)) (*.f64 (sqrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (pow.f64 (log1p.f64 1) 3/2) (pow.f64 (log1p.f64 1) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 1)) 3) (pow.f64 (sqrt.f64 (log1p.f64 1)) 3))
(*.f64 (*.f64 (log1p.f64 1) (cbrt.f64 (pow.f64 (log1p.f64 1) 4))) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) (cbrt.f64 (log1p.f64 1)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (sqrt.f64 (log1p.f64 1))) (sqrt.f64 (log1p.f64 1)))
(sqrt.f64 (pow.f64 (log1p.f64 1) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 1) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 1) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 1))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 1) 3)))
(+.f64 0 (pow.f64 (log.f64 x) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 3))) 1)
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (log.f64 x) 3) 1)
(*.f64 (pow.f64 (log.f64 x) 2) (log.f64 x))
(*.f64 1 (pow.f64 (log.f64 x) 3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 3) (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (pow.f64 (sqrt.f64 (log.f64 x)) 3))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) 1) (log.f64 x))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 x) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 3)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 0 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (log.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 x (log.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 (log.f64 x) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))) (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2)))
(/.f64 (*.f64 (log.f64 x) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2))) (log.f64 (*.f64 x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (log.f64 x)) (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (log.f64 x)) (log.f64 (*.f64 x 2)))
(pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 x 1/2)) 3) (pow.f64 (log.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (-.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))) 1))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
Outputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
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(/.f64 (*.f64 (log.f64 x) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))) (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2)) (log.f64 x)))
(*.f64 (/.f64 (log.f64 x) (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)))
(*.f64 (log.f64 x) (/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2))))
(/.f64 (*.f64 (log.f64 x) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2))) (log.f64 (*.f64 x 2)))
(/.f64 (log.f64 x) (/.f64 (log.f64 (*.f64 x 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2))))
(*.f64 (/.f64 (log.f64 x) (log.f64 (*.f64 x 2))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (log.f64 x) (/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (log.f64 (*.f64 x 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (log.f64 x)) (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2)) (log.f64 x)))
(*.f64 (/.f64 (log.f64 x) (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)))
(*.f64 (log.f64 x) (/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (log.f64 (*.f64 x 2)) (pow.f64 (log.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (log.f64 x)) (log.f64 (*.f64 x 2)))
(/.f64 (log.f64 x) (/.f64 (log.f64 (*.f64 x 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2))))
(*.f64 (/.f64 (log.f64 x) (log.f64 (*.f64 x 2))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (log.f64 x) (/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (log.f64 (*.f64 x 2))))
(pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 1)
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 3)
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3) 1/3)
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2)
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))) 1)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 x 1/2)) 3)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 x 1/2)) 3) (pow.f64 (log.f64 x) 3)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 1))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (pow.f64 x (log.f64 (*.f64 x 1/2))) 1))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log.f64 1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)))))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (log.f64 x) (log.f64 1/2) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (log.f64 x) (log.f64 1/2) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (log.f64 x) (log.f64 1/2) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (log.f64 x) (log.f64 1/2) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (log.f64 1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)))))
(fma.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)))))

eval102.0ms (2%)

Compiler

Compiled 4547 to 3564 computations (21.6% saved)

prune24.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1471148
Fresh011
Picked101
Done044
Total1486154
Accuracy
100.0%
Counts
154 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.7%
(log.f64 (+.f64 x x))
1.6%
-1
98.0%
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.7%
(log.f64 (+.f64 x x))
1.6%
-1
Compiler

Compiled 114 to 88 computations (22.8% saved)

localize153.0ms (3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.4%
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
98.9%
(pow.f64 (log.f64 x) 3)
98.4%
(pow.f64 (log.f64 2) 3)
98.4%
(pow.f64 (log.f64 2) 2)
Compiler

Compiled 104 to 80 computations (23.1% saved)

series31.0ms (0.6%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
11.0ms
x
@0
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
8.0ms
x
@inf
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))

rewrite59.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
714×unpow-prod-down
502×log-prod
488×cbrt-prod
411×log1p-expm1-u
411×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
110027
2113727
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
Outputs
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 0 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (-.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)) 1))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log.f64 1/2) (log.f64 x)))

simplify72.0ms (1.4%)

Algorithm
egg-herbie
Rules
1108×log-prod
1002×distribute-lft-neg-out
898×associate-*r*
800×associate-*l*
672×distribute-rgt-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01121621
12541553
27261553
344391489
Stop Event
node limit
Counts
49 → 49
Calls
Call 1
Inputs
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 0 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (-.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)) 1))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
Outputs
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1/2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1/2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1/2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1/2)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(*.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(+.f64 0 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 1)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 1)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 3)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2) 1/2)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) 2)
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(pow.f64 (E.f64) (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 2))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 3))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))) 3)) 1/3))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2))))) 2))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)) 1))
(log1p.f64 (+.f64 (pow.f64 (*.f64 x 1/2) (log.f64 x)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (*.f64 x 1/2) (log.f64 x))))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 1 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4) (*.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) (*.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))

eval93.0ms (1.8%)

Compiler

Compiled 4097 to 3283 computations (19.9% saved)

prune40.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done044
Total1406146
Accuracy
100.0%
Counts
146 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.7%
(log.f64 (+.f64 x x))
1.6%
-1
Compiler

Compiled 134 to 101 computations (24.6% saved)

regimes17.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 x 1/2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Calls

3 calls:

5.0ms
x
5.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 98 to 71 computations (27.6% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes29.0ms (0.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

28.0ms
x
Results
AccuracySegmentsBranch
1.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
neg-mul-1
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01450
11750
22350
32750
43050
53150
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
-1
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
-1
Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness434.0ms (8.6%)

Rules
1125×log1p-expm1-u
979×expm1-log1p-u
584×log-prod
550×distribute-rgt-in
546×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04075894
19765725
231525387
01757
124245
2370745
02162763
16482763
Stop Event
unsound
node limit
node limit
Compiler

Compiled 55 to 28 computations (49.1% saved)

end0.0ms (0%)

preprocess29.0ms (0.6%)

Compiler

Compiled 48 to 32 computations (33.3% saved)

Profiling

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