Hyperbolic arc-cosine

Time bar (total: 4.8s)

analyze74.0ms (1.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
16.7%12.5%62.5%0%0%25%0%4
30%18.7%43.7%0%0%37.5%0%5
38.9%21.9%34.4%0%0%43.7%0%6
44.1%23.4%29.7%0%0%46.9%0%7
47%24.2%27.3%0%0%48.4%0%8
48.5%24.6%26.2%0%0%49.2%0%9
49.2%24.8%25.6%0%0%49.6%0%10
49.6%24.9%25.3%0%0%49.8%0%11
49.8%24.9%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.6s (32.7%)

Results
926.0ms8256×body256valid
621.0ms8317×body256invalid
Bogosity

preprocess266.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
1468×fma-def
1306×distribute-lft-out
1142×distribute-rgt-out--
1104×unsub-neg
942×sub-neg
Problems
132×(sqrt.f64 (-.f64 (*.f64 x x) 1))
123×No Errors
1×(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
145132
280132
3176132
4413132
5927132
61717132
73268132
84304132
94964132
105266132
115551132
125698132
135771132
145982132
156749132
167234132
Stop Event
1×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))))
(neg.f64 (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))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (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
▶49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize44.0ms (0.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓99.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓51.7%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(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
(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))

rewrite131.0ms (2.7%)

Algorithm
1×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
01279
115279
2205979
Stop Event
1×node limit
Counts
3 → 208
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.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))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (pow.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(/.f64 1 (/.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 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.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))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.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))))))
(pow.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))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (exp.f64 1) (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))
(pow.f64 (pow.f64 (exp.f64 1) (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))))))
(pow.f64 (pow.f64 (exp.f64 1) (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))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.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)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.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)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)

simplify123.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
984×log-prod
712×exp-prod
640×fma-neg
616×cube-prod
580×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059611157
1146610833
2481210743
Stop Event
1×node limit
Counts
244 → 346
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)))))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
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(*.f64 (pow.f64 1 1/3) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(/.f64 1 (/.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 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.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))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.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))))))
(pow.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))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (exp.f64 1) (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))
(pow.f64 (pow.f64 (exp.f64 1) (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))))))
(pow.f64 (pow.f64 (exp.f64 1) (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))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.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)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.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)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (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 (*.f64 1/2 (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 (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 (*.f64 1/2 (pow.f64 x 2)) (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
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 1/8 (pow.f64 x 3))) (/.f64 -1/2 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 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.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 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (-.f64 (/.f64 1/2 x) 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)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (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 (*.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 (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 (+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.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 (-.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.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))))
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(+.f64 x (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)) x)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)) x)

eval160.0ms (3.3%)

Compiler

Compiled 6211 to 4636 computations (25.4% saved)

prune47.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3433346
Fresh000
Picked011
Done000
Total3434347
Accuracy
100.0%
Counts
347 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(+.f64 (log.f64 2) (log.f64 x))
▶99.1%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶98.8%
(log.f64 (+.f64 x x))
▶98.8%
(+.f64 (log.f64 2) (log.f64 x))
▶99.1%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶98.8%
(log.f64 (+.f64 x x))
Compiler

Compiled 60 to 44 computations (26.7% saved)

localize74.0ms (1.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.7%
(+.f64 (log.f64 2) (log.f64 x))
✓99.6%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓99.6%
(log.f64 (+.f64 x x))
Compiler

Compiled 45 to 28 computations (37.8% saved)

series97.0ms (2%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
24.0ms
x
@0
(log.f64 (+.f64 x x))
22.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
16.0ms
x
@-inf
(log.f64 (+.f64 x x))
15.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
13.0ms
x
@inf
(+.f64 (log.f64 2) (log.f64 x))

rewrite84.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1280×fma-def
843×log1p-expm1-u
843×expm1-log1p-u
736×log-prod
620×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01757
123645
2322641
Stop Event
1×node limit
Counts
3 → 186
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (/.f64 0 0))))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 (*.f64 2 (/.f64 0 0))))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (/.f64 0 0)) 0)
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (*.f64 (cbrt.f64 x) 2)))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (cbrt.f64 2)))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) 2)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 x 2)) (log.f64 4))
(+.f64 (log.f64 (pow.f64 x 3)) (log.f64 8))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 1 x) (/.f64 0 0))))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 4) (log.f64 (pow.f64 x 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 8) (log.f64 (pow.f64 x 3)))
(+.f64 (log.f64 1/8) (log.f64 (pow.f64 (/.f64 1 x) 3)))
(+.f64 (log.f64 (cbrt.f64 1/2)) (log.f64 (cbrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 1/2)) (log.f64 (sqrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/4) (log.f64 (*.f64 (/.f64 1 x) (/.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (/.f64 0 0) 3/2)) (log.f64 (pow.f64 (/.f64 0 0) 3/2)))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) x)) (log.f64 2))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 1/2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.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 1/2) (log.f64 x))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 (log.f64 (/.f64 0 0)) 3)
(*.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 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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)) (log.f64 (/.f64 x 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 (fma.f64 x 2 -1))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(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))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(+.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 0)
(+.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (log.f64 (/.f64 1 (fma.f64 x 2 (tanh.f64 (log.f64 (/.f64 0 0)))))))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(+.f64 0 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(+.f64 (log.f64 (fma.f64 x 2 (tanh.f64 (log.f64 (/.f64 0 0))))) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(-.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(-.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (log.f64 (fma.f64 x 2 (tanh.f64 (log.f64 (/.f64 0 0))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))) 1)
(*.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1)
(*.f64 1 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(*.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(*.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 1))
(log1p.f64 (-.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 1))
(fma.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(fma.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1 (neg.f64 (log.f64 (fma.f64 x 2 (tanh.f64 (log.f64 (/.f64 0 0)))))))
(fma.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1 (neg.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(fma.f64 1 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(fma.f64 1 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (neg.f64 (log.f64 (fma.f64 x 2 (tanh.f64 (log.f64 (/.f64 0 0)))))))
(fma.f64 1 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (neg.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(fma.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(fma.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (neg.f64 (log.f64 (fma.f64 x 2 (tanh.f64 (log.f64 (/.f64 0 0)))))))
(fma.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (neg.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (neg.f64 (log.f64 (fma.f64 x 2 (tanh.f64 (log.f64 (/.f64 0 0)))))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (neg.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(fma.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(fma.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (neg.f64 (log.f64 (fma.f64 x 2 (tanh.f64 (log.f64 (/.f64 0 0)))))))
(fma.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (neg.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.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 1/2) (log.f64 x))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 (log.f64 (/.f64 0 0)) 3)
(*.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 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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)) (log.f64 (/.f64 x 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 (fma.f64 x 2 -1)))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (*.f64 (/.f64 0 0) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (/.f64 0 0)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (/.f64 1/2 (+.f64 1 (-.f64 x 1))))
(log.f64 (/.f64 1 (+.f64 1 (fma.f64 x 2 -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 (fma.f64 x 2 -1))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(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))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))

simplify35.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
90×+-commutative
72×fma-udef
54×*-commutative
52×sqr-pow
40×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03473975
19653975
Stop Event
1×unsound
Counts
218 → 196
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
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(+.f64 (log.f64 2) (log.f64 x))
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(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 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)))
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(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
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(fma.f64 (log.f64 x) 1 (log.f64 2))
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(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
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(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (neg.f64 (log.f64 (fma.f64 x 2 (tanh.f64 (log.f64 (/.f64 0 0)))))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (neg.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(fma.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(fma.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (neg.f64 (log.f64 (fma.f64 x 2 (tanh.f64 (log.f64 (/.f64 0 0)))))))
(fma.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (neg.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.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 1/2) (log.f64 x))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 (log.f64 (/.f64 0 0)) 3)
(*.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 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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)) (log.f64 (/.f64 x 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 (fma.f64 x 2 -1)))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (*.f64 (/.f64 0 0) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (/.f64 0 0)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (/.f64 1/2 (+.f64 1 (-.f64 x 1))))
(log.f64 (/.f64 1 (+.f64 1 (fma.f64 x 2 -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 (fma.f64 x 2 -1))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(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))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
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 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(+.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 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(+.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) (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 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
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(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
(-.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 (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 (+.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))))
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(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
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(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
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(+.f64 (log.f64 2) (log.f64 x))
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(log.f64 (*.f64 2 (neg.f64 x)))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 (*.f64 2 (/.f64 0 0))))
(log.f64 (neg.f64 x))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
-1
(+.f64 (log.f64 (/.f64 0 0)) 0)
-1
(+.f64 0 (log.f64 (/.f64 0 0)))
-1
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 -1 (log.f64 (*.f64 2 (cbrt.f64 x))))
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(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 -1 (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) 2)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x x 0))))
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-1
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 (neg.f64 x))))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 x 2)) (log.f64 4))
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(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 1 x) (/.f64 0 0))))
(-.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (cbrt.f64 2)))
(+.f64 (log.f64 4) (log.f64 (pow.f64 x 2)))
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(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 8) (log.f64 (pow.f64 x 3)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 8))
(+.f64 (log.f64 1/8) (log.f64 (pow.f64 (/.f64 1 x) 3)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 1/8))
(+.f64 (log.f64 (cbrt.f64 1/2)) (log.f64 (cbrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 1/2)) (log.f64 (cbrt.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (sqrt.f64 1/2)) (log.f64 (sqrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 1/2)) (log.f64 (sqrt.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/4) (log.f64 (*.f64 (/.f64 1 x) (/.f64 1 x))))
(+.f64 (log.f64 1/4) (log.f64 (/.f64 (/.f64 -1 x) x)))
(+.f64 (log.f64 (pow.f64 (/.f64 0 0) 3/2)) (log.f64 (pow.f64 (/.f64 0 0) 3/2)))
-1
(+.f64 (log.f64 (*.f64 (/.f64 0 0) x)) (log.f64 2))
(log.f64 (*.f64 2 (neg.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 2)) (log.f64 x))
(log.f64 (neg.f64 x))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 1/2)) (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 -1 (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 2 (sqrt.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 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(+.f64 -1 (log.f64 (*.f64 2 (neg.f64 x))))
(-.f64 (log.f64 0) (log.f64 0))
-1
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.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 1/2) (log.f64 x))
(*.f64 (log.f64 (/.f64 0 0)) 1)
-1
(*.f64 (log.f64 (/.f64 0 0)) 3)
-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 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (/.f64 -1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) -1)))
(*.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 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
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(fma.f64 (cbrt.f64 (log.f64 2)) -1 (log.f64 x))
(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 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
-1
(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))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (/.f64 -1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) -1)) -1)
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (neg.f64 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))) -1)

eval57.0ms (1.2%)

Compiler

Compiled 2207 to 1867 computations (15.4% saved)

prune27.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1933196
Fresh000
Picked033
Done011
Total1937200
Accuracy
100.0%
Counts
200 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(+.f64 (log.f64 2) (log.f64 x))
▶29.4%
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
▶13.7%
(+.f64 -1 (log.f64 4))
✓99.1%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.8%
(log.f64 (+.f64 x x))
1.6%
-1
✓98.8%
(+.f64 (log.f64 2) (log.f64 x))
▶29.4%
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
▶13.7%
(+.f64 -1 (log.f64 4))
✓99.1%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.8%
(log.f64 (+.f64 x x))
1.6%
-1
Compiler

Compiled 88 to 70 computations (20.5% saved)

localize50.0ms (1.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
✓98.4%
(+.f64 -1 (log.f64 4))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series0.0ms (0%)

Counts
2 → 12
Calls

3 calls:

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

rewrite59.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
874×unpow-prod-down
634×log1p-expm1-u
634×expm1-log1p-u
578×prod-diff
556×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422
117422
2206522
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(+.f64 -1 (log.f64 4))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
Outputs
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
9
16
27
64
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
9
16
27
64

simplify183.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
3288×fma-neg
1996×fma-def
1426×distribute-rgt-in
1394×distribute-lft-in
768×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045222
163222
286222
3160222
4313222
5842222
62298222
74638222
85107222
95245222
105289222
115294222
125294222
136521222
146994222
157611222
Stop Event
1×node limit
Counts
66 → 31
Calls
Call 1
Inputs
(-.f64 (log.f64 x) 1)
(-.f64 (log.f64 x) 1)
(-.f64 (log.f64 x) 1)
(-.f64 (log.f64 x) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
9
16
27
64
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
9
16
27
64
Outputs
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
9
16
27
64
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
9
16
27
64

eval4.0ms (0.1%)

Compiler

Compiled 55 to 50 computations (9.1% saved)

prune10.0ms (0.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New23831
Fresh101
Picked202
Done044
Total261238
Accuracy
100.0%
Counts
38 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶29.4%
(-.f64 (log.f64 x) 1)
✓98.8%
(+.f64 (log.f64 2) (log.f64 x))
✓99.1%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.8%
(log.f64 (+.f64 x x))
17.4%
64
16.3%
27
15.8%
16
15.3%
9
15.0%
6
14.6%
3
14.3%
3/2
▶29.4%
(-.f64 (log.f64 x) 1)
✓98.8%
(+.f64 (log.f64 2) (log.f64 x))
✓99.1%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.8%
(log.f64 (+.f64 x x))
17.4%
64
16.3%
27
15.8%
16
15.3%
9
15.0%
6
14.6%
3
14.3%
3/2
Compiler

Compiled 98 to 80 computations (18.4% saved)

localize24.0ms (0.5%)

Localize:

Found 1 expressions with local error:

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

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts
1 → 8
Calls

3 calls:

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

rewrite52.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
928×frac-times
436×unpow-prod-down
314×log1p-expm1-u
314×expm1-log1p-u
296×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
17714
290314
Stop Event
1×node limit
Counts
1 → 71
Calls
Call 1
Inputs
(-.f64 (log.f64 x) 1)
Outputs
(+.f64 (log.f64 x) -1)
(+.f64 (log.f64 x) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 (log.f64 x) -1))
(+.f64 -1 (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (E.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 x (E.f64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (E.f64)))) (log.f64 (sqrt.f64 (/.f64 x (E.f64)))))
(*.f64 1 (+.f64 (log.f64 x) -1))
(*.f64 (+.f64 (log.f64 x) -1) 1)
(*.f64 (+.f64 (log.f64 x) -1) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2) (cbrt.f64 (+.f64 (log.f64 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) (sqrt.f64 (+.f64 (log.f64 x) -1)))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (/.f64 1 (+.f64 (log.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 1/4) (sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) 1) (-.f64 (sqrt.f64 (log.f64 x)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 x) -1))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (log.f64 x) -1) (cbrt.f64 (+.f64 (log.f64 x) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (log.f64 x) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 5/2) 1/3) (pow.f64 (+.f64 (log.f64 x) -1) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (log.f64 x) -1) (cbrt.f64 (+.f64 (log.f64 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (log.f64 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 5/2)) (pow.f64 (+.f64 (log.f64 x) -1) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3/2)) (pow.f64 (+.f64 (log.f64 x) -1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 5)) (pow.f64 (+.f64 (log.f64 x) -1) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (+.f64 (pow.f64 (log.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (neg.f64 (+.f64 (log.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (+.f64 (pow.f64 (log.f64 x) 3) -1))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (+.f64 (pow.f64 (log.f64 x) 2) -1))) (cbrt.f64 (+.f64 (log.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (pow.f64 (log.f64 x) 2) -1))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (+.f64 (log.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (pow.f64 (log.f64 x) 3) -1))) (sqrt.f64 (*.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (log.f64 x) -1) (+.f64 (pow.f64 (log.f64 x) 3) -1))) (hypot.f64 (log.f64 x) (sqrt.f64 (+.f64 (log.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (log.f64 x) -1) (+.f64 (pow.f64 (log.f64 x) 2) -1))) (sqrt.f64 (+.f64 (log.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (log.f64 x) -1))) (hypot.f64 (log.f64 x) (sqrt.f64 (+.f64 (log.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) -1))) (sqrt.f64 (+.f64 (log.f64 x) 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))) (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) 1)) (pow.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (+.f64 (log.f64 x) 1)) (pow.f64 (+.f64 (log.f64 x) 1) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 4) 1) 1) (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) 1) (+.f64 (log.f64 x) 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 x) 1)) (hypot.f64 (log.f64 x) (sqrt.f64 (+.f64 (log.f64 x) 1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1))) (*.f64 (hypot.f64 (log.f64 x) (sqrt.f64 (+.f64 (log.f64 x) 1))) (sqrt.f64 (+.f64 (log.f64 x) 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 9) 1) 1) (*.f64 (+.f64 (pow.f64 (log.f64 x) 6) (+.f64 1 (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 6) 1) 1) (*.f64 (+.f64 (pow.f64 (log.f64 x) 4) (+.f64 1 (pow.f64 (log.f64 x) 2))) (+.f64 (log.f64 x) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 6) 1) 1) (*.f64 (+.f64 (pow.f64 (log.f64 x) 3) 1) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(pow.f64 (+.f64 (log.f64 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 (log.f64 x) -1)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (+.f64 (pow.f64 (log.f64 x) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log.f64 x) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (log.f64 x) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log.f64 x) -1)))) (sqrt.f64 (log.f64 (+.f64 (log.f64 x) -1))))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2))
(fabs.f64 (+.f64 (log.f64 x) -1))
(log.f64 (/.f64 x (E.f64)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3))
(expm1.f64 (log.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (log.f64 x) -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log.f64 x) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (log.f64 x) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 x) -1))) 2))
(log1p.f64 (fma.f64 x (exp.f64 -1) -1))
(fma.f64 (log.f64 x) 1 -1)
(fma.f64 1 (log.f64 x) -1)
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) -1)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -1)

simplify96.0ms (2%)

Algorithm
1×egg-herbie
Rules
888×times-frac
860×unswap-sqr
566×associate-+r+
542×sub-neg
540×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02273405
15823050
220262948
371822936
Stop Event
1×node limit
Counts
79 → 122
Calls
Call 1
Inputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(+.f64 (log.f64 x) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 (log.f64 x) -1))
(+.f64 -1 (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (E.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 x (E.f64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (E.f64)))) (log.f64 (sqrt.f64 (/.f64 x (E.f64)))))
(*.f64 1 (+.f64 (log.f64 x) -1))
(*.f64 (+.f64 (log.f64 x) -1) 1)
(*.f64 (+.f64 (log.f64 x) -1) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2) (cbrt.f64 (+.f64 (log.f64 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) (sqrt.f64 (+.f64 (log.f64 x) -1)))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (/.f64 1 (+.f64 (log.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 1/4) (sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) 1) (-.f64 (sqrt.f64 (log.f64 x)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 x) -1))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (log.f64 x) -1) (cbrt.f64 (+.f64 (log.f64 x) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (log.f64 x) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 5/2) 1/3) (pow.f64 (+.f64 (log.f64 x) -1) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (log.f64 x) -1) (cbrt.f64 (+.f64 (log.f64 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (log.f64 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 5/2)) (pow.f64 (+.f64 (log.f64 x) -1) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3/2)) (pow.f64 (+.f64 (log.f64 x) -1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 5)) (pow.f64 (+.f64 (log.f64 x) -1) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (+.f64 (pow.f64 (log.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (neg.f64 (+.f64 (log.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (+.f64 (pow.f64 (log.f64 x) 3) -1))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (+.f64 (pow.f64 (log.f64 x) 2) -1))) (cbrt.f64 (+.f64 (log.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (pow.f64 (log.f64 x) 2) -1))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (+.f64 (log.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (pow.f64 (log.f64 x) 3) -1))) (sqrt.f64 (*.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (log.f64 x) -1) (+.f64 (pow.f64 (log.f64 x) 3) -1))) (hypot.f64 (log.f64 x) (sqrt.f64 (+.f64 (log.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (log.f64 x) -1) (+.f64 (pow.f64 (log.f64 x) 2) -1))) (sqrt.f64 (+.f64 (log.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (log.f64 x) -1))) (hypot.f64 (log.f64 x) (sqrt.f64 (+.f64 (log.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) -1))) (sqrt.f64 (+.f64 (log.f64 x) 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))) (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) 1)) (pow.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (+.f64 (log.f64 x) 1)) (pow.f64 (+.f64 (log.f64 x) 1) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 4) 1) 1) (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) 1) (+.f64 (log.f64 x) 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 x) 1)) (hypot.f64 (log.f64 x) (sqrt.f64 (+.f64 (log.f64 x) 1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1))) (*.f64 (hypot.f64 (log.f64 x) (sqrt.f64 (+.f64 (log.f64 x) 1))) (sqrt.f64 (+.f64 (log.f64 x) 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 9) 1) 1) (*.f64 (+.f64 (pow.f64 (log.f64 x) 6) (+.f64 1 (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 6) 1) 1) (*.f64 (+.f64 (pow.f64 (log.f64 x) 4) (+.f64 1 (pow.f64 (log.f64 x) 2))) (+.f64 (log.f64 x) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) 6) 1) 1) (*.f64 (+.f64 (pow.f64 (log.f64 x) 3) 1) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(pow.f64 (+.f64 (log.f64 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 (log.f64 x) -1)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (+.f64 (pow.f64 (log.f64 x) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log.f64 x) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (log.f64 x) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log.f64 x) -1)))) (sqrt.f64 (log.f64 (+.f64 (log.f64 x) -1))))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2))
(fabs.f64 (+.f64 (log.f64 x) -1))
(log.f64 (/.f64 x (E.f64)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3))
(expm1.f64 (log.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (log.f64 x) -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log.f64 x) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (log.f64 x) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 x) -1))) 2))
(log1p.f64 (fma.f64 x (exp.f64 -1) -1))
(fma.f64 (log.f64 x) 1 -1)
(fma.f64 1 (log.f64 x) -1)
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) -1)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -1)
Outputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) -1)
(+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) -1)
(+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) -1)
(+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) -1)
(+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 x) -1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(+.f64 (log.f64 x) (log.f64 (exp.f64 -1)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(+.f64 0 (+.f64 (log.f64 x) -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(+.f64 -1 (log.f64 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (E.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 x (E.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (E.f64))))) (log.f64 (cbrt.f64 (/.f64 x (E.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 x (E.f64)))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 x (E.f64)))) 3)
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (E.f64)))) (log.f64 (sqrt.f64 (/.f64 x (E.f64)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 x (E.f64)))))
(*.f64 1 (+.f64 (log.f64 x) -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (+.f64 (log.f64 x) -1) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (+.f64 (log.f64 x) -1) (log.f64 (E.f64)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2) (cbrt.f64 (+.f64 (log.f64 x) -1)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) (sqrt.f64 (+.f64 (log.f64 x) -1)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1))))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 1 (log.f64 x)) (log.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 x) 3)) (-.f64 (-.f64 -1 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (/.f64 1 (+.f64 (log.f64 x) 1)))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 1 (log.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 1 (log.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 -1 (log.f64 x))))
(*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 1/4) (sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3/2)))
(*.f64 (pow.f64 (+.f64 -1 (log.f64 x)) 1/4) (sqrt.f64 (pow.f64 (+.f64 -1 (log.f64 x)) 3/2)))
(*.f64 (pow.f64 (+.f64 -1 (log.f64 x)) 1/4) (pow.f64 (+.f64 -1 (log.f64 x)) 3/4))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) 1) (-.f64 (sqrt.f64 (log.f64 x)) 1))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 x) -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (log.f64 x) -1) (cbrt.f64 (+.f64 (log.f64 x) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (log.f64 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 (log.f64 x)) (cbrt.f64 (+.f64 -1 (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 5/2) 1/3) (pow.f64 (+.f64 (log.f64 x) -1) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (log.f64 x)) 5/2)) (pow.f64 (+.f64 -1 (log.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (log.f64 x) -1) (cbrt.f64 (+.f64 (log.f64 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (log.f64 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 (log.f64 x)) (cbrt.f64 (+.f64 -1 (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 5/2)) (pow.f64 (+.f64 (log.f64 x) -1) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (log.f64 x)) 5/2)) (pow.f64 (+.f64 -1 (log.f64 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3/2)) (pow.f64 (+.f64 (log.f64 x) -1) 1/4))
(*.f64 (pow.f64 (+.f64 -1 (log.f64 x)) 1/4) (sqrt.f64 (pow.f64 (+.f64 -1 (log.f64 x)) 3/2)))
(*.f64 (pow.f64 (+.f64 -1 (log.f64 x)) 1/4) (pow.f64 (+.f64 -1 (log.f64 x)) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 5)) (pow.f64 (+.f64 (log.f64 x) -1) 1/6))
(*.f64 (pow.f64 (+.f64 -1 (log.f64 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 x))) 5)))
(*.f64 (pow.f64 (+.f64 -1 (log.f64 x)) 1/6) (pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 x))) 5/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)) (+.f64 (pow.f64 (log.f64 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 1 (log.f64 x)) (log.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 x) 3)) (-.f64 (-.f64 -1 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 1 (log.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 1 (log.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 -1 (log.f64 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) 1)))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 1 (log.f64 x)))))
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eval42.0ms (0.9%)

Compiler

Compiled 1933 to 1277 computations (33.9% saved)

prune20.0ms (0.4%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New1220122
Fresh077
Picked011
Done044
Total12212134
Accuracy
100.0%
Counts
134 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓29.4%
(-.f64 (log.f64 x) 1)
✓98.8%
(+.f64 (log.f64 2) (log.f64 x))
✓99.1%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.8%
(log.f64 (+.f64 x x))
17.4%
64
16.3%
27
15.8%
16
15.3%
9
15.0%
6
14.6%
3
14.3%
3/2
Compiler

Compiled 98 to 77 computations (21.4% saved)

regimes23.0ms (0.5%)

Counts
15 → 1
Calls
Call 1
Inputs
-1
3/2
3
6
9
16
27
64
(log.f64 (+.f64 x x))
(+.f64 -1 (log.f64 4))
(-.f64 (log.f64 x) 1)
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Calls

3 calls:

8.0ms
x
6.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
6.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
99.1%1x
99.1%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.1%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 70 to 51 computations (27.1% saved)

regimes10.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
-1
3/2
3
6
9
16
27
64
(log.f64 (+.f64 x x))
(+.f64 -1 (log.f64 4))
(-.f64 (log.f64 x) 1)
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
Outputs
(log.f64 (+.f64 x x))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 29 to 23 computations (20.7% saved)

regimes7.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
-1
3/2
3
6
9
16
27
64
Outputs
64
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
17.4%1x
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
3/2
3
6
9
16
27
Outputs
27
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
16.3%1x
Compiler

Compiled 10 to 9 computations (10% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
3/2
3
6
9
16
Outputs
16
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
15.8%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes8.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
-1
3/2
3
6
9
Outputs
9
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
15.3%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
-1
3/2
3
6
Outputs
6
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
15.0%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
-1
3/2
3
Outputs
3
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
14.6%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes4.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
3/2
Outputs
3/2
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
14.3%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
1.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02254
12554
23154
33554
43854
53954
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
64
27
16
9
6
3
3/2
-1
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
64
27
16
9
6
3
3/2
-1
Compiler

Compiled 30 to 26 computations (13.3% saved)

soundness1.0s (21.7%)

Rules
1280×fma-def
1280×fma-def
984×log-prod
874×unpow-prod-down
874×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059611157
1146610833
2481210743
01757
123645
2322641
03473975
19653975
01757
123645
2322641
03473975
19653975
01422
117422
2206522
01422
117422
2206522
01422
117422
2206522
01422
117422
2206522
01422
117422
2206522
01422
117422
2206522
01422
117422
2206522
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×unsound
1×node limit
1×unsound
1×node limit
1×node limit
Compiler

Compiled 471 to 274 computations (41.8% saved)

end0.0ms (0%)

preprocess334.0ms (7%)

Compiler

Compiled 62 to 48 computations (22.6% saved)

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