Hyperbolic arc-cosine

Time bar (total: 5.4s)

analyze95.0ms (1.8%)

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

Compiled 11 to 8 computations (27.3% saved)

sample2.8s (51.9%)

Results
1.1s4085×body2048invalid
1.1s8256×body256valid
390.0ms1955×body1024invalid
161.0ms1062×body512invalid
72.0ms1051×body256invalid
2.0ms7×body4096invalid
Bogosity

preprocess257.0ms (4.8%)

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

Useful iterations: 1 (0.0ms)

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

Compiled 45 to 25 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.8%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶53.8%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize46.0ms (0.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓100.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓55.6%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(+.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
(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))

rewrite135.0ms (2.5%)

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)

simplify138.0ms (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))
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.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 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
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(*.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)

eval153.0ms (2.8%)

Compiler

Compiled 6211 to 4636 computations (25.4% saved)

prune52.0ms (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
▶99.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
▶20.5%
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)))
✓53.8%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶98.2%
(log.f64 (+.f64 x x))
▶99.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
▶20.5%
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)))
✓53.8%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶98.2%
(log.f64 (+.f64 x x))
Compiler

Compiled 72 to 52 computations (27.8% saved)

localize118.0ms (2.2%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓100.0%
(+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6))
✓100.0%
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)))
✓99.8%
(pow.f64 (fma.f64 x x -1) 3)
✓21.6%
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
Compiler

Compiled 77 to 51 computations (33.8% saved)

series10.0ms (0.2%)

Counts
5 → 60
Calls

15 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
1.0ms
x
@-inf
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
1.0ms
x
@0
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
1.0ms
x
@inf
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
0.0ms
x
@-inf
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

rewrite101.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1127×log1p-expm1-u
1127×expm1-log1p-u
1008×fma-def
376×expm1-udef
376×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021135
1245125
23276125
Stop Event
1×node limit
Counts
5 → 137
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (fma.f64 x x -1) 3)
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)))
(+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (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 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/6) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 1 1/6) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(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))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (fma.f64 x x -1) 2) -1))
(+.f64 (*.f64 (pow.f64 x 2) (pow.f64 (fma.f64 x x -1) 2)) (*.f64 -1 (pow.f64 (fma.f64 x x -1) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 3))) 1)
(*.f64 (fma.f64 x x -1) (pow.f64 (fma.f64 x x -1) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 3) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 2)))
(*.f64 (pow.f64 (fma.f64 x x -1) 2) (fma.f64 x x -1))
(*.f64 1 (pow.f64 (fma.f64 x x -1) 3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 2)))
(*.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 (fma.f64 x x -1) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 3) (fma.f64 x x -1))
(*.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) 1) (fma.f64 x x -1))
(*.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x -1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x -1) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 3)))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x -1) 3)))
(fma.f64 (pow.f64 x 2) (pow.f64 (fma.f64 x x -1) 2) (*.f64 -1 (pow.f64 (fma.f64 x x -1) 2)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 x 2) (*.f64 (pow.f64 (fma.f64 x x -1) 2) -1))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 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 (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 2) (fma.f64 x x -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 1 (log.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 (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 (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)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(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))
(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 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -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 (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 2) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.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))
(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))) 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 (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))))))
(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))))))
(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)))))
(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 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -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)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (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 1 1/2) (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/6) x)
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/6) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 1 1/6) (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/6) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x)) (*.f64 (pow.f64 x 2) 4))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (/.f64 1/4 (pow.f64 x 2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))

simplify105.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
964×times-frac
736×associate-+r+
688×associate-+l+
500×fma-neg
392×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04297237
110096848
233496515
Stop Event
1×node limit
Counts
197 → 323
Calls
Call 1
Inputs
(pow.f64 -1 1/6)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2))) (pow.f64 -1 1/6))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 4))) (pow.f64 -1 1/6)))
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(fma.f64 (pow.f64 1 1/6) (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/6) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x)) (*.f64 (pow.f64 x 2) 4))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (/.f64 1/4 (pow.f64 x 2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
Outputs
(pow.f64 -1 1/6)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2))) (pow.f64 -1 1/6))
(fma.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2)) (pow.f64 -1 1/6))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (pow.f64 -1 1/6))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 4))) (pow.f64 -1 1/6)))
(fma.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2)) (fma.f64 -1/8 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 4)) (pow.f64 -1 1/6)))
(+.f64 (pow.f64 -1 1/6) (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 4))) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 6))) (pow.f64 -1 1/6))))
(fma.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2)) (fma.f64 -1/8 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 4)) (fma.f64 -1/16 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 6)) (pow.f64 -1 1/6))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (pow.f64 -1 1/6)) (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 (pow.f64 x 4) -1/8) (*.f64 (pow.f64 x 6) -1/16))))
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 x (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 (-.f64 x (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (-.f64 x (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 -1/16 (pow.f64 x 5)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x)))
-1
(-.f64 (*.f64 3 (pow.f64 x 2)) 1)
(fma.f64 3 (pow.f64 x 2) -1)
(fma.f64 (pow.f64 x 2) 3 -1)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 4)) (*.f64 3 (pow.f64 x 2))) 1)
(+.f64 (*.f64 (pow.f64 x 4) -3) (fma.f64 3 (pow.f64 x 2) -1))
(fma.f64 (pow.f64 x 4) -3 (fma.f64 (pow.f64 x 2) 3 -1))
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 4)) (+.f64 (*.f64 3 (pow.f64 x 2)) (pow.f64 x 6))) 1)
(+.f64 (fma.f64 -3 (pow.f64 x 4) (fma.f64 3 (pow.f64 x 2) (pow.f64 x 6))) -1)
(+.f64 -1 (fma.f64 (pow.f64 x 4) -3 (fma.f64 (pow.f64 x 2) 3 (pow.f64 x 6))))
(+.f64 (fma.f64 (pow.f64 x 2) 3 -1) (fma.f64 (pow.f64 x 4) -3 (pow.f64 x 6)))
(pow.f64 x 6)
(+.f64 (*.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))
(fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6))
(fma.f64 (pow.f64 x 4) -3 (pow.f64 x 6))
(+.f64 (*.f64 -3 (pow.f64 x 4)) (+.f64 (*.f64 3 (pow.f64 x 2)) (pow.f64 x 6)))
(fma.f64 -3 (pow.f64 x 4) (fma.f64 3 (pow.f64 x 2) (pow.f64 x 6)))
(fma.f64 (pow.f64 x 4) -3 (fma.f64 (pow.f64 x 2) 3 (pow.f64 x 6)))
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 4)) (+.f64 (*.f64 3 (pow.f64 x 2)) (pow.f64 x 6))) 1)
(+.f64 (fma.f64 -3 (pow.f64 x 4) (fma.f64 3 (pow.f64 x 2) (pow.f64 x 6))) -1)
(+.f64 -1 (fma.f64 (pow.f64 x 4) -3 (fma.f64 (pow.f64 x 2) 3 (pow.f64 x 6))))
(+.f64 (fma.f64 (pow.f64 x 2) 3 -1) (fma.f64 (pow.f64 x 4) -3 (pow.f64 x 6)))
(pow.f64 x 6)
(+.f64 (*.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))
(fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6))
(fma.f64 (pow.f64 x 4) -3 (pow.f64 x 6))
(+.f64 (*.f64 -3 (pow.f64 x 4)) (+.f64 (*.f64 3 (pow.f64 x 2)) (pow.f64 x 6)))
(fma.f64 -3 (pow.f64 x 4) (fma.f64 3 (pow.f64 x 2) (pow.f64 x 6)))
(fma.f64 (pow.f64 x 4) -3 (fma.f64 (pow.f64 x 2) 3 (pow.f64 x 6)))
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 4)) (+.f64 (*.f64 3 (pow.f64 x 2)) (pow.f64 x 6))) 1)
(+.f64 (fma.f64 -3 (pow.f64 x 4) (fma.f64 3 (pow.f64 x 2) (pow.f64 x 6))) -1)
(+.f64 -1 (fma.f64 (pow.f64 x 4) -3 (fma.f64 (pow.f64 x 2) 3 (pow.f64 x 6))))
(+.f64 (fma.f64 (pow.f64 x 2) 3 -1) (fma.f64 (pow.f64 x 4) -3 (pow.f64 x 6)))
(log.f64 (pow.f64 -1 1/6))
(*.f64 1/6 (log.f64 -1))
(+.f64 (log.f64 (pow.f64 -1 1/6)) (*.f64 (pow.f64 -1 1/6) x))
(+.f64 (*.f64 1/6 (log.f64 -1)) (*.f64 (pow.f64 -1 1/6) x))
(fma.f64 1/6 (log.f64 -1) (*.f64 (pow.f64 -1 1/6) x))
(fma.f64 (pow.f64 -1 1/6) x (*.f64 1/6 (log.f64 -1)))
(+.f64 (log.f64 (pow.f64 -1 1/6)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (pow.f64 -1 1/3)) 1))) (*.f64 (pow.f64 -1 1/6) x)))
(+.f64 (*.f64 1/6 (log.f64 -1)) (fma.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 -1 (cbrt.f64 -1) -1)) (*.f64 (pow.f64 -1 1/6) x)))
(fma.f64 1/6 (log.f64 -1) (fma.f64 (pow.f64 -1 1/6) x (*.f64 (pow.f64 x 2) (*.f64 (fma.f64 -1 (cbrt.f64 -1) -1) 1/2))))
(fma.f64 1/6 (log.f64 -1) (fma.f64 (pow.f64 -1 1/6) x (*.f64 (-.f64 -1 (cbrt.f64 -1)) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (log.f64 (pow.f64 -1 1/6)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 2 (sqrt.f64 -1)) (*.f64 3 (pow.f64 -1 1/6))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (pow.f64 -1 1/3)) 1))) (*.f64 (pow.f64 -1 1/6) x))))
(+.f64 (*.f64 1/6 (log.f64 -1)) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 2 (sqrt.f64 -1) (*.f64 (pow.f64 -1 1/6) 3))) (fma.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 -1 (cbrt.f64 -1) -1)) (*.f64 (pow.f64 -1 1/6) x))))
(fma.f64 1/6 (log.f64 -1) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 -1 1/6) 3 (*.f64 2 (sqrt.f64 -1)))) (fma.f64 (pow.f64 -1 1/6) x (*.f64 (pow.f64 x 2) (*.f64 (fma.f64 -1 (cbrt.f64 -1) -1) 1/2)))))
(fma.f64 1/6 (log.f64 -1) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 -1 1/6) 3 (*.f64 2 (sqrt.f64 -1)))) (fma.f64 (pow.f64 -1 1/6) x (*.f64 (-.f64 -1 (cbrt.f64 -1)) (*.f64 (pow.f64 x 2) 1/2)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 1 (log.f64 x))
(+.f64 1/2 (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 1/2 (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 1/2 (log.f64 x))
(+.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/6 (/.f64 (-.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3 x)) (pow.f64 x 3)))))
(+.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 x -3)) (pow.f64 x 3)))))
(+.f64 1/2 (fma.f64 1/6 (/.f64 (fma.f64 x -3 (*.f64 2 (pow.f64 x 3))) (pow.f64 x 3)) (log.f64 x)))
(+.f64 1/2 (fma.f64 1/6 (+.f64 2 (/.f64 -3 (pow.f64 x 2))) (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 -1) (-.f64 (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)))) 3/2)
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) 3/2))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3/2)
(-.f64 (+.f64 -3/2 (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1/6 (/.f64 (-.f64 (*.f64 -3 x) (*.f64 -2 (pow.f64 x 3))) (pow.f64 x 3))))) 3/2)
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 x -3) (*.f64 2 (pow.f64 x 3))) (pow.f64 x 3)))) 3/2))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1/6 (/.f64 (fma.f64 x -3 (*.f64 2 (pow.f64 x 3))) (pow.f64 x 3))) -3/2))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -1/6 (+.f64 2 (/.f64 -3 (pow.f64 x 2))) -3/2))
(pow.f64 -1 1/6)
(+.f64 x (pow.f64 -1 1/6))
(+.f64 (pow.f64 -1 1/6) x)
(+.f64 x (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2))) (pow.f64 -1 1/6)))
(+.f64 x (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2)) (pow.f64 -1 1/6)))
(+.f64 x (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (pow.f64 -1 1/6)))
(+.f64 x (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 4))) (pow.f64 -1 1/6))))
(+.f64 x (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 2)) (fma.f64 -1/8 (*.f64 (pow.f64 -1 1/6) (pow.f64 x 4)) (pow.f64 -1 1/6))))
(+.f64 (pow.f64 -1 1/6) (+.f64 x (*.f64 (pow.f64 -1 1/6) (+.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 4) -1/8)))))
x
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/2 x))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
x
(+.f64 x (*.f64 -1 x))
(*.f64 0 x)
0
(+.f64 x (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 0 x) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 x) 0)
(/.f64 1/2 x)
(+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (*.f64 0 x) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) 0)
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (pow.f64 x 2) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 (pow.f64 x 2) -4) (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (pow.f64 x 2) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 (pow.f64 x 4) -8 (-.f64 (*.f64 (pow.f64 x 2) -4) (log.f64 x))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (fma.f64 (pow.f64 x 4) -8 (*.f64 (pow.f64 x 2) -4)))
(+.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) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (pow.f64 x 2) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 (pow.f64 x 6) -64/3 (fma.f64 (pow.f64 x 4) -8 (-.f64 (*.f64 (pow.f64 x 2) -4) (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 (pow.f64 x 6) -64/3 (-.f64 (fma.f64 (pow.f64 x 4) -8 (*.f64 (pow.f64 x 2) -4)) (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(-.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))))
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(*.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)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.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 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) x))))
(/.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 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)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.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 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) x))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.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 (+.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)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.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 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) x))))
(/.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 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.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))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -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))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (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)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.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)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) x)
(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 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/6) x)
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/6) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/6) x)
(fma.f64 (pow.f64 1 1/6) (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/6) x)
(+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(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 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x)) (*.f64 (pow.f64 x 2) 4))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x)) (*.f64 (pow.f64 x 2) 4))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (/.f64 1/4 (pow.f64 x 2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 2) 4 (/.f64 -1/4 (pow.f64 x 2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x 2 (/.f64 -1/2 x))))

eval124.0ms (2.3%)

Compiler

Compiled 4863 to 3723 computations (23.4% saved)

prune48.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3212323
Fresh000
Picked033
Done011
Total3216327
Accuracy
100.0%
Counts
327 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
✓99.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓20.5%
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)))
✓53.8%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.2%
(log.f64 (+.f64 x x))
▶31.2%
(log.f64 x)
▶98.3%
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
✓99.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓20.5%
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)))
✓53.8%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.2%
(log.f64 (+.f64 x x))
▶31.2%
(log.f64 x)
Compiler

Compiled 100 to 74 computations (26% saved)

localize78.0ms (1.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
✓99.8%
(sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
✓99.2%
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
Compiler

Compiled 42 to 30 computations (28.6% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
1.0ms
x
@-inf
(sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
1.0ms
x
@inf
(sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))

rewrite73.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
640×unpow-prod-down
480×log-prod
466×cbrt-prod
448×log1p-expm1-u
448×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01479
113279
2130279
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
Outputs
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (+.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 x -2) -3))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (*.f64 (pow.f64 x -2) 1/4) (*.f64 (*.f64 x 2) (/.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (pow.f64 x -2) 1/4))) (log.f64 (-.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/4))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/4) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/6) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6))
(*.f64 (pow.f64 1 1/3) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4) 1/2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 5) 1/2) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6))
(*.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/2) 1/3) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6))
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(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
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(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
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(-.f64 (+.f64 1 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/6)))
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(*.f64 (pow.f64 1 1/3) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
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(*.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/6) 1/2) (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4) 1/3) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/4) 1/3) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/4)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4)))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/2)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/4)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/6)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (exp.f64 1/2) (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))) (sqrt.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))
(fabs.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
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(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (+.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 x -2) -3))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (*.f64 (pow.f64 x -2) 1/4) (*.f64 (*.f64 x 2) (/.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (pow.f64 x -2) 1/4))) (log.f64 (-.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
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(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/4))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/4) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/6) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 5) 1/2) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6))
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(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
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(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6) 6)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/2) 2/3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4) 4)
(pow.f64 (E.f64) (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))

simplify117.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1340×associate-+r+
796×distribute-lft-in
762×distribute-rgt-in
556×associate-+l-
450×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03929770
110518932
234788543
Stop Event
1×node limit
Counts
160 → 222
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 (pow.f64 x 4) (+.f64 (*.f64 -1 (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))) 2))) (*.f64 4 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))))))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 -1 (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))) 2))) (*.f64 4 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))))) (*.f64 (pow.f64 x 6) (+.f64 (*.f64 -1 (+.f64 64/3 (*.f64 2 (/.f64 (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))) 2)) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) 2))) (*.f64 16 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))))))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
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(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (+.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 x -2) -3))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (*.f64 (pow.f64 x -2) 1/4) (*.f64 (*.f64 x 2) (/.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (pow.f64 x -2) 1/4))) (log.f64 (-.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/4))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/4) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/6) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6))
(*.f64 (pow.f64 1 1/3) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4) 1/2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 5) 1/2) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6))
(*.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/2) 1/3) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/2)) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6) 6)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/2) 2/3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4) 4)
(pow.f64 (E.f64) (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (pow.f64 x 2) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 -4 (pow.f64 x 2)) (log.f64 x)))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 (pow.f64 x 4) (+.f64 (*.f64 -1 (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))) 2))) (*.f64 4 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (pow.f64 x 2) (fma.f64 -1 (log.f64 x) (*.f64 (pow.f64 x 4) (fma.f64 -1 (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))))) 2)) (/.f64 4 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 4) (-.f64 (/.f64 4 (-.f64 (log.f64 -1/2) (log.f64 x))) (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1/2) (log.f64 x))))) 2)))) (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 4 (-.f64 (log.f64 -1/2) (log.f64 x))) (-.f64 -8 (/.f64 4 (-.f64 (log.f64 -1/2) (log.f64 x))))) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 -1 (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))) 2))) (*.f64 4 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))))) (*.f64 (pow.f64 x 6) (+.f64 (*.f64 -1 (+.f64 64/3 (*.f64 2 (/.f64 (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))) 2)) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) 2))) (*.f64 16 (/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))))))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (pow.f64 x 2) (fma.f64 -1 (log.f64 x) (fma.f64 (pow.f64 x 4) (fma.f64 -1 (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))))) 2)) (/.f64 4 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))))) (*.f64 (pow.f64 x 6) (fma.f64 -1 (+.f64 64/3 (*.f64 2 (/.f64 (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))))) 2)) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))))) (+.f64 (/.f64 8 (pow.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) 2)) (/.f64 16 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))))))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (pow.f64 x 2) (-.f64 (fma.f64 (pow.f64 x 4) (-.f64 (/.f64 4 (-.f64 (log.f64 -1/2) (log.f64 x))) (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1/2) (log.f64 x))))) 2))) (*.f64 (pow.f64 x 6) (-.f64 (+.f64 (/.f64 8 (pow.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) 2)) (/.f64 16 (-.f64 (log.f64 -1/2) (log.f64 x)))) (fma.f64 2 (/.f64 (+.f64 8 (pow.f64 (*.f64 -2 (sqrt.f64 (/.f64 1 (-.f64 (log.f64 -1/2) (log.f64 x))))) 2)) (-.f64 (log.f64 -1/2) (log.f64 x))) 64/3)))) (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (pow.f64 x 2) (-.f64 (fma.f64 (pow.f64 x 6) (+.f64 (/.f64 8 (pow.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) 2)) (-.f64 (/.f64 16 (-.f64 (log.f64 -1/2) (log.f64 x))) (fma.f64 2 (/.f64 (+.f64 8 (/.f64 4 (-.f64 (log.f64 -1/2) (log.f64 x)))) (-.f64 (log.f64 -1/2) (log.f64 x))) 64/3))) (*.f64 (pow.f64 x 4) (+.f64 (/.f64 4 (-.f64 (log.f64 -1/2) (log.f64 x))) (-.f64 -8 (/.f64 4 (-.f64 (log.f64 -1/2) (log.f64 x))))))) (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) (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 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (pow.f64 x 4))) (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 4) (+.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) 2)) (pow.f64 x 4)) (/.f64 1/64 (*.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) 2)) (pow.f64 x 4))) (+.f64 (/.f64 (/.f64 1/64 (pow.f64 x 4)) (+.f64 (log.f64 2) (log.f64 x))) (log.f64 2))) (/.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 1/32 (*.f64 1/64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) (pow.f64 x 4))) (-.f64 (/.f64 (/.f64 1/64 (pow.f64 x 4)) (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/192 (*.f64 1/8 (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (pow.f64 x 4))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 1/8 (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (*.f64 (pow.f64 x 6) (+.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (+.f64 1/192 (*.f64 1/8 (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) 2)) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) (pow.f64 x 6)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) 2)) (pow.f64 x 4)) (/.f64 1/64 (*.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) (*.f64 1/8 (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) 2)) (*.f64 (pow.f64 x 6) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))))))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (-.f64 (-.f64 (fma.f64 1/8 (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) 2)) (*.f64 (pow.f64 x 6) (+.f64 (log.f64 2) (log.f64 x)))) (/.f64 (/.f64 1/64 (pow.f64 x 4)) (+.f64 (log.f64 2) (log.f64 x)))) (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) 2)) (pow.f64 x 4))) (/.f64 (fma.f64 1/8 (/.f64 (+.f64 1/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) 2)) (+.f64 (log.f64 2) (log.f64 x))) 1/192) (pow.f64 x 6))) (/.f64 1/4 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (-.f64 (fma.f64 1/8 (/.f64 (+.f64 1/32 (*.f64 1/64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) (*.f64 (pow.f64 x 6) (+.f64 (log.f64 2) (log.f64 x)))) (/.f64 (/.f64 1/64 (pow.f64 x 4)) (+.f64 (log.f64 2) (log.f64 x)))) (/.f64 (+.f64 1/32 (*.f64 1/64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) (pow.f64 x 4))) (-.f64 (log.f64 x) (/.f64 (fma.f64 1/8 (/.f64 (+.f64 1/32 (*.f64 1/64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) (+.f64 (log.f64 2) (log.f64 x))) 1/192) (pow.f64 x 6)))) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (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 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2)))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 8)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/2)) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 8)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/6) 6)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3/2) 2/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1/4) 4)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (E.f64) (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x 2 (/.f64 -1/2 x))))

eval150.0ms (2.8%)

Compiler

Compiled 6652 to 5525 computations (16.9% saved)

prune34.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2220222
Fresh000
Picked022
Done044
Total2226228
Accuracy
100.0%
Counts
228 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.3%
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
✓99.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓20.5%
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)))
✓53.8%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.2%
(log.f64 (+.f64 x x))
✓31.2%
(log.f64 x)
Compiler

Compiled 95 to 69 computations (27.4% saved)

regimes314.0ms (5.8%)

Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Calls

3 calls:

302.0ms
x
4.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.0%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 66 to 46 computations (30.3% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
31.2%1x
Compiler

Compiled 5 to 3 computations (40% saved)

simplify3.0ms (0.1%)

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
01554
11854
22554
32954
43254
53354
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(log.f64 x)
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(log.f64 x)
Compiler

Compiled 17 to 12 computations (29.4% saved)

soundness389.0ms (7.2%)

Rules
1018×unpow-prod-down
984×log-prod
964×times-frac
922×fma-def
736×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059611157
1146610833
2481210743
01279
115279
2205979
04297237
110096848
233496515
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 211 to 142 computations (32.7% saved)

end0.0ms (0%)

preprocess30.0ms (0.6%)

Compiler

Compiled 50 to 34 computations (32% saved)

Profiling

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