Hyperbolic arc-cosine

Time bar (total: 4.0s)

analyze70.0ms (1.7%)

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)

sample2.9s (72.9%)

Results
1.2s4156×body2048invalid
1.2s8256×body256valid
379.0ms2081×body1024invalid
117.0ms994×body512invalid
77.0ms1054×body256invalid
1.0ms5×body4096invalid
Bogosity

preprocess346.0ms (8.7%)

Algorithm
1×egg-herbie
Rules
708×distribute-rgt-out--
613×+-commutative
525×fma-def
493×*-commutative
473×distribute-rgt-out
Problems
146×No Errors
110×(sqrt.f64 (-.f64 (*.f64 x x) 1))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018100
14696
27696
318196
442996
593996
6158996
7312696
8438596
9524496
10568196
11599996
12611796
13619096
14641796
15697396
16717896
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)

eval5.0ms (0.1%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶58.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize58.0ms (1.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓60.0%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite177.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
669×associate-*l*
404×frac-times
314×*-un-lft-identity
246×times-frac
213×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110819
2119819
Stop Event
1×node limit
Counts
1 → 65
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Outputs
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) -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)) (pow.f64 1 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (/.f64 1 (sqrt.f64 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (fabs.f64 (pow.f64 1 1/2)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (pow.f64 (fma.f64 x x -1) 1/8))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 x x 1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) -1))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (neg.f64 (sqrt.f64 (fma.f64 x x 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1))))
(/.f64 (sqrt.f64 (+.f64 (neg.f64 (pow.f64 x 4)) 1)) (sqrt.f64 (neg.f64 (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (neg.f64 (pow.f64 x 6)) 1)) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(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)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))
(fabs.f64 (neg.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))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))

simplify90.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
682×associate-*r/
571×associate-*r*
527×associate-*l/
433×associate-*l*
254×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02233267
15063219
213633015
348913015
Stop Event
1×node limit
Counts
77 → 145
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)))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) -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)) (pow.f64 1 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (/.f64 1 (sqrt.f64 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (fabs.f64 (pow.f64 1 1/2)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (pow.f64 (fma.f64 x x -1) 1/8))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 x x 1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) -1))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (neg.f64 (sqrt.f64 (fma.f64 x x 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1))))
(/.f64 (sqrt.f64 (+.f64 (neg.f64 (pow.f64 x 4)) 1)) (sqrt.f64 (neg.f64 (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (neg.f64 (pow.f64 x 6)) 1)) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(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)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))
(fabs.f64 (neg.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))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (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 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 6))) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (*.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 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/2 x))
(+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) -1)
(sqrt.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 1/4)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 3/8))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (/.f64 1 (sqrt.f64 (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 4) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 -1 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 -1 x))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) (*.f64 (cbrt.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) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (fabs.f64 (pow.f64 1 1/2)) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (pow.f64 (fma.f64 x x -1) 1/8))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 3/8))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 x x 1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) 1))))
(/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) 1))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) (/.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) 1/6) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) 1)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) (/.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) 1/6) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) 1)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 x 4) 1))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (neg.f64 (sqrt.f64 (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1))
(sqrt.f64 (fma.f64 x x -1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))) (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (exp.f64 2) (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (sqrt.f64 (+.f64 (neg.f64 (pow.f64 x 4)) 1)) (sqrt.f64 (neg.f64 (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (pow.f64 x 4)))) (sqrt.f64 (neg.f64 (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (neg.f64 (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 -1 (pow.f64 x 2))))
(/.f64 (sqrt.f64 (+.f64 (neg.f64 (pow.f64 x 6)) 1)) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (pow.f64 x 6)))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (-.f64 (neg.f64 (pow.f64 x 4)) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (-.f64 (-.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (-.f64 -1 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))))
(pow.f64 (fma.f64 x x -1) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(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)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(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))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))

eval72.0ms (1.8%)

Compiler

Compiled 2696 to 2029 computations (24.7% saved)

prune42.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1432145
Fresh000
Picked011
Done000
Total1433146
Accuracy
100.0%
Counts
146 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓58.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶99.4%
(log.f64 (+.f64 x x))
▶99.8%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓58.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶99.4%
(log.f64 (+.f64 x x))
Compiler

Compiled 48 to 32 computations (33.3% saved)

localize56.0ms (1.4%)

Compiler

Compiled 35 to 19 computations (45.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done011
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓58.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓99.4%
(log.f64 (+.f64 x x))
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes13.0ms (0.3%)

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

3 calls:

5.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
3.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.8%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
11649
22349
32749
43049
53149
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness115.0ms (2.9%)

Rules
682×associate-*r/
571×associate-*r*
527×associate-*l/
433×associate-*l*
254×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02233267
15063219
213633015
348913015
Stop Event
1×node limit
Compiler

Compiled 29 to 20 computations (31% saved)

end0.0ms (0%)

preprocess28.0ms (0.7%)

Compiler

Compiled 46 to 30 computations (34.8% saved)

Profiling

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