Hyperbolic arc-cosine

Time bar (total: 5.8s)

analyze74.0ms (1.3%)

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

Compiled 11 to 8 computations (27.3% saved)

sample1.7s (28.7%)

Results
1.0s8256×body256valid
607.0ms8078×body256invalid
Bogosity

preprocess254.0ms (4.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
145132
280132
3176132
4413132
5927132
61717132
73268132
84304132
94964132
105266132
115551132
125698132
135771132
145982132
156749132
167234132
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
Compiler

Compiled 45 to 25 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize45.0ms (0.8%)

Localize:

Found 4 expressions with local error:

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

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite142.0ms (2.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01294
115294
2205994
Stop Event
node limit
Counts
4 → 288
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
(-.f64 (*.f64 x x) 1)
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (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))))))
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(*.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))

simplify157.0ms (2.7%)

Algorithm
egg-herbie
Rules
1310×log-prod
1176×fma-neg
922×associate-*r*
904×associate-*l*
686×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074914015
1181813538
2658713536
Stop Event
node limit
Counts
336 → 460
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)))))
(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)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 2 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 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.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 5/128 (/.f64 1 (pow.f64 x 7))) (+.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)))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (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))
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(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 x x -1))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 (pow.f64 x 2) 1 -1)
(fma.f64 1 (pow.f64 x 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (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 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (sqrt.f64 -1) (*.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 1/16 (pow.f64 x 5))) (/.f64 1/2 x)) (/.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)))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) x)
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) x) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 x (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (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 x (+.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) (+.f64 x (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))))
(*.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 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (*.f64 2 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 (*.f64 x 2) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.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 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.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 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/16 (pow.f64 x 5))) (+.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))) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 5/128 (pow.f64 x 7))))
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(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 2) (+.f64 (log.f64 x) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (+.f64 (/.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))))))
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(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.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)
(log.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 (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 x (-.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 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 x (-.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 (fma.f64 x x 1) (pow.f64 x 2))) (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 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.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 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(-.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 (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 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (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)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (exp.f64 1)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -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))
(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) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(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))))))
(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))))))
(log.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))))))
(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)))))
(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))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.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))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.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))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.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))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.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 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2)))
(*.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 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -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 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.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)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 4) 2)))
(*.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 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2)))
(*.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))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.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))
(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)
(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))))) 3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(fabs.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(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)))))
(-.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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (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 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(fabs.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(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))))))
(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))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval178.0ms (3.1%)

Compiler

Compiled 8019 to 5976 computations (25.5% saved)

prune63.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4564460
Fresh000
Picked011
Done000
Total4565461
Accuracy
100.0%
Counts
461 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.6%
(-.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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
49.6%
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))))
98.5%
(log.f64 (+.f64 x x))
33.6%
(-.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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
49.6%
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))))
98.5%
(log.f64 (+.f64 x x))
Compiler

Compiled 124 to 88 computations (29% saved)

localize1.6s (27.4%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
51.7%
(sqrt.f64 (fma.f64 x x -1))
49.7%
(log.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
35.7%
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
7.7%
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
100.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
100.0%
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))))
100.0%
(+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x)))))
95.8%
(expm1.f64 (*.f64 2 (log.f64 x)))
51.7%
(sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))
Compiler

Compiled 185 to 116 computations (37.3% saved)

series346.0ms (6%)

Counts
9 → 108
Calls

27 calls:

TimeVariablePointExpression
291.0ms
x
@inf
(log.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
23.0ms
x
@0
(sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))
17.0ms
x
@-inf
(sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))
7.0ms
x
@inf
(sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))
1.0ms
x
@0
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))

rewrite143.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
714×expm1-udef
714×log1p-udef
343×log1p-expm1-u
340×associate-*r*
218×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032286
1474263
26845263
Stop Event
node limit
Counts
9 → 235
Calls
Call 1
Inputs
(sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))
(expm1.f64 (*.f64 2 (log.f64 x)))
(+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x)))))
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
(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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (fma.f64 x x -1))
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 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (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) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -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))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 -1 (pow.f64 x 2))
(+.f64 (pow.f64 x 2) -1)
(+.f64 (*.f64 (pow.f64 x 2) 1) -1)
(-.f64 (pow.f64 x 2) 1)
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 1 (fma.f64 x x -1))
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(expm1.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 1))
(log1p.f64 (-.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1))
(+.f64 0 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) 2))) (log.f64 (cbrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) (pow.f64 (fma.f64 x x -1) 3))) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (-.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 1)
(*.f64 1 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 2) (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 1))
(log1p.f64 (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) 1))
(-.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 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (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) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -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))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))

simplify163.0ms (2.8%)

Algorithm
egg-herbie
Rules
1106×fma-def
988×log-prod
664×associate-*r*
554×associate-*l*
530×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070214601
1173513778
2733413778
Stop Event
node limit
Counts
343 → 488
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (pow.f64 x 2) 1))
(sqrt.f64 (-.f64 (pow.f64 x 2) 1))
(sqrt.f64 (-.f64 (pow.f64 x 2) 1))
(sqrt.f64 (-.f64 (pow.f64 x 2) 1))
(sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))
(sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))
(sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))
(sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(sqrt.f64 (-.f64 (pow.f64 x 2) 1))
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
x
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1)))
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1)))
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1)))
x
(+.f64 x (sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))
(+.f64 x (sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))
(+.f64 x (sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))
(log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1))) (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 x 2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (-.f64 (pow.f64 x 2) 1))) (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 x 2) 1))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (-.f64 (pow.f64 x 2) 1))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 x 2) 1) 3))))) (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 x 2) 1)))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1) (pow.f64 x 2))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1) 3)))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) (pow.f64 x 2))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) 3)))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 x (*.f64 -1 (sqrt.f64 -1)))
(+.f64 x (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.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 5/128 (/.f64 1 (pow.f64 x 7))) (+.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 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 2 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 (pow.f64 -1 3/2))
(+.f64 (log.f64 (pow.f64 -1 3/2)) (*.f64 -3/2 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (log.f64 (pow.f64 -1 3/2)) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(+.f64 (log.f64 (pow.f64 -1 3/2)) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 9 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 27 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(+.f64 1 (*.f64 -3 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -3 (log.f64 (/.f64 1 x)))) (*.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/2 (*.f64 -3 (log.f64 (/.f64 1 x)))) (*.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -3 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -3 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) (*.f64 3/2 (/.f64 1 (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) (*.f64 3/2 (/.f64 1 (pow.f64 x 2))))) 3/2)
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) 4))) (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (*.f64 3 (/.f64 1 (sqrt.f64 -1))) (*.f64 12 (sqrt.f64 -1)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) 4))) (*.f64 x (sqrt.f64 -1)))))
(*.f64 -2 (log.f64 (/.f64 1 x)))
(-.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/64 (/.f64 1 (pow.f64 x 8))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 3) (*.f64 -2 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 3) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 3) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 3) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(sqrt.f64 -1)
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(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)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 2))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(+.f64 (log.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x -1) 3/4))) (log.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x -1) 3/4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 9/2) (pow.f64 x 9))) (log.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 1)
(*.f64 1 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 2) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 1))
(log1p.f64 (-.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1))
(+.f64 0 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) 2))) (log.f64 (cbrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) (pow.f64 (fma.f64 x x -1) 3))) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (-.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 1)
(*.f64 1 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 2) (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 1))
(log1p.f64 (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) 1))
(-.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 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (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) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -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))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
Outputs
(sqrt.f64 (-.f64 (pow.f64 x 2) 1))
(sqrt.f64 (fma.f64 x x -1))
(sqrt.f64 (-.f64 (pow.f64 x 2) 1))
(sqrt.f64 (fma.f64 x x -1))
(sqrt.f64 (-.f64 (pow.f64 x 2) 1))
(sqrt.f64 (fma.f64 x x -1))
(sqrt.f64 (-.f64 (pow.f64 x 2) 1))
(sqrt.f64 (fma.f64 x x -1))
(sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 1 x) -2) -1))
(sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 1 x) -2) -1))
(sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 1 x) -2) -1))
(sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 1 x) -2) -1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))
(sqrt.f64 (expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(sqrt.f64 (expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))
(sqrt.f64 (expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(sqrt.f64 (expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))
(sqrt.f64 (expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(sqrt.f64 (expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))
(sqrt.f64 (expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(sqrt.f64 (expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(+.f64 (pow.f64 (/.f64 1 x) -2) -1)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(+.f64 (pow.f64 (/.f64 1 x) -2) -1)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(+.f64 (pow.f64 (/.f64 1 x) -2) -1)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(+.f64 (pow.f64 (/.f64 1 x) -2) -1)
(-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(sqrt.f64 (-.f64 (pow.f64 x 2) 1))
(sqrt.f64 (fma.f64 x x -1))
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
x
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1)))
(+.f64 x (sqrt.f64 (+.f64 (pow.f64 (/.f64 1 x) -2) -1)))
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1)))
(+.f64 x (sqrt.f64 (+.f64 (pow.f64 (/.f64 1 x) -2) -1)))
(+.f64 x (sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1)))
(+.f64 x (sqrt.f64 (+.f64 (pow.f64 (/.f64 1 x) -2) -1)))
x
(+.f64 x (sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))
(+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))))
(+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 x (sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))
(+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))))
(+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 x (sqrt.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))
(+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))))
(+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(log.f64 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1))) (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 x 2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))
(fma.f64 x (sqrt.f64 (/.f64 1 (fma.f64 x x -1))) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (-.f64 (pow.f64 x 2) 1))) (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 x 2) 1))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))))
(+.f64 (fma.f64 x (sqrt.f64 (/.f64 1 (fma.f64 x x -1))) (log.f64 (sqrt.f64 (fma.f64 x x -1)))) (/.f64 -1/2 (/.f64 (fma.f64 x x -1) (pow.f64 x 2))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (-.f64 (pow.f64 x 2) 1))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 x 2) 1) 3))))) (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 x 2) 1)))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (fma.f64 x x -1)) (fma.f64 1/3 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x -1) 3)))) (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (fma.f64 x x -1)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x -1) 3))) (*.f64 1/3 (pow.f64 x 3)))) (fma.f64 x (sqrt.f64 (/.f64 1 (fma.f64 x x -1))) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (pow.f64 (/.f64 1 x) -2) 1))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 (pow.f64 (/.f64 1 x) -2) -1))))
(+.f64 (log.f64 x) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 1 x) -2) -1)) x))
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(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(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 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (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) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(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))
(fabs.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))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 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))

eval247.0ms (4.3%)

Compiler

Compiled 12072 to 8869 computations (26.5% saved)

prune259.0ms (4.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4871488
Fresh000
Picked044
Done011
Total4876493
Accuracy
100.0%
Counts
493 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.6%
(-.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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
49.6%
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))))
98.5%
(log.f64 (+.f64 x x))
31.3%
(log.f64 x)
33.6%
(-.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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
49.6%
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))))
98.5%
(log.f64 (+.f64 x x))
31.3%
(log.f64 x)
Compiler

Compiled 130 to 92 computations (29.2% saved)

localize58.0ms (1%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.6%
(-.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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
49.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
49.6%
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))))
98.5%
(log.f64 (+.f64 x x))
31.3%
(log.f64 x)
Compiler

Compiled 125 to 86 computations (31.2% saved)

regimes15.0ms (0.3%)

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))))
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 2 (log.f64 x))))))
(-.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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Calls

3 calls:

5.0ms
x
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
4.0ms
(+.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 81 to 54 computations (33.3% 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
98.5%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
31.3%1x
Compiler

Compiled 5 to 3 computations (40% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01554
11854
22554
32954
43254
53354
Stop Event
done
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)

soundness312.0ms (5.4%)

Rules
1310×log-prod
1176×fma-neg
1018×unpow-prod-down
922×fma-def
922×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074914015
1181813538
2658713536
01294
115294
2205994
Stop Event
node limit
node limit
Compiler

Compiled 87 to 63 computations (27.6% saved)

end0.0ms (0%)

preprocess50.0ms (0.9%)

Compiler

Compiled 50 to 34 computations (32% saved)

Profiling

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