Hyperbolic arc-cosine

Time bar (total: 9.7s)

analyze74.0ms (0.8%)

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

Compiled 11 to 8 computations (27.3% saved)

sample5.2s (53.9%)

Results
2.3s4164×body2048invalid
1.7s8256×body256valid
724.0ms2036×body1024invalid
291.0ms1058×body512invalid
137.0ms1019×body256invalid
7.0ms10×body4096invalid
Bogosity

preprocess228.0ms (2.4%)

Algorithm
egg-herbie
Rules
1460×fma-def
1306×distribute-lft-out
1242×distribute-rgt-out--
1042×unsub-neg
932×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01673
14069
27369
316869
440069
590369
6168369
7319469
8423469
9487469
10516469
11547269
12562669
13569969
14591069
15667769
16685869
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
Compiler

Compiled 10 to 7 computations (30% saved)

eval1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0%)

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

Compiled 20 to 14 computations (30% saved)

localize105.0ms (1.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
99.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
56.1%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite151.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
940×fma-def
902×log-prod
770×prod-exp
618×pow-prod-down
496×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
121455
2291555
Stop Event
node limit
Counts
3 → 153
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (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 (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) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (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 (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) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(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 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.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 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 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -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 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (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 (*.f64 x x) (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) (*.f64 x x))) (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 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.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 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(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 (*.f64 x x) (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 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.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 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (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 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (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 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -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 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.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))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.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))
(pow.f64 (pow.f64 (E.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 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)

simplify119.0ms (1.2%)

Algorithm
egg-herbie
Rules
896×times-frac
890×distribute-rgt-in
890×distribute-lft-in
638×associate-+r+
580×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04326315
110266067
229815743
Stop Event
node limit
Counts
189 → 279
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.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)))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (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 (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) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (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 (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) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(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 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.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 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 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -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 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (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 (*.f64 x x) (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) (*.f64 x x))) (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 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.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 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(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 (*.f64 x x) (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 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.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 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (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 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (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 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -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 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.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))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.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))
(pow.f64 (pow.f64 (E.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 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))) (+.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 -1/2 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 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (-.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) 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 (/.f64 1/2 x) x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (neg.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 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))) (fma.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 (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 (*.f64 x x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(-.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 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (-.f64 (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))) (/.f64 -5/96 (pow.f64 x 6))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)) x)

eval105.0ms (1.1%)

Compiler

Compiled 4692 to 3409 computations (27.3% saved)

prune45.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2745279
Fresh000
Picked011
Done000
Total2746280
Accuracy
100.0%
Counts
280 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(+.f64 (log.f64 2) (log.f64 x))
54.2%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
98.7%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.2%
(log.f64 (+.f64 x x))
98.7%
(+.f64 (log.f64 2) (log.f64 x))
54.2%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
98.7%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.2%
(log.f64 (+.f64 x x))
Compiler

Compiled 232 to 178 computations (23.3% saved)

localize236.0ms (2.4%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
100.0%
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
99.2%
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
56.1%
(sqrt.f64 (fma.f64 x x -1))
99.7%
(+.f64 (log.f64 2) (log.f64 x))
99.2%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
99.2%
(log.f64 (+.f64 x x))
100.0%
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
99.7%
(/.f64 1/16 (pow.f64 x 5))
99.2%
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
98.8%
(/.f64 1/8 (pow.f64 x 3))
Compiler

Compiled 184 to 130 computations (29.3% saved)

series166.0ms (1.7%)

Counts
11 → 88
Calls

33 calls:

TimeVariablePointExpression
50.0ms
x
@-inf
(log.f64 (+.f64 x x))
38.0ms
x
@0
(log.f64 (+.f64 x x))
30.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
16.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
14.0ms
x
@inf
(log.f64 (+.f64 x x))

rewrite91.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
720×add-sqr-sqrt
694×pow1
690×add-exp-log
690×*-un-lft-identity
678×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034237
1766225
Stop Event
node limit
Counts
11 → 271
Calls
Call 1
Inputs
(/.f64 1/8 (pow.f64 x 3))
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
(/.f64 1/16 (pow.f64 x 5))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
(sqrt.f64 (fma.f64 x x -1))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3)))) 1)
(*.f64 1/8 (pow.f64 x -3))
(*.f64 1/8 (pow.f64 (/.f64 1 x) 3))
(*.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 2))
(*.f64 1 (*.f64 1/8 (pow.f64 x -3)))
(*.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3) (/.f64 1/2 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3))
(pow.f64 (*.f64 1/8 (pow.f64 x -3)) 1)
(pow.f64 (/.f64 1/2 x) 3)
(pow.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)
(pow.f64 (/.f64 (pow.f64 x 3) 1/8) -1)
(sqrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x -3)) 2))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x -3)))))
(cbrt.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3))))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x -3))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x -3))))
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))) 2))) (log.f64 (fma.f64 x 2 (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))) 2) (*.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))))) 1)
(*.f64 1 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))) 2) (cbrt.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))) (sqrt.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))))
(pow.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))))
(exp.f64 (log.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))) 1))
(log1p.f64 (-.f64 (-.f64 (+.f64 x x) (fma.f64 1/16 (pow.f64 x -5) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -5)))) 1)
(*.f64 1/16 (pow.f64 x -5))
(*.f64 1 (*.f64 1/16 (pow.f64 x -5)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -5))) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 x -5))))
(*.f64 (/.f64 1/4 (pow.f64 x 5/2)) (/.f64 1/4 (pow.f64 x 5/2)))
(pow.f64 (*.f64 1/16 (pow.f64 x -5)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -5))) 3)
(pow.f64 (*.f64 1/4096 (pow.f64 (pow.f64 x -5) 3)) 1/3)
(pow.f64 (/.f64 1/4 (pow.f64 x 5/2)) 2)
(pow.f64 (/.f64 (pow.f64 x 5) 1/16) -1)
(sqrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 x -5)) 2))
(log.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 x -5)))))
(cbrt.f64 (*.f64 1/4096 (pow.f64 (pow.f64 x -5) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -5))))
(exp.f64 (log.f64 (*.f64 1/16 (pow.f64 x -5))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/16 (pow.f64 x -5))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 x -5))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))) 1)
(*.f64 1 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(/.f64 (fma.f64 1/2 (pow.f64 x 3) (*.f64 x 1/8)) (pow.f64 x 4))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x -3)) (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3))) (+.f64 (pow.f64 (/.f64 1/2 x) 2) (-.f64 (pow.f64 (*.f64 1/8 (pow.f64 x -3)) 2) (*.f64 (/.f64 1/2 x) (*.f64 1/8 (pow.f64 x -3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 2) (pow.f64 (*.f64 1/8 (pow.f64 x -3)) 2)) (-.f64 (/.f64 1/2 x) (*.f64 1/8 (pow.f64 x -3))))
(/.f64 (+.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2)) (*.f64 (pow.f64 x 3) x))
(/.f64 (+.f64 (*.f64 1/8 (/.f64 x 1/2)) (*.f64 (pow.f64 x 3) 1)) (*.f64 (pow.f64 x 3) (/.f64 x 1/2)))
(/.f64 (+.f64 (*.f64 1/8 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/2)) (*.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (/.f64 (pow.f64 x 3) 1/8) 1/2)) (*.f64 (/.f64 (pow.f64 x 3) 1/8) x))
(/.f64 (+.f64 (/.f64 x 1/2) (*.f64 (/.f64 (pow.f64 x 3) 1/8) 1)) (*.f64 (/.f64 (pow.f64 x 3) 1/8) (/.f64 x 1/2)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 (pow.f64 x 3) 1/8) -1/2)) (*.f64 (/.f64 (pow.f64 x 3) 1/8) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 -1/8 x) (*.f64 (neg.f64 (pow.f64 x 3)) 1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) x))
(/.f64 (+.f64 (*.f64 -1/8 (/.f64 x 1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) 1)) (*.f64 (neg.f64 (pow.f64 x 3)) (/.f64 x 1/2)))
(/.f64 (+.f64 (*.f64 -1/8 (neg.f64 x)) (*.f64 (neg.f64 (pow.f64 x 3)) -1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) 1/8)) (*.f64 x 1)) (*.f64 x (/.f64 (pow.f64 x 3) 1/8)))
(/.f64 (+.f64 (*.f64 1/2 (neg.f64 (pow.f64 x 3))) (*.f64 x -1/8)) (*.f64 x (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (/.f64 x 1/2) 1/8)) (*.f64 (/.f64 x 1/2) (pow.f64 x 3)))
(/.f64 (+.f64 (/.f64 (pow.f64 x 3) 1/8) (*.f64 (/.f64 x 1/2) 1)) (*.f64 (/.f64 x 1/2) (/.f64 (pow.f64 x 3) 1/8)))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (/.f64 x 1/2) -1/8)) (*.f64 (/.f64 x 1/2) (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 (neg.f64 x) 1/8)) (*.f64 (neg.f64 x) (pow.f64 x 3)))
(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 3) 1/8)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (pow.f64 x 3) 1/8)))
(/.f64 (+.f64 (*.f64 -1/2 (neg.f64 (pow.f64 x 3))) (*.f64 (neg.f64 x) -1/8)) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x 3))))
(pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (*.f64 1/8 (pow.f64 x -3)))
(fma.f64 1 (*.f64 1/8 (pow.f64 x -3)) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (*.f64 1/8 (pow.f64 x -3)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (*.f64 1/8 (pow.f64 x -3)))
(fma.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (*.f64 1/8 (pow.f64 x -3)))
(fma.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 1/2 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) (log.f64 (cbrt.f64 (+.f64 x x))))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x x))) (log.f64 (sqrt.f64 (+.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (-.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(log1p.f64 (-.f64 (+.f64 x x) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2)) (log.f64 (cbrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (+.f64 x x) (/.f64 1/2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (/.f64 1/2 x) 2))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) 1)
(*.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(exp.f64 (log.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) 1))
(log1p.f64 (-.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)) 1))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (-.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 1 (-.f64 (+.f64 x x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(log1p.f64 (-.f64 (+.f64 x x) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(-.f64 (exp.f64 (log1p.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 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.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))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(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 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/4) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (sqrt.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/4) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (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))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(fabs.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(hypot.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.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 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(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)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2)))
(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 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/4)) (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/4)))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(*.f64 1/2 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))

simplify180.0ms (1.9%)

Algorithm
egg-herbie
Rules
1574×fma-neg
992×log-prod
710×fma-def
626×associate-*r*
568×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074311157
118019617
261779617
Stop Event
node limit
Counts
359 → 448
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/16) (*.f64 -5 (log.f64 x)))
(+.f64 (log.f64 -1/16) (+.f64 (*.f64 -5 (log.f64 x)) (*.f64 2 (pow.f64 x 2))))
(+.f64 (log.f64 -1/16) (+.f64 (*.f64 -5 (log.f64 x)) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 6 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/16) (+.f64 (*.f64 -136/3 (pow.f64 x 6)) (+.f64 (*.f64 -5 (log.f64 x)) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 6 (pow.f64 x 4))))))
(+.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 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
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(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
Outputs
(+.f64 (log.f64 -1/16) (*.f64 -5 (log.f64 x)))
(fma.f64 -5 (log.f64 x) (log.f64 -1/16))
(+.f64 (log.f64 -1/16) (+.f64 (*.f64 -5 (log.f64 x)) (*.f64 2 (pow.f64 x 2))))
(+.f64 (log.f64 -1/16) (fma.f64 -5 (log.f64 x) (*.f64 2 (*.f64 x x))))
(+.f64 (fma.f64 -5 (log.f64 x) (log.f64 -1/16)) (*.f64 x (+.f64 x x)))
(+.f64 (log.f64 -1/16) (+.f64 (*.f64 -5 (log.f64 x)) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 6 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/16) (fma.f64 -5 (log.f64 x) (fma.f64 2 (*.f64 x x) (*.f64 6 (pow.f64 x 4)))))
(+.f64 (fma.f64 -5 (log.f64 x) (log.f64 -1/16)) (fma.f64 2 (*.f64 x x) (*.f64 6 (pow.f64 x 4))))
(+.f64 (log.f64 -1/16) (+.f64 (*.f64 -136/3 (pow.f64 x 6)) (+.f64 (*.f64 -5 (log.f64 x)) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 6 (pow.f64 x 4))))))
(+.f64 (log.f64 -1/16) (fma.f64 -136/3 (pow.f64 x 6) (fma.f64 -5 (log.f64 x) (fma.f64 2 (*.f64 x x) (*.f64 6 (pow.f64 x 4))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x 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 (*.f64 x x))))
(+.f64 (log.f64 (+.f64 x x)) (/.f64 -1/4 (*.f64 x x)))
(-.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 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 (+.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(-.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 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))))
(-.f64 (+.f64 (-.f64 (log.f64 (+.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.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 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(/.f64 1/8 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 (*.f64 x x) -4) (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x 4) -8 (*.f64 (*.f64 x x) -4)) (-.f64 (log.f64 -1/2) (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 -1/2) (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 (pow.f64 x 6) -64/3 (-.f64 (fma.f64 (pow.f64 x 4) -8 (*.f64 (*.f64 x x) -4)) (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x 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 (*.f64 x x))))
(+.f64 (log.f64 (+.f64 x x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (log.f64 (+.f64 x x)) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.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 (+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 2)) (neg.f64 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 2)) (neg.f64 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 2)) (neg.f64 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 2)) (neg.f64 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (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 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.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 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (/.f64 (*.f64 (pow.f64 x 6) 1/16) (pow.f64 (sqrt.f64 -1) 5))))
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 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.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 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
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(fma.f64 -1 x (/.f64 1/2 x))
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(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/4) 2)
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(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))))))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(fabs.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(hypot.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(hypot.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/2))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.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 x (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (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))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(fabs.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(fabs.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/4)) (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/4)))
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (*.f64 1/4 (log.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 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1/2 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(fabs.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(*.f64 2 (*.f64 1/4 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))

eval526.0ms (5.4%)

Compiler

Compiled 8726 to 6725 computations (22.9% saved)

prune110.0ms (1.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4471448
Fresh000
Picked055
Done011
Total4477454
Accuracy
100.0%
Counts
454 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(+.f64 (log.f64 2) (log.f64 x))
54.2%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
98.7%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.2%
(log.f64 (+.f64 x x))
3.1%
0
98.7%
(+.f64 (log.f64 2) (log.f64 x))
54.2%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
98.7%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.2%
(log.f64 (+.f64 x x))
3.1%
0
Compiler

Compiled 130 to 100 computations (23.1% saved)

localize0.0ms (0%)

eval1.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune26.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(+.f64 (log.f64 2) (log.f64 x))
54.2%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
98.7%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.2%
(log.f64 (+.f64 x x))
3.1%
0
98.7%
(+.f64 (log.f64 2) (log.f64 x))
54.2%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
98.7%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.2%
(log.f64 (+.f64 x x))
3.1%
0
Compiler

Compiled 130 to 100 computations (23.1% saved)

localize0.0ms (0%)

eval1.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune20.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(+.f64 (log.f64 2) (log.f64 x))
54.2%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
98.7%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
99.0%
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
54.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.2%
(log.f64 (+.f64 x x))
3.1%
0
Compiler

Compiled 124 to 94 computations (24.2% saved)

regimes74.0ms (0.8%)

Counts
7 → 1
Calls
Call 1
Inputs
0
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
Calls

3 calls:

25.0ms
x
23.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
19.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.0%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes60.0ms (0.6%)

Counts
5 → 1
Calls
Call 1
Inputs
0
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(+.f64 (log.f64 2) (log.f64 x))
Calls

3 calls:

21.0ms
x
17.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
17.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.7%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 49 to 34 computations (30.6% saved)

regimes18.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
0
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes16.0ms (0.2%)

Counts
2 → 1
Calls
Call 1
Inputs
0
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x x))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes16.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
3.1%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify27.0ms (0.3%)

Algorithm
egg-herbie
Rules
26×+-commutative
20×sub-neg
18×*-commutative
16×neg-mul-1
16×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028109
136109
249109
366109
482109
591109
695109
796109
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
0
Outputs
(log.f64 (-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
0
Compiler

Compiled 43 to 34 computations (20.9% saved)

soundness2.0s (20.6%)

Rules
1574×fma-neg
992×log-prod
896×times-frac
896×times-frac
896×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04326315
110266067
229815743
034237
1766225
074311157
118019617
261779617
04326315
110266067
229815743
04326315
110266067
229815743
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 399 to 294 computations (26.3% saved)

end0.0ms (0%)

preprocess66.0ms (0.7%)

Compiler

Compiled 98 to 74 computations (24.5% saved)

Profiling

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