Hyperbolic arc-cosine

Time bar (total: 6.9s)

analyze125.0ms (1.8%)

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

Compiled 11 to 8 computations (27.3% saved)

sample2.8s (40.4%)

Results
1.1s4242×body2048invalid
1.0s8256×body256valid
404.0ms2062×body1024invalid
144.0ms1041×body512invalid
89.0ms1062×body256invalid
2.0ms7×body4096invalid
Bogosity

preprocess261.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1460×fma-def
1306×distribute-lft-out
1242×distribute-rgt-out--
1042×unsub-neg
932×sub-neg
Problems
128×(sqrt.f64 (-.f64 (*.f64 x x) 1))
126×No Errors
1×(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1×(-.f64 (*.f64 x x) 1)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01650
14046
27346
316846
440046
590346
6168346
7319446
8423446
9487446
10516446
11547246
12562646
13569946
14591046
15667746
16685846
Stop Event
1×node limit
Calls
Call 1
Inputs
(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 (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 46 to 26 computations (43.5% saved)

simplify245.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1668×fma-neg
1246×unsub-neg
1016×sub-neg
834×distribute-neg-in
720×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
12123
22523
34023
48123
515723
636623
776423
8258723
9453123
10585623
11654323
12685023
13704023
14714523
15746523
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x 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))))

eval2.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune7.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Accurracy
51.2%
Counts
3 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.2%
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
▶51.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶51.2%
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
▶51.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 38 to 26 computations (31.6% saved)

localize109.0ms (1.6%)

Local Accuracy

Found 5 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓53.1%
(sqrt.f64 (fma.f64 x x -1))
✓100.0%
(-.f64 (*.f64 x x) 1)
✓99.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓53.1%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 61 to 33 computations (45.9% saved)

series5.0ms (0.1%)

Counts
5 → 60
Calls

15 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))))
0.0ms
x
@0
(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms
x
@inf
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite102.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1008×log-prod
946×fma-def
672×pow-prod-down
548×pow-prod-up
546×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01681
133781
2328381
Stop Event
1×node limit
Counts
5 → 214
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(-.f64 (*.f64 x x) 1)
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (+.f64 x (sqrt.f64 (fma.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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (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 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 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 (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 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.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 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 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 (*.f64 x x) -1)
(+.f64 -1 (*.f64 x x))
(+.f64 0 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 3/4))
(*.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (pow.f64 (fma.f64 x x -1) 3/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (fma.f64 x x -1) 5/6) (pow.f64 (fma.f64 x x -1) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 6)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 2/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) 2))
(expm1.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 x x -1))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 (*.f64 x x) 1 -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(+.f64 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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (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 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 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 (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 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.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 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 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))

simplify123.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
652×times-frac
624×fma-neg
618×associate-+l+
588×associate-+r+
518×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03897344
18686988
228556696
Stop Event
1×node limit
Counts
274 → 235
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.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 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.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 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (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 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 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 (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 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.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 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 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 (*.f64 x x) -1)
(+.f64 -1 (*.f64 x x))
(+.f64 0 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 3/4))
(*.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (pow.f64 (fma.f64 x x -1) 3/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (fma.f64 x x -1) 5/6) (pow.f64 (fma.f64 x x -1) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 6)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 2/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) 2))
(expm1.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 x x -1))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 (*.f64 x x) 1 -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(+.f64 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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (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 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 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 (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 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.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 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 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))
Outputs
(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 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
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x
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(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
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-1
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(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
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(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(sqrt.f64 -1)
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x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
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(*.f64 -1 x)
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(log.f64 (sqrt.f64 -1))
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(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(neg.f64 (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)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(log1p.f64 (+.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))

eval295.0ms (4.3%)

Compiler

Compiled 3571 to 2625 computations (26.5% saved)

prune106.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2305235
Fresh000
Picked112
Done000
Total2316237
Accurracy
100.0%
Counts
237 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(+.f64 (log.f64 2) (log.f64 x))
▶3.0%
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶99.0%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓51.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶51.2%
(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
▶98.8%
(log.f64 (+.f64 x x))
▶98.9%
(+.f64 (log.f64 2) (log.f64 x))
▶3.0%
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶99.0%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓51.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶51.2%
(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
▶98.8%
(log.f64 (+.f64 x x))
Compiler

Compiled 188 to 134 computations (28.7% saved)

localize530.0ms (7.7%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓53.1%
(sqrt.f64 (fma.f64 x x -1))
✓6.8%
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓100.0%
(*.f64 (+.f64 x 1) (+.f64 x -1))
✓99.6%
(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
✓53.1%
(sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓99.8%
(+.f64 (log.f64 2) (log.f64 x))
✓99.6%
(log.f64 (+.f64 x x))
✓99.6%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Compiler

Compiled 126 to 79 computations (37.3% saved)

series173.0ms (2.5%)

Counts
9 → 104
Calls

27 calls:

TimeVariablePointExpression
54.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
49.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
22.0ms
x
@0
(log.f64 (+.f64 x x))
21.0ms
x
@-inf
(log.f64 (+.f64 x x))
14.0ms
x
@inf
(+.f64 (log.f64 2) (log.f64 x))

rewrite98.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
612×add-sqr-sqrt
596×pow1
596×*-un-lft-identity
576×add-exp-log
566×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028185
1614141
Stop Event
1×node limit
Counts
9 → 275
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
Outputs
(+.f64 0 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 0 (/.f64 0 0))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) 1)
(*.f64 1 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 2) 1))
(+.f64 (*.f64 (log.f64 2) 1) (*.f64 (log.f64 x) 1))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 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 0) (log.f64 0))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 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 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (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 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (fma.f64 x x -1) 1/2)
(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 0 (log.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 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (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 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.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 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(+.f64 (*.f64 x x) -1)
(+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(+.f64 (*.f64 (+.f64 x 1) x) (*.f64 (+.f64 x 1) -1))
(+.f64 (*.f64 (+.f64 x 1) -1) (*.f64 (+.f64 x 1) x))
(+.f64 (*.f64 x (+.f64 x 1)) (+.f64 -1 (neg.f64 x)))
(+.f64 (+.f64 -1 (neg.f64 x)) (*.f64 x (+.f64 x 1)))
(+.f64 (*.f64 (*.f64 x x) 1) -1)
(+.f64 (*.f64 (+.f64 x -1) x) (*.f64 (+.f64 x -1) 1))
(+.f64 (*.f64 (+.f64 x -1) 1) (*.f64 (+.f64 x -1) x))
(+.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(+.f64 (*.f64 (*.f64 (+.f64 x 1) x) 1) (*.f64 (*.f64 (+.f64 x 1) -1) 1))
(+.f64 (*.f64 (*.f64 x (+.f64 x 1)) 1) (*.f64 (+.f64 -1 (neg.f64 x)) 1))
(-.f64 (*.f64 x x) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1))) 1)
(/.f64 (pow.f64 (fma.f64 x x -1) 2) (fma.f64 x x -1))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (+.f64 x -1)))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 (pow.f64 x 3) -1)) (*.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) -1)) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) (+.f64 (pow.f64 x 3) 1)) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 (pow.f64 x 3) 1)) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 1 (*.f64 (*.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) x) 3) (pow.f64 (*.f64 (+.f64 x 1) -1) 3)) (+.f64 (*.f64 (*.f64 (+.f64 x 1) x) (*.f64 (+.f64 x 1) x)) (-.f64 (*.f64 (*.f64 (+.f64 x 1) -1) (*.f64 (+.f64 x 1) -1)) (*.f64 (*.f64 (+.f64 x 1) x) (*.f64 (+.f64 x 1) -1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1)) 3) (pow.f64 (+.f64 -1 (neg.f64 x)) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 x 1)) (*.f64 x (+.f64 x 1))) (-.f64 (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 -1 (neg.f64 x))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 -1 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 (*.f64 x x) 1))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (-.f64 (*.f64 x x) -1))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (+.f64 (*.f64 x x) 1))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x 1) x) (*.f64 (+.f64 x 1) x)) (*.f64 (*.f64 (+.f64 x 1) -1) (*.f64 (+.f64 x 1) -1))) (-.f64 (*.f64 (+.f64 x 1) x) (*.f64 (+.f64 x 1) -1)))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 x 1)) (*.f64 x (+.f64 x 1))) (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) (-.f64 (*.f64 x (+.f64 x 1)) (+.f64 -1 (neg.f64 x))))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x (+.f64 x 1) (+.f64 -1 (neg.f64 x)))
(fma.f64 (+.f64 x 1) x (*.f64 (+.f64 x 1) -1))
(+.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x -1))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (fma.f64 1 x (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(+.f64 (fma.f64 1 x (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.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 (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 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (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))) 1))
(/.f64 -1 (neg.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 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))) (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))
(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))) 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 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (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 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (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 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (fma.f64 x x -1) 1/2)
(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 0 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (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 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.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 1 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log1p.f64 (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))

simplify84.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
236×+-commutative
182×*-commutative
158×sqr-pow
138×fma-def
132×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07257833
127947833
Stop Event
1×unsound
Counts
379 → 382
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
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(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(pow.f64 (fma.f64 x x -1) 1/2)
(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 0 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (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 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.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 1 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log1p.f64 (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(log.f64 x)
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (fma.f64 -4 (*.f64 x x) (log.f64 x)) -1)
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (*.f64 x x) (log.f64 x))) -1)
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (*.f64 x x) (fma.f64 -64/3 (*.f64 x x) (log.f64 x)))) -1)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 x)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (log.f64 x) (+.f64 (/.f64 1/32 (*.f64 x x)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (log.f64 x) (+.f64 (/.f64 1/32 (*.f64 x x)) (+.f64 (/.f64 1/192 (*.f64 x x)) (/.f64 -1 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 x) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -2) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -2) (+.f64 (/.f64 1/32 (*.f64 x x)) (/.f64 -1 (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 x) (log.f64 -2)) (+.f64 (/.f64 1/32 (*.f64 x x)) (+.f64 (/.f64 1/192 (*.f64 x x)) (/.f64 -1 (*.f64 x x)))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 x) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 x) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 x) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 x) (log.f64 -2))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(log.f64 x)
(sqrt.f64 -1)
-1
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 -1 (/.f64 (*.f64 x x) -1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (*.f64 x x) -1) (+.f64 -1 (/.f64 (*.f64 x x) -1)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (*.f64 x x) -1) (+.f64 -1 (+.f64 (/.f64 (*.f64 x x) -1) (*.f64 (/.f64 (*.f64 x x) -1) 1/16))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (+.f64 (/.f64 -1 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1 (*.f64 x x))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(neg.f64 x)
(-.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (fma.f64 -1 x (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (fma.f64 -1 x (/.f64 -1 x))) (/.f64 1/16 (pow.f64 x 5)))
(log.f64 (sqrt.f64 -1))
-1
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 -1 (/.f64 x -1))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(fma.f64 -1/6 (/.f64 (*.f64 x x) -1) (+.f64 -1 (/.f64 x -1)))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) -1) (fma.f64 -1/6 (/.f64 (*.f64 x x) -1) (+.f64 -1 (/.f64 x -1))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 x)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (log.f64 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3/32 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (*.f64 x x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 5/96 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1))))
(+.f64 (log.f64 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)) (+.f64 (*.f64 -1/24 (/.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2))) (*.f64 3 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 x 2)))))))
(+.f64 (log.f64 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/24 (*.f64 x x))))
(+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 45 (/.f64 1 (*.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 45 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 30 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 3))))) (pow.f64 x 6))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)) (+.f64 (*.f64 -1/24 (/.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2))) (*.f64 3 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 x 2))))))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/24 (*.f64 x x)))) (/.f64 1/6 (*.f64 x x)))
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(*.f64 -1 (sqrt.f64 -1))
-1
(+.f64 (*.f64 -1 (sqrt.f64 -1)) x)
(+.f64 x -1)
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (+.f64 x -1) (/.f64 (*.f64 x x) -1))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (/.f64 (*.f64 x x) -1) (+.f64 (+.f64 x -1) (/.f64 (*.f64 x x) -1)))
(/.f64 1/2 x)
(/.f64 -1 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1 (*.f64 x x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 5/128 (pow.f64 x 7)))))
(*.f64 2 x)
(neg.f64 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 -1 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (fma.f64 -1 x (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (fma.f64 -1 x (/.f64 -1 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1/16 (pow.f64 x 5))))
(sqrt.f64 -1)
-1
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 -1 (/.f64 (*.f64 x x) -1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (*.f64 x x) -1) (+.f64 -1 (/.f64 (*.f64 x x) -1)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (*.f64 x x) -1) (+.f64 -1 (+.f64 (/.f64 (*.f64 x x) -1) (*.f64 (/.f64 (*.f64 x x) -1) 1/16))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (+.f64 (/.f64 -1 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1 (*.f64 x x))))
(*.f64 -1 x)
(neg.f64 x)
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(/.f64 (+.f64 x (fma.f64 x x -1)) (-.f64 (+.f64 x (fma.f64 x x -1)) (*.f64 x (fma.f64 x x -1))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(/.f64 -1 (+.f64 x (fma.f64 x x -1)))
(/.f64 -1 (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 -1 (+.f64 x (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 x (fma.f64 x x -1)) (-.f64 (+.f64 x (fma.f64 x x -1)) (*.f64 x (fma.f64 x x -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 x (fma.f64 x x -1)) (neg.f64 (-.f64 (+.f64 x (fma.f64 x x -1)) (*.f64 x (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 x (fma.f64 x x -1)) (-.f64 (+.f64 x (fma.f64 x x -1)) (*.f64 x (fma.f64 x x -1))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))) (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 x (fma.f64 x x -1)) (+.f64 x (fma.f64 x x -1)))
(pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (fma.f64 x x -1))
(pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 -1 (log.f64 (+.f64 x (fma.f64 x x -1))))
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (fma.f64 x x -1))
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 x (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (+.f64 x (fma.f64 x x -1)) (log.f64 (+.f64 x (fma.f64 x x -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(sqrt.f64 (+.f64 x (fma.f64 x x -1)))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (fma.f64 x x -1))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(+.f64 x (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (fma.f64 x x -1))
(fma.f64 1 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (fma.f64 x x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (cbrt.f64 x) (fma.f64 x x -1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x x -1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(fma.f64 x x -1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(fma.f64 x x -1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(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))
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(fma.f64 x x -1)
(pow.f64 (fma.f64 x x -1) 1/2)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fma.f64 x x -1)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(fabs.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(fma.f64 x x -1)
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(+.f64 0 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 x (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 x (fma.f64 x x -1))) (log.f64 (+.f64 x (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 -1 (log.f64 (sqrt.f64 (+.f64 x (fma.f64 x x -1)))))
(-.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (+.f64 x (fma.f64 x x -1))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (+.f64 x (fma.f64 x x -1))) (log.f64 (-.f64 (+.f64 x (fma.f64 x x -1)) (*.f64 x (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(log.f64 (+.f64 x (fma.f64 x x -1)))
(*.f64 1 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 x (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (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))))))
(log.f64 (+.f64 x (fma.f64 x x -1)))
(pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(log.f64 (+.f64 x (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(log.f64 (+.f64 x (fma.f64 x x -1)))
(pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(log.f64 (+.f64 x (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(log.f64 (+.f64 x (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(sqrt.f64 (log.f64 (+.f64 x (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (+.f64 x (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (fma.f64 x x -1)))
(exp.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log.f64 (+.f64 x (fma.f64 x x -1)))
(log1p.f64 (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (+.f64 (+.f64 x (fma.f64 x x -1)) -1))

eval153.0ms (2.2%)

Compiler

Compiled 6074 to 4422 computations (27.2% saved)

prune59.0ms (0.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New3793382
Fresh000
Picked145
Done011
Total3808388
Accurracy
100.0%
Counts
388 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶1.1%
(+.f64 -1 (/.f64 x -1))
▶99.2%
(neg.f64 (log.f64 (/.f64 1/2 x)))
✓3.0%
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓99.0%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓51.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓51.2%
(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
✓98.8%
(log.f64 (+.f64 x x))
▶31.4%
(log.f64 x)
▶1.1%
(+.f64 -1 (/.f64 x -1))
▶99.2%
(neg.f64 (log.f64 (/.f64 1/2 x)))
✓3.0%
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓99.0%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓51.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓51.2%
(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
✓98.8%
(log.f64 (+.f64 x x))
▶31.4%
(log.f64 x)
Compiler

Compiled 122 to 88 computations (27.9% saved)

localize57.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (/.f64 1/2 x))
Compiler

Compiled 29 to 20 computations (31% saved)

series39.0ms (0.6%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
19.0ms
x
@-inf
(log.f64 (/.f64 1/2 x))
15.0ms
x
@0
(log.f64 (/.f64 1/2 x))
5.0ms
x
@inf
(log.f64 (/.f64 1/2 x))

rewrite65.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1300×pow1
1200×add-exp-log
1200×log1p-expm1-u
1200×expm1-log1p-u
1170×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114211
2164611
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(log.f64 (/.f64 1/2 x))
Outputs
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) (log.f64 (sqrt.f64 (/.f64 1/2 x))))
(+.f64 0 (log.f64 (/.f64 1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 1/2 x))))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (*.f64 x 2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 1/2 x))) 1)
(*.f64 (log.f64 (/.f64 1/2 x)) 1)
(*.f64 1 (log.f64 (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 1/2) (log.f64 1/2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) (log.f64 1/2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 1/2) (log.f64 x)))
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 1/2 x))))
(log1p.f64 (-.f64 (/.f64 1/2 x) 1))

simplify246.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1186×fma-neg
742×log-prod
608×associate-*r*
528×div-sub
510×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083571
1167571
2556571
33315571
46184571
Stop Event
1×node limit
Counts
37 → 35
Calls
Call 1
Inputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) (log.f64 (sqrt.f64 (/.f64 1/2 x))))
(+.f64 0 (log.f64 (/.f64 1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 1/2 x))))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (*.f64 x 2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 1/2 x))) 1)
(*.f64 (log.f64 (/.f64 1/2 x)) 1)
(*.f64 1 (log.f64 (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 1/2) (log.f64 1/2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) (log.f64 1/2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 1/2) (log.f64 x)))
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 1/2 x))))
(log1p.f64 (-.f64 (/.f64 1/2 x) 1))
Outputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) (log.f64 (sqrt.f64 (/.f64 1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 1/2 x))))
(*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) 2)
(+.f64 0 (log.f64 (/.f64 1/2 x)))
(log.f64 (/.f64 1/2 x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 1/2 x))))
(-.f64 (log.f64 1/2) (log.f64 x))
(log.f64 (/.f64 1/2 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (*.f64 x 2)))
(neg.f64 (log.f64 (*.f64 x 2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 1/2 x))) 1)
(log.f64 (/.f64 1/2 x))
(*.f64 (log.f64 (/.f64 1/2 x)) 1)
(log.f64 (/.f64 1/2 x))
(*.f64 1 (log.f64 (/.f64 1/2 x)))
(log.f64 (/.f64 1/2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2))
(log.f64 (/.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))))
(log.f64 (/.f64 1/2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))))
(log.f64 (/.f64 1/2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 1/2) (log.f64 1/2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 1/2) (log.f64 1/2) (*.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 1/2) (log.f64 x)) (*.f64 (log.f64 1/2) (log.f64 1/2))))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) (log.f64 1/2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 1/2) (log.f64 x)))
(log.f64 (/.f64 1/2 x))
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
(log.f64 (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 3)
(log.f64 (/.f64 1/2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) 1/3)
(log.f64 (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) 2)
(log.f64 (/.f64 1/2 x))
(neg.f64 (log.f64 (*.f64 x 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 2))
(log.f64 (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3))
(log.f64 (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 1/2 x))))
(log.f64 (/.f64 1/2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 1/2 x))))
(log.f64 (/.f64 1/2 x))
(log1p.f64 (-.f64 (/.f64 1/2 x) 1))
(log1p.f64 (+.f64 (/.f64 1/2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 1/2 x)))

eval14.0ms (0.2%)

Compiler

Compiled 352 to 286 computations (18.8% saved)

prune15.0ms (0.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New35035
Fresh000
Picked033
Done055
Total35843
Accurracy
100.0%
Counts
43 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓1.1%
(+.f64 -1 (/.f64 x -1))
✓99.2%
(neg.f64 (log.f64 (/.f64 1/2 x)))
✓3.0%
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓99.0%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓51.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓51.2%
(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
✓98.8%
(log.f64 (+.f64 x x))
✓31.4%
(log.f64 x)
Compiler

Compiled 128 to 89 computations (30.5% saved)

regimes37.0ms (0.5%)

Counts
10 → 1
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 x -1))
(log.f64 x)
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(log.f64 (+.f64 x (-.f64 x (/.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 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
Outputs
(neg.f64 (log.f64 (/.f64 1/2 x)))
Calls

3 calls:

12.0ms
x
10.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
10.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 88 to 59 computations (33% saved)

regimes8.0ms (0.1%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes9.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
31.4%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
1.1%1x
Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01444
11844
22044
32144
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(log.f64 x)
(+.f64 -1 (/.f64 x -1))
Outputs
(neg.f64 (log.f64 (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(log.f64 x)
(+.f64 -1 (/.f64 x -1))
Compiler

Compiled 20 to 15 computations (25% saved)

soundness1.1s (15.8%)

Rules
1008×log-prod
1008×log-prod
946×fma-def
946×fma-def
672×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01681
133781
2328381
03897344
18686988
228556696
01681
133781
2328381
07257833
127947833
03897344
18686988
228556696
07257833
127947833
Stop Event
1×unsound
1×node limit
1×unsound
1×node limit
1×node limit
1×node limit
Compiler

Compiled 397 to 250 computations (37% saved)

end0.0ms (0%)

preprocess33.0ms (0.5%)

Compiler

Compiled 54 to 38 computations (29.6% saved)

Profiling

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