Hyperbolic arc-cosine

Time bar (total: 4.8s)

analyze71.0ms (1.5%)

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)

sample2.3s (47.9%)

Results
867.0ms4156×body2048invalid
856.0ms8256×body256valid
332.0ms2066×body1024invalid
122.0ms1037×body512invalid
75.0ms1090×body256invalid
2.0ms9×body4096invalid
Bogosity

preprocess163.0ms (3.4%)

Algorithm
2×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
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
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))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify159.0ms (3.3%)

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))))

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Accurracy
51.9%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.9%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶51.9%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize44.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 x x) 1)
✓100.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓53.9%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@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))

rewrite91.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01064
121464
2291564
Stop Event
1×node limit
Counts
4 → 221
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(-.f64 (*.f64 x x) 1)
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(+.f64 (*.f64 x x) -1)
(+.f64 0 (fma.f64 x x -1))
(+.f64 -1 (*.f64 x x))
(+.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))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(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 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)

simplify106.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1054×fma-neg
662×cancel-sign-sub-inv
658×sqr-pow
630×log-prod
486×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05597503
112877175
239696851
Stop Event
1×node limit
Counts
269 → 355
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))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.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))) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.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 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.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 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(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)
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
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(/.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))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(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 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -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 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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))))
(+.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 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (+.f64 (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (-.f64 x (/.f64 1/16 (pow.f64 x 5))) (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) 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))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x))
(+.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))) x)))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.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 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (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))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (*.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) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (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 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (-.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (-.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 -1/4 (*.f64 x x)))
(+.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 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.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 (+.f64 (log.f64 -1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.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 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (log.f64 -1/2)))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 -1/2)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 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 0 (sqrt.f64 (fma.f64 x x -1)))
(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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (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 2 (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)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
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(*.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(pow.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 6)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 4)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 2/3)
(fma.f64 x x -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) 2))
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(expm1.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 2))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 2))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 x x -1))) 1/2))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(fma.f64 x x -1)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.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))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 (*.f64 x x) 1 -1)
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 x x -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 x x -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -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 x x -1)

eval130.0ms (2.7%)

Compiler

Compiled 5760 to 4170 computations (27.6% saved)

prune50.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3523355
Fresh000
Picked011
Done000
Total3524356
Accurracy
100.0%
Counts
356 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶3.1%
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶99.2%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓51.9%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶99.1%
(log.f64 (+.f64 x x))
▶3.1%
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶99.2%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓51.9%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶99.1%
(log.f64 (+.f64 x x))
Compiler

Compiled 68 to 48 computations (29.4% saved)

localize958.0ms (20.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓53.9%
(sqrt.f64 (fma.f64 x x -1))
✓7.0%
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
Compiler

Compiled 69 to 42 computations (39.1% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite86.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1140×unpow-prod-down
964×prod-diff
878×log-prod
560×fma-def
552×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
120255
2250655
Stop Event
1×node limit
Counts
3 → 242
Calls
Call 1
Inputs
(-.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 x (neg.f64 (sqrt.f64 (fma.f64 x 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 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 -1 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(+.f64 0 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (fma.f64 x 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))
(+.f64 (fma.f64 1 x (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))) 1))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 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 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 1 1/3) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) 1) (pow.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1 (pow.f64 (fma.f64 x x -1) 3/2))) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 2)) (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))))))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) 1))
(pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
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(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 (log.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 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 (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 0 (log.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 (*.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 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4))) (log.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (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 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (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 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (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 (pow.f64 x 3) (*.f64 -1 (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 2))) (log.f64 (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (*.f64 3 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(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 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (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))

simplify136.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1728×fma-neg
940×log-prod
742×exp-prod
616×cube-prod
582×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065211456
1160410384
2522110304
Stop Event
1×node limit
Counts
278 → 394
Calls
Call 1
Inputs
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) x)
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 x (*.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 (*.f64 -1 (sqrt.f64 -1)) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.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 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.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))))))
(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 (neg.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 x (sqrt.f64 -1))) (log.f64 (neg.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (*.f64 -1 (/.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.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 (*.f64 -1 (log.f64 (/.f64 -1 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 (+.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 x (neg.f64 (sqrt.f64 (fma.f64 x 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 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 -1 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(+.f64 0 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (fma.f64 x 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))
(+.f64 (fma.f64 1 x (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
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(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))) (+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.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)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.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)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.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 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -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 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (-.f64 x 1) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(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 (log.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 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 (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 0 (log.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 (*.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 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4))) (log.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (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 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (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 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (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 (pow.f64 x 3) (*.f64 -1 (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 2))) (log.f64 (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (*.f64 3 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(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 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (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
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) x)
(fma.f64 -1 (sqrt.f64 -1) x)
(-.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (fma.f64 -1 (sqrt.f64 -1) x) (/.f64 (*.f64 -1/2 (*.f64 x x)) (sqrt.f64 -1)))
(-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x) (sqrt.f64 -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))))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (fma.f64 -1 (sqrt.f64 -1) x) (/.f64 (*.f64 -1/2 (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x) (-.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (sqrt.f64 -1)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
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(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
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(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 1 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 1/3 (*.f64 3 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/3) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 4) 2)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(fabs.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (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 (fma.f64 x x (fma.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)))))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(fabs.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (*.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))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval244.0ms (5.1%)

Compiler

Compiled 8161 to 6001 computations (26.5% saved)

prune59.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3940394
Fresh000
Picked033
Done011
Total3944398
Accurracy
100.0%
Counts
398 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓3.1%
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓99.2%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓51.9%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓99.1%
(log.f64 (+.f64 x x))
Compiler

Compiled 65 to 45 computations (30.8% saved)

regimes12.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Calls

3 calls:

4.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms
(+.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 52 to 35 computations (32.7% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
11534
22234
32634
42934
53034
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness125.0ms (2.6%)

Rules
1054×fma-neg
662×cancel-sign-sub-inv
658×sqr-pow
630×log-prod
486×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05597503
112877175
239696851
Stop Event
1×node limit
Compiler

Compiled 39 to 31 computations (20.5% saved)

end27.0ms (0.6%)

Compiler

Compiled 46 to 32 computations (30.4% saved)

Profiling

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