Hyperbolic arc-(co)secant

Time bar (total: 4.9s)

analyze3.0ms (0.1%)

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
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.0s (41.3%)

Results
1.7s8256×body256valid
2.0ms22×body256invalid
Bogosity

preprocess336.0ms (6.9%)

Algorithm
2×egg-herbie
Rules
1468×fma-def
1260×distribute-lft-out
1098×unsub-neg
798×distribute-rgt-in
750×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
12039
22739
33939
45639
58439
613139
734739
873639
9157039
10294239
11465139
12559439
13591239
14619839
15636739
16644439
17671139
18770939
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify174.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1468×fma-def
1260×distribute-lft-out
1098×unsub-neg
798×distribute-rgt-in
750×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
12039
22739
33939
45639
58439
613139
734739
873639
9157039
10294239
11465139
12559439
13591239
14619839
15636739
16644439
17671139
18770939
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

eval0.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize69.0ms (1.4%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiled 54 to 30 computations (44.4% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite88.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1138×log-prod
848×fma-def
812×pow-prod-down
616×pow-exp
572×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01175
124675
2358675
Stop Event
1×node limit
Counts
3 → 173
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (/.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 1 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))
(*.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x))
(*.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (pow.f64 x -2))
(*.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x))) (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (*.f64 x x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) (*.f64 x (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (pow.f64 (neg.f64 x) 2))
(/.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -1)) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (neg.f64 x) (*.f64 x -1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x (*.f64 (neg.f64 x) 1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (pow.f64 (neg.f64 x) 2))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)) (pow.f64 x -2)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) 1) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x) 2)
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x))) (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x)) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 1 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (/.f64 1 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) 1 (/.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 0 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (fma.f64 x (neg.f64 x) 1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(+.f64 0 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(*.f64 (/.f64 1 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) 1)
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) x))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 3)
(pow.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -1)
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1) -1)
(pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2)
(pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) 1/3)
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (neg.f64 x)))
(sqrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))

simplify109.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
992×unswap-sqr
562×div-sub
498×fma-def
478×cancel-sign-sub-inv
422×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04708233
111847657
239107535
Stop Event
1×node limit
Counts
209 → 317
Calls
Call 1
Inputs
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (/.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 1 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))
(*.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x))
(*.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (pow.f64 x -2))
(*.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x))) (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (*.f64 x x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) (*.f64 x (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (*.f64 x (neg.f64 x)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
Outputs
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1 x) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(-.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3))))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (-.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))))
(-.f64 (/.f64 1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3)))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 (-.f64 (/.f64 1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3)))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))) (/.f64 -1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 1 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 -1 (sqrt.f64 -1) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (sqrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (-.f64 (/.f64 1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))) (sqrt.f64 -1)) (-.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (sqrt.f64 -1)) (/.f64 -1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))) 1)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (/.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(*.f64 x (/.f64 (*.f64 (+.f64 (+.f64 (*.f64 x x) -1) 1) (pow.f64 x -2)) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(*.f64 (*.f64 (+.f64 (+.f64 -1 (*.f64 x x)) 1) (pow.f64 x -2)) (/.f64 x (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(*.f64 1 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(*.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 1)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
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(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) 3)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) 1/3)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 2)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(fabs.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 1))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6)) 3))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(+.f64 0 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 1)
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 1 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 x))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) 1)
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (/.f64 1 x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (/.f64 1 x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 1 (neg.f64 x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) x))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) x))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) 1)
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 3)
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(pow.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)) 1/2)
(sqrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -3) 1/3)
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 2)
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -1)
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1) -1)
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6)) 3)
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(pow.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2)
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3)))
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (neg.f64 x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(sqrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -3))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 1))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 1) 1))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 3))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -3)) 1/3))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 3) 1/3))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 2))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)

eval132.0ms (2.7%)

Compiler

Compiled 6509 to 4585 computations (29.6% saved)

prune42.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3143317
Fresh000
Picked011
Done000
Total3144318
Accurracy
100.0%
Counts
318 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
▶99.1%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶99.9%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
▶100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
▶99.1%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶99.9%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 84 to 64 computations (23.8% saved)

localize109.0ms (2.3%)

Local Accuracy

Found 5 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
✓100.0%
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
✓100.0%
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
✓100.0%
(log.f64 (/.f64 2 x))
✓100.0%
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
Compiler

Compiled 89 to 59 computations (33.7% saved)

series48.0ms (1%)

Counts
5 → 51
Calls

15 calls:

TimeVariablePointExpression
24.0ms
x
@0
(log.f64 (/.f64 2 x))
16.0ms
x
@-inf
(log.f64 (/.f64 2 x))
6.0ms
x
@inf
(log.f64 (/.f64 2 x))
0.0ms
x
@0
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
0.0ms
x
@inf
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))

rewrite110.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1602×log-prod
1082×fma-def
608×expm1-udef
606×log1p-udef
430×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01995
140783
2521165
Stop Event
1×node limit
Counts
5 → 314
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
Outputs
(-.f64 (*.f64 -1/2 x) (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 -1/2 x (/.f64 2 x))) (/.f64 (*.f64 4 (pow.f64 x -2)) (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2) (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))) (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 -1/2 x (/.f64 2 x)) (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)))
(/.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2) (fma.f64 -1/2 x (/.f64 2 x)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)) (neg.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (fma.f64 1/4 (*.f64 x x) (fma.f64 4 (pow.f64 x -2) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (*.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
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(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1 (/.f64 2 x)))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (/.f64 1 x)) 2))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2 x))))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (*.f64 (pow.f64 x -1/2) 2)))
(+.f64 (log.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2)))))
(+.f64 (log.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2)))) (log.f64 (/.f64 1 (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x -1/2))) (log.f64 (pow.f64 x -1/2)))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 -2) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 0 (hypot.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x))) (cbrt.f64 (exp.f64 (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(*.f64 1 (hypot.f64 1 x))
(*.f64 (hypot.f64 1 x) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))
(pow.f64 (fma.f64 x x 1) 1/2)
(pow.f64 (hypot.f64 1 x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(fabs.f64 (hypot.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(expm1.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(hypot.f64 1 x)
(exp.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1))
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(fma.f64 1 (+.f64 1 (hypot.f64 1 x)) -1)
(fma.f64 (+.f64 1 (hypot.f64 1 x)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) -1)
(fma.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (fma.f64 x x 1) (hypot.f64 1 x)))) -1)
(fma.f64 (-.f64 1 (fma.f64 x x 1)) (/.f64 1 (-.f64 1 (hypot.f64 1 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 1 (hypot.f64 1 x))))
(*.f64 1 (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (fma.f64 x x 1) (hypot.f64 1 x)))))
(*.f64 (-.f64 1 (fma.f64 x x 1)) (/.f64 1 (-.f64 1 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (fma.f64 x x 1) (hypot.f64 1 x))) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (hypot.f64 1 x)) (-.f64 1 (fma.f64 x x 1))))
(/.f64 (*.f64 x x) (-.f64 (hypot.f64 1 x) 1))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (-.f64 (fma.f64 x x 1) (hypot.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 1 (fma.f64 x x 1)) (-.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 1 (-.f64 (fma.f64 x x 1) (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (fma.f64 x x 1))) (neg.f64 (-.f64 1 (hypot.f64 1 x))))
(pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x))))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))
(fma.f64 1 (hypot.f64 1 x) 1)
(fma.f64 (hypot.f64 1 x) 1 1)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) 1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) 1)
(fma.f64 (pow.f64 1 1/2) (hypot.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2) 1)
(+.f64 0 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(*.f64 (/.f64 1 x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (+.f64 -1 (neg.f64 (hypot.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) -1)
(neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(exp.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))

simplify130.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
800×cancel-sign-sub-inv
652×fma-neg
456×fma-def
432×log-prod
410×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06499605
114759229
249248869
Stop Event
1×node limit
Counts
365 → 480
Calls
Call 1
Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
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(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(exp.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))))
(-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
(-.f64 (-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(-.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) 2))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))) (fma.f64 -1/2 (*.f64 x x) 2))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (*.f64 x (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(+.f64 1 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x) (fma.f64 x (sqrt.f64 -1) 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x) (fma.f64 x (sqrt.f64 -1) 1)) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 -1)) x))
(-.f64 1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 (-.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 1 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 1 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))))
(-.f64 (+.f64 1 (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1)))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 x -1/2 (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (+.f64 (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(-.f64 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 -1/2 x (/.f64 2 x))) (/.f64 (*.f64 4 (pow.f64 x -2)) (fma.f64 -1/2 x (/.f64 2 x))))
(-.f64 (/.f64 1/4 (/.f64 (fma.f64 x -1/2 (/.f64 2 x)) (*.f64 x x))) (/.f64 (*.f64 4 (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 2 x))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 (/.f64 2 x)))) (*.f64 4 (/.f64 (pow.f64 x -2) (fma.f64 x -1/2 (/.f64 2 x)))))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 (/.f64 2 x))) (/.f64 -4 (/.f64 (fma.f64 x -1/2 (/.f64 2 x)) (pow.f64 x -2))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2) (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 x (*.f64 x 1/4)) (+.f64 (*.f64 4 (pow.f64 x -2)) 1)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 -2 x))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))) (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 x (*.f64 x 1/4)) (+.f64 (*.f64 4 (pow.f64 x -2)) 1)))
(/.f64 1 (/.f64 (fma.f64 -1/2 x (/.f64 2 x)) (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)))
(fma.f64 x -1/2 (/.f64 2 x))
(/.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 x (*.f64 x 1/4)) (+.f64 (*.f64 4 (pow.f64 x -2)) 1)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 (*.f64 x (/.f64 2 x))))))
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(*.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 1 x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(*.f64 (+.f64 -1 (neg.f64 (hypot.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (*.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (hypot.f64 1 x))) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 x))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 1)
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 3)
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 3) 1/3)
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 2)
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) -1)
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(*.f64 (/.f64 1 x) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 2))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(log.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(*.f64 (/.f64 1 x) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(*.f64 (/.f64 1 x) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 3))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) (/.f64 (pow.f64 x -2) x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) (pow.f64 x 3)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(exp.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) x)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)

eval174.0ms (3.6%)

Compiler

Compiled 7974 to 6237 computations (21.8% saved)

prune66.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4782480
Fresh000
Picked033
Done011
Total4786484
Accurracy
100.0%
Counts
484 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
▶99.1%
(log1p.f64 (-.f64 (/.f64 2 x) 1))
✓100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
✓99.1%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.9%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
▶99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
▶99.1%
(log1p.f64 (-.f64 (/.f64 2 x) 1))
✓100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
✓99.1%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.9%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 110 to 86 computations (21.8% saved)

localize54.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log1p.f64 (-.f64 (/.f64 2 x) 1))
Compiler

Compiled 33 to 25 computations (24.2% saved)

series20.0ms (0.4%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(log1p.f64 (-.f64 (/.f64 2 x) 1))
7.0ms
x
@0
(log1p.f64 (-.f64 (/.f64 2 x) 1))
6.0ms
x
@inf
(log1p.f64 (-.f64 (/.f64 2 x) 1))

rewrite56.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1716×pow1
1592×add-exp-log
1590×log1p-expm1-u
1590×expm1-log1p-u
1566×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
119011
2228111
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (/.f64 2 x) 1))
Outputs
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))

simplify54.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
856×unsub-neg
744×fma-neg
664×associate-+r+
652×associate-+l+
618×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069481
1118481
2414481
32833481
45708481
Stop Event
1×node limit
Counts
35 → 27
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 2 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (/.f64 2 x))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))

eval5.0ms (0.1%)

Compiler

Compiled 202 to 167 computations (17.3% saved)

prune8.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New26127
Fresh000
Picked022
Done044
Total26733
Accurracy
100.0%
Counts
33 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
✓99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
✓99.1%
(log1p.f64 (-.f64 (/.f64 2 x) 1))
✓100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
✓99.1%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.9%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
▶99.1%
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
✓99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
✓99.1%
(log1p.f64 (-.f64 (/.f64 2 x) 1))
✓100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
✓99.1%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.9%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 128 to 102 computations (20.3% saved)

localize48.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 26 to 21 computations (19.2% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)

rewrite69.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1148×unpow-prod-down
790×log-prod
632×fma-def
478×prod-diff
468×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
121811
2288011
Stop Event
1×node limit
Counts
1 → 102
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
Outputs
(+.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 -1 (+.f64 1 (log.f64 (/.f64 2 x))))
(+.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
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(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
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(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 1))
(*.f64 -1 (log.f64 (*.f64 x 1/2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)) 1))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x)))))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (log.f64 (/.f64 2 x)) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 2) (+.f64 (log.f64 (/.f64 2 x)) -1))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 2)) (-.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x)))))) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))) -1)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1))
(hypot.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 (/.f64 2 x)) 0)
(fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)
(fma.f64 (log.f64 (/.f64 2 x)) 1 0)
(fma.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1 -1)
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 2) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) (-.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 0)

simplify63.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1132×associate-+r+
1046×associate-+l+
928×cancel-sign-sub-inv
520×*-commutative
438×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02682988
16302856
221182846
Stop Event
1×node limit
Counts
114 → 131
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1))
(+.f64 (log.f64 (/.f64 2 x)) 0)
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(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
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(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(*.f64 1 (log.f64 (/.f64 2 x)))
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(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
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(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 1))
(*.f64 -1 (log.f64 (*.f64 x 1/2)))
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(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 1))
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(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x)))))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (log.f64 (/.f64 2 x)) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 2) (+.f64 (log.f64 (/.f64 2 x)) -1))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 2)) (-.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x)))))) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))) -1)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1))
(hypot.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 (/.f64 2 x)) 0)
(fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)
(fma.f64 (log.f64 (/.f64 2 x)) 1 0)
(fma.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1 -1)
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 2) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) (-.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 0)
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))
(log.f64 (/.f64 2 x))
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 -1 (+.f64 1 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(+.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) 3)
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) 3)
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(log.f64 (/.f64 2 x))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) 3)
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 1))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))) 2))))
(*.f64 -1 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (log.f64 (/.f64 2 x))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)) 1))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (log.f64 (/.f64 2 x))))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1/2)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 (/.f64 2 x))))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1/2)))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1/2)))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1/2)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 (/.f64 2 x))))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1/2)))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x)))))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))) 2))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))) 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (log.f64 (/.f64 2 x)) 2))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 2) (+.f64 (log.f64 (/.f64 2 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 2) (+.f64 -1 (log.f64 (/.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 2) (-.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 2)) (-.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 2)) (-.f64 1 (+.f64 -1 (log.f64 (/.f64 2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 2)) (-.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 2)) (+.f64 2 (log.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (log.f64 (*.f64 2 x)) (/.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 2 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x)))))) -1)
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))) 2))))
(pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))) -1)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (log.f64 (/.f64 2 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(log.f64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1))
(log.f64 (/.f64 2 x))
(hypot.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1) 1))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 3) 1/3))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log.f64 (/.f64 2 x))
(fma.f64 1 (log.f64 (/.f64 2 x)) 0)
(log.f64 (/.f64 2 x))
(fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(log.f64 (/.f64 2 x))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)
(log.f64 (/.f64 2 x))
(fma.f64 (log.f64 (/.f64 2 x)) 1 0)
(log.f64 (/.f64 2 x))
(fma.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1 -1)
(log.f64 (/.f64 2 x))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) 0)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))) 0)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 0)
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 0)
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))) 2))))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)) 0)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (log.f64 (/.f64 2 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 2) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(log.f64 (/.f64 2 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) (-.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) 1)
(log.f64 (/.f64 2 x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 0)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1/2)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 (/.f64 2 x))))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1/2)))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (log.f64 (*.f64 x 1/2))))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 1/2)))

eval67.0ms (1.4%)

Compiler

Compiled 2629 to 2192 computations (16.6% saved)

prune25.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1801181
Fresh000
Picked011
Done066
Total1808188
Accurracy
100.0%
Counts
188 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.1%
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
98.6%
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
✓99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
✓99.1%
(log1p.f64 (-.f64 (/.f64 2 x) 1))
✓100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
✓99.1%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.9%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 139 to 111 computations (20.1% saved)

regimes17.0ms (0.4%)

Counts
8 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
Outputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
Calls

3 calls:

7.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 95 to 72 computations (24.2% saved)

regimes17.0ms (0.4%)

Counts
7 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Calls

3 calls:

5.0ms
x
5.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 84 to 64 computations (23.8% saved)

regimes5.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Outputs
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 44 to 36 computations (18.2% saved)

regimes4.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
Outputs
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes4.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
Outputs
(log1p.f64 (-.f64 (/.f64 2 x) 1))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes11.0ms (0.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
Outputs
(neg.f64 (log.f64 (*.f64 x 1/2)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
26×+-commutative
22×unsub-neg
22×neg-mul-1
14×sub-neg
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035167
156167
268167
379167
495167
5119167
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
Outputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(+.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
Compiler

Compiled 64 to 51 computations (20.3% saved)

soundness657.0ms (13.5%)

Rules
1716×pow1
1602×log-prod
1602×log-prod
1592×add-exp-log
1590×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01175
124675
2358675
04708233
111847657
239107535
01995
140783
2521165
06499605
114759229
249248869
01995
140783
2521165
0917
119011
2228111
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 424 to 332 computations (21.7% saved)

end61.0ms (1.3%)

Compiler

Compiled 144 to 110 computations (23.6% saved)

Profiling

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