Hyperbolic arc-(co)secant

Time bar (total: 4.2s)

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)

sample1.1s (25.1%)

Results
1.0s8256×body256valid
1.0ms12×body256invalid
Bogosity

preprocess171.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
1654×fma-def
1242×sub-neg
1138×distribute-lft-out
842×associate-+r+
722×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02086
13982
26182
311982
417482
525682
638282
765682
8126882
9214882
10477482
11649682
12727482
13757282
14762882
15766082
16793782
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (neg.f64 x))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify330.0ms (7.9%)

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)

localize380.0ms (9.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 1 (*.f64 x x))
✓100.0%
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x 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
@inf
(/.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
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

rewrite97.0ms (2.3%)

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
01171
124671
2358671
Stop Event
1×node limit
Counts
3 → 197
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(-.f64 1 (*.f64 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 (/.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)))
(+.f64 1 (*.f64 x (neg.f64 x)))
(+.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))
(+.f64 0 (fma.f64 x (neg.f64 x) 1))
(+.f64 (*.f64 x (neg.f64 x)) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (exp.f64 (fma.f64 x (neg.f64 x) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (neg.f64 x) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (neg.f64 x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (neg.f64 x) 1)))))
(*.f64 1 (fma.f64 x (neg.f64 x) 1))
(*.f64 (fma.f64 x (neg.f64 x) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2)) (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) 3/4))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/4) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 5/6) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(/.f64 1 (/.f64 (fma.f64 x x 1) (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (fma.f64 x x 1)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (neg.f64 x)) 2) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 2)) (-.f64 1 (*.f64 x (neg.f64 x))))
(pow.f64 (fma.f64 x (neg.f64 x) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) 2/3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 4)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (-.f64 1 (pow.f64 x 4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (neg.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (neg.f64 x) 1))))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (neg.f64 x) 1)))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 2))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x (neg.f64 x) 1)))
(fma.f64 1 (*.f64 x (neg.f64 x)) 1)
(fma.f64 x (neg.f64 x) 1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 -1 (*.f64 x x) 1)
(fma.f64 (neg.f64 x) x 1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (*.f64 x (neg.f64 x))) 1)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 1)
(fma.f64 (*.f64 (neg.f64 x) 1) x 1)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 1)

simplify118.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1276×unswap-sqr
498×div-sub
456×sqr-pow
432×cancel-sign-sub-inv
428×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04914294975899
112398043
239067941
Stop Event
1×node limit
Counts
233 → 341
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)))))
(/.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))))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.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)))
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(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2)) (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) 3/4))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/4) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 5/6) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(/.f64 1 (/.f64 (fma.f64 x x 1) (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (fma.f64 x x 1)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (neg.f64 x)) 2) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 2)) (-.f64 1 (*.f64 x (neg.f64 x))))
(pow.f64 (fma.f64 x (neg.f64 x) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) 2/3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 4)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (-.f64 1 (pow.f64 x 4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (neg.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (neg.f64 x) 1))))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (neg.f64 x) 1)))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 2))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x (neg.f64 x) 1)))
(fma.f64 1 (*.f64 x (neg.f64 x)) 1)
(fma.f64 x (neg.f64 x) 1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 -1 (*.f64 x x) 1)
(fma.f64 (neg.f64 x) x 1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (*.f64 x (neg.f64 x))) 1)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 1)
(fma.f64 (*.f64 (neg.f64 x) 1) x 1)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 1)
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 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.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 1 x) (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (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))))))
(+.f64 (/.f64 1 x) (-.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 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 (+.f64 (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 1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 4)))))
(+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (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 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))) (/.f64 1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 4))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 (/.f64 1/16 (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))))
(+.f64 (-.f64 (/.f64 1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 4))) (sqrt.f64 -1)) (/.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 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
(-.f64 (-.f64 (/.f64 1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 4))) (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
(-.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 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(-.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 (-.f64 1 (*.f64 x x)))) 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 (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 x (/.f64 (*.f64 (+.f64 (+.f64 -1 (*.f64 x x)) 1) (pow.f64 x -2)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (*.f64 (+.f64 (+.f64 -1 (*.f64 x x)) 1) (pow.f64 x -2)) (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x 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 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 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 (-.f64 1 (*.f64 x x)))) 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 (-.f64 1 (*.f64 x x)))) 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 (-.f64 1 (*.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 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))))
(*.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 (-.f64 1 (*.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))
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(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (neg.f64 x)) 2) (*.f64 x (neg.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 2)) (-.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(pow.f64 (fma.f64 x (neg.f64 x) 1) 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(pow.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 3)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) 6)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2) 1/2)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3) 1/3)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) 2/3)
(*.f64 (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) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 4)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(pow.f64 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))) -1)
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(pow.f64 (/.f64 (fma.f64 x x 1) (-.f64 1 (pow.f64 x 4))) -1)
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(log.f64 (exp.f64 (fma.f64 x (neg.f64 x) 1)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (neg.f64 x) 1))))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(expm1.f64 (log1p.f64 (fma.f64 x (neg.f64 x) 1)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x x))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 2))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 2))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/2))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 x (neg.f64 x) 1)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(fma.f64 1 (*.f64 x (neg.f64 x)) 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 -1 (*.f64 x x) 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(fma.f64 (neg.f64 x) x 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (*.f64 x (neg.f64 x))) 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) 1) x 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))

eval217.0ms (5.2%)

Compiler

Compiled 6767 to 4599 computations (32% saved)

prune49.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3383341
Fresh000
Picked101
Done000
Total3393342
Accurracy
100.0%
Counts
342 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶99.5%
(log.f64 (/.f64 2 x))
▶99.7%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
▶100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶99.5%
(log.f64 (/.f64 2 x))
▶99.7%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize113.0ms (2.7%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 90 to 59 computations (34.4% saved)

series2.0ms (0.1%)

Counts
3 → 27
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 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)))
0.0ms
x
@-inf
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
0.0ms
x
@inf
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))

rewrite95.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1570×log-prod
1182×fma-def
596×expm1-udef
592×log1p-udef
450×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01667
135667
2480567
Stop Event
1×node limit
Counts
3 → 133
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (*.f64 4 (pow.f64 x -2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.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 (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) (pow.f64 (/.f64 2 x) 3)) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4)) (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 4 (pow.f64 x -2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2))) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (*.f64 (*.f64 x x) 1/4)) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(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)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/2) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/2 x))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 x x)))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2) 1)
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 (*.f64 x x))) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))

simplify119.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1778×times-frac
1062×associate-*r/
348×associate-+l+
344×associate-+r+
334×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03705366
19335104
231904698
Stop Event
1×node limit
Counts
160 → 234
Calls
Call 1
Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 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))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (*.f64 4 (pow.f64 x -2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.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 (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) (pow.f64 (/.f64 2 x) 3)) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4)) (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 4 (pow.f64 x -2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2))) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (*.f64 (*.f64 x x) 1/4)) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(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)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/2) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/2 x))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 x x)))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2) 1)
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 (*.f64 x x))) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
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 (fma.f64 -1/2 (*.f64 x 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 2 (fma.f64 -1/2 (*.f64 x x) (fma.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 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 2) (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 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) 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 1 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) 1) (/.f64 1/2 (*.f64 x (sqrt.f64 -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 (+.f64 1 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
(+.f64 1 (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (+.f64 (fma.f64 x (sqrt.f64 -1) 1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (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 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 1 (-.f64 (*.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 1/2 (*.f64 x (sqrt.f64 -1)))))
(-.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 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))))
(+.f64 1 (-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))))
(/.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 (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 1 x)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (/.f64 1 x)))
(-.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 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.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 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (/.f64 1 x)) (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (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 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (*.f64 -1/2 (/.f64 (pow.f64 x -2) (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 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x 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 (*.f64 x x) 1/4) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (*.f64 4 (pow.f64 x -2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 -4 (pow.f64 x -2))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(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 (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) (pow.f64 (/.f64 2 x) 3)) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4))))
(*.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 x (*.f64 x 1/4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 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))) (fma.f64 4 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/4) 1)))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 -4 (pow.f64 x -2))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (/.f64 (/.f64 4 x) 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 (*.f64 x x) 1/4)) (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 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 1/2 x)) (*.f64 x (*.f64 x 1/4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 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))) (fma.f64 4 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/4) 1)))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 -4 (pow.f64 x -2))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4)))
(*.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 x (*.f64 x 1/4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/4))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 x)))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) (/.f64 1 x))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 x -1/2) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (neg.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (*.f64 x x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) (/.f64 1 x))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) x)
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 (*.f64 x x))) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (/.f64 (pow.f64 x -2) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)

eval111.0ms (2.7%)

Compiler

Compiled 5198 to 3726 computations (28.3% saved)

prune48.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3120312
Fresh000
Picked033
Done000
Total3123315
Accurracy
100.0%
Counts
315 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓99.5%
(log.f64 (/.f64 2 x))
✓99.7%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 67 to 50 computations (25.4% saved)

regimes355.0ms (8.5%)

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

3 calls:

346.0ms
x
4.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms
(+.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 68 to 48 computations (29.4% saved)

regimes3.0ms (0.1%)

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

2.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02073
13173
23873
34273
44473
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
Outputs
(log.f64 (/.f64 (+.f64 1 (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 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
Compiler

Compiled 28 to 22 computations (21.4% saved)

soundness870.0ms (20.8%)

Rules
1276×unswap-sqr
1138×log-prod
848×fma-def
812×pow-prod-down
616×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01171
124671
2358671
04914294975899
112398043
239067941
Stop Event
1×node limit
1×node limit
Compiler

Compiled 319 to 231 computations (27.6% saved)

end0.0ms (0%)

preprocess35.0ms (0.8%)

Compiler

Compiled 80 to 60 computations (25% saved)

Profiling

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