Hyperbolic arc-(co)secant

Time bar (total: 4.9s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (32.4%)

Results
1.6s8256×body256valid
2.0ms21×body256invalid
Bogosity

preprocess167.0ms (3.4%)

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)

simplify178.0ms (3.7%)

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)

localize60.0ms (1.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓100.0%
(/.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 (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 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0ms
x
@-inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms
x
@inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite86.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01175
124675
2357475
Stop Event
1×node limit
Counts
3 → 173
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Outputs
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(*.f64 (pow.f64 x -1) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 x -1)))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) -1)
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -1)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 1 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))
(*.f64 (pow.f64 x -1) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 x -1) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(*.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 2)) (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))
(*.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (pow.f64 x -1))
(/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 x x))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x) (*.f64 x -1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x (*.f64 (neg.f64 x) 1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (pow.f64 (neg.f64 x) 2))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (neg.f64 x) 2))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)))
(pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) 2)
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (+.f64 1 (expm1.f64 (pow.f64 x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (exp.f64 (pow.f64 x -1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (+.f64 1 (expm1.f64 (pow.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x -1)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1))) (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))
(fma.f64 1 (pow.f64 x -1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1) (pow.f64 x -1))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1 (pow.f64 x -1))
(fma.f64 (pow.f64 x -1) 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (pow.f64 x -1) (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (pow.f64 x -1))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (pow.f64 x -1))
(fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 x -1)) (pow.f64 x -1))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 x -1)) (pow.f64 x -1))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (pow.f64 x -1))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (pow.f64 x -1))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)) (pow.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -1)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (pow.f64 x -1))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x) (pow.f64 x -1))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (pow.f64 x -1))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (sqrt.f64 x)) (pow.f64 x -1))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x) (pow.f64 x -1))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)) (pow.f64 x -1))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -1)) (pow.f64 x -1))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (pow.f64 x -1))

simplify132.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
564×cancel-sign-sub-inv
556×div-sub
526×fma-neg
504×fma-def
398×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04728253
111897671
240177491
Stop Event
1×node limit
Counts
209 → 330
Calls
Call 1
Inputs
(/.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 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
(/.f64 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 0 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(*.f64 (pow.f64 x -1) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 x -1)))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) -1)
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -1)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 1 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))
(*.f64 (pow.f64 x -1) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 x -1) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(*.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 2)) (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))
(*.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (pow.f64 x -1))
(/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 x x))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x) (*.f64 x -1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x (*.f64 (neg.f64 x) 1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (pow.f64 (neg.f64 x) 2))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (neg.f64 x) 2))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)))
(pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) 2)
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (+.f64 1 (expm1.f64 (pow.f64 x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (exp.f64 (pow.f64 x -1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (+.f64 1 (expm1.f64 (pow.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x -1)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1))) (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))
(fma.f64 1 (pow.f64 x -1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1) (pow.f64 x -1))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1 (pow.f64 x -1))
(fma.f64 (pow.f64 x -1) 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (pow.f64 x -1) (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (pow.f64 x -1))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (pow.f64 x -1))
(fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 x -1)) (pow.f64 x -1))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 x -1)) (pow.f64 x -1))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (pow.f64 x -1))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (pow.f64 x -1))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)) (pow.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -1)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (pow.f64 x -1))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x) (pow.f64 x -1))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (pow.f64 x -1))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (sqrt.f64 x)) (pow.f64 x -1))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x) (pow.f64 x -1))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)) (pow.f64 x -1))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -1)) (pow.f64 x -1))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (pow.f64 x -1))
Outputs
(/.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))))
(fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
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(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 x -1) 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 x -1) (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (pow.f64 x -1))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (fma.f64 x x -1))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (pow.f64 x -1))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (fma.f64 x x -1))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (pow.f64 x -1)) (pow.f64 x -1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 x -1)) (pow.f64 x -1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (pow.f64 x -1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (pow.f64 x -1))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)) (pow.f64 x -1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -1)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (pow.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x) (pow.f64 x -1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (pow.f64 x -1))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (sqrt.f64 x)) (pow.f64 x -1))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (sqrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x) (pow.f64 x -1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)) (pow.f64 x -1))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -1)) (pow.f64 x -1))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (pow.f64 x -1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)

eval436.0ms (9%)

Compiler

Compiled 6794 to 4734 computations (30.3% saved)

prune215.0ms (4.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3273330
Fresh000
Picked101
Done000
Total3283331
Accurracy
100.0%
Counts
331 → 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))
▶98.5%
(log.f64 (/.f64 2 x))
▶99.1%
(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))
▶98.5%
(log.f64 (/.f64 2 x))
▶99.1%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize513.0ms (10.5%)

Local Accuracy

Found 5 expressions with local accuracy:

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

Compiled 90 to 59 computations (34.4% saved)

series51.0ms (1%)

Counts
4 → 39
Calls

12 calls:

TimeVariablePointExpression
23.0ms
x
@0
(log.f64 (/.f64 2 x))
15.0ms
x
@-inf
(log.f64 (/.f64 2 x))
9.0ms
x
@inf
(log.f64 (/.f64 2 x))
1.0ms
x
@0
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
0.0ms
x
@inf
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))

rewrite104.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1732×log-prod
1214×fma-def
658×expm1-udef
654×log1p-udef
492×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01974
141474
2529874
Stop Event
1×node limit
Counts
4 → 165
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 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) (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))) (/.f64 (*.f64 4 (pow.f64 x -2)) (fma.f64 -1/2 x (neg.f64 (/.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) (/.f64 8 (pow.f64 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 (fma.f64 -1/2 x (neg.f64 (/.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) (/.f64 8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 -1/2 x (neg.f64 (/.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) (/.f64 8 (pow.f64 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))) (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))) (fma.f64 -1/2 x (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (neg.f64 (fma.f64 -1/2 x (neg.f64 (/.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 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(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))))
(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 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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.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 -2 (/.f64 1 (neg.f64 x)) (*.f64 -1/2 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))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(+.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (log.f64 (/.f64 1 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (log.f64 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))))
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (*.f64 (pow.f64 x -1/2) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) 2)))
(+.f64 (log.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2)))) (log.f64 (/.f64 1 (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x -1/2))) (log.f64 (pow.f64 x -1/2)))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(+.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 (pow.f64 (cbrt.f64 x) 2)) (/.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) (pow.f64 (cbrt.f64 x) 2)) (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)) (pow.f64 (cbrt.f64 x) 2)) (/.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)))

simplify101.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
594×associate-*r/
504×associate-+l+
486×associate-+r+
470×times-frac
444×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04545592
110735370
233885172
Stop Event
1×node limit
Counts
204 → 280
Calls
Call 1
Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(/.f64 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) (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))) (/.f64 (*.f64 4 (pow.f64 x -2)) (fma.f64 -1/2 x (neg.f64 (/.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) (/.f64 8 (pow.f64 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 (fma.f64 -1/2 x (neg.f64 (/.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) (/.f64 8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 -1/2 x (neg.f64 (/.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) (/.f64 8 (pow.f64 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))) (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))) (fma.f64 -1/2 x (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (neg.f64 (fma.f64 -1/2 x (neg.f64 (/.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 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(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))))
(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 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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.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 -2 (/.f64 1 (neg.f64 x)) (*.f64 -1/2 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))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(+.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (log.f64 (/.f64 1 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (log.f64 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))))
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (*.f64 x x) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (*.f64 (pow.f64 x -1/2) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) 2)))
(+.f64 (log.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2)))) (log.f64 (/.f64 1 (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x -1/2))) (log.f64 (pow.f64 x -1/2)))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(+.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 (pow.f64 (cbrt.f64 x) 2)) (/.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) (pow.f64 (cbrt.f64 x) 2)) (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)) (pow.f64 (cbrt.f64 x) 2)) (/.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)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 (/.f64 2 x))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) (/.f64 -4 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 -4 (*.f64 x x)) (log.f64 -1/2)))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (fma.f64 4 (pow.f64 x -2) (/.f64 8 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (-.f64 (-.f64 (log.f64 x) (/.f64 64/3 (pow.f64 x 6))) (fma.f64 4 (pow.f64 x -2) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 1/2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x)))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 1/2) (/.f64 4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
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(/.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) (pow.f64 (cbrt.f64 x) 2)) (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) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (pow.f64 (cbrt.f64 x) 2))
(*.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 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (*.f64 (/.f64 1 x) (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 (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)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.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 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)

eval130.0ms (2.7%)

Compiler

Compiled 5828 to 4365 computations (25.1% saved)

prune48.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3602362
Fresh000
Picked033
Done000
Total3605365
Accurracy
100.0%
Counts
365 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(neg.f64 (log.f64 (*.f64 x 1/2)))
▶99.1%
(log.f64 (/.f64 (+.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) x))
✓100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓98.5%
(log.f64 (/.f64 2 x))
✓99.1%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
▶98.5%
(neg.f64 (log.f64 (*.f64 x 1/2)))
▶99.1%
(log.f64 (/.f64 (+.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) x))
✓100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓98.5%
(log.f64 (/.f64 2 x))
✓99.1%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 94 to 74 computations (21.3% saved)

localize70.0ms (1.4%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 66 to 42 computations (36.4% saved)

series3.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite93.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1186×prod-diff
1154×log-prod
930×fma-def
560×pow-prod-up
538×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01286
125686
2341674
Stop Event
1×node limit
Counts
4 → 202
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) x)
(*.f64 -1/2 (*.f64 x x))
(+.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))
(log.f64 (/.f64 (+.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) x))
Outputs
(+.f64 0 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1)
(*.f64 1 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(*.f64 (fma.f64 -1/2 (*.f64 x x) 2) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(*.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 2)
(pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(pow.f64 (/.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) 1) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(+.f64 0 (*.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))) 1))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) -1)
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) -1)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x))))) -1)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 2))) 1)
(-.f64 (/.f64 1 (-.f64 0 (*.f64 -1/2 (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2) (-.f64 0 (*.f64 -1/2 (*.f64 x x)))))
(*.f64 1 (fma.f64 -1/2 (*.f64 x x) 2))
(*.f64 (fma.f64 -1/2 (*.f64 x x) 2) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (/.f64 1 (-.f64 0 (*.f64 -1/2 (*.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1) (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 -1/2 (*.f64 x x))) (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2) (-.f64 0 (*.f64 -1/2 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (-.f64 0 (*.f64 -1/2 (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3))) (neg.f64 (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (neg.f64 (-.f64 0 (*.f64 -1/2 (*.f64 x x)))))
(/.f64 (+.f64 8 (*.f64 (pow.f64 x 6) -1/8)) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 2 (*.f64 -1/2 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2) 1) (*.f64 -1/2 (*.f64 x x)))
(/.f64 (-.f64 4 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 2 (*.f64 -1/2 (*.f64 x x))))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1) (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3))) -1)
(pow.f64 (/.f64 (-.f64 0 (*.f64 -1/2 (*.f64 x x))) (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) 2)
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 x (*.f64 -1/2 x) 2)
(fma.f64 (*.f64 x x) -1/2 2)
(fma.f64 (*.f64 -1/2 (*.f64 x x)) 1 2)
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1 1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) 2)
(fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 2)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 2)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 2)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 1/2 (*.f64 x x))))) 1)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 x x)))) 1)
(fma.f64 (*.f64 -1/2 x) x 2)
(fma.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 2)
(fma.f64 (*.f64 (*.f64 -1/2 x) 1) x 2)
(fma.f64 (*.f64 (*.f64 -1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2)
(fma.f64 (*.f64 (*.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 2)
(+.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 0)
(+.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(+.f64 (log.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (log.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (cbrt.f64 x))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 x))) (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (sqrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 1)) (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (cbrt.f64 x))))
(-.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(-.f64 0 (log.f64 (/.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) 1)))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (log.f64 (*.f64 x (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (log.f64 (*.f64 x (-.f64 0 (*.f64 -1/2 (*.f64 x x))))))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))))
(-.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (log.f64 (/.f64 x (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)))))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) 1)) (log.f64 (*.f64 (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1) x)))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) 1)) (log.f64 (*.f64 (-.f64 0 (*.f64 -1/2 (*.f64 x x))) x)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (/.f64 1 x))) (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (/.f64 1 x))) (log.f64 (-.f64 0 (*.f64 -1/2 (*.f64 x x)))))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) 1)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(*.f64 1 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2) (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 -1 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2)
(neg.f64 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(exp.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 2))
(log1p.f64 (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 1))
(fma.f64 1 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (log.f64 x)))

simplify106.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1614×fma-neg
940×log-prod
552×exp-prod
484×div-sub
466×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05297122
112166910
245656756
Stop Event
1×node limit
Counts
250 → 285
Calls
Call 1
Inputs
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
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(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (cbrt.f64 x))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 x))) (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (sqrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 1)) (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (cbrt.f64 x))))
(-.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(-.f64 0 (log.f64 (/.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) 1)))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (log.f64 (*.f64 x (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (log.f64 (*.f64 x (-.f64 0 (*.f64 -1/2 (*.f64 x x))))))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))))
(-.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (log.f64 (/.f64 x (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)))))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) 1)) (log.f64 (*.f64 (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1) x)))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) 1)) (log.f64 (*.f64 (-.f64 0 (*.f64 -1/2 (*.f64 x x))) x)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (/.f64 1 x))) (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (/.f64 1 x))) (log.f64 (-.f64 0 (*.f64 -1/2 (*.f64 x x)))))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) 1)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(*.f64 1 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2) (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 -1 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2)
(neg.f64 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(exp.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 2))
(log1p.f64 (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 1))
(fma.f64 1 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (log.f64 x)))
Outputs
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.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 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.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 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))
(+.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (log.f64 2) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (-.f64 (log.f64 2) (log.f64 x)))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (-.f64 (log.f64 2) (log.f64 x))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (/.f64 4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (/.f64 4 (*.f64 x x)))) (/.f64 8 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
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(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
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(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (log.f64 (*.f64 x (-.f64 0 (*.f64 -1/2 (*.f64 x x))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (log.f64 (*.f64 x (neg.f64 (*.f64 -1/2 (*.f64 x x))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (log.f64 (*.f64 x (*.f64 1/2 (*.f64 x x)))))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(-.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (log.f64 (/.f64 x (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 1)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) 1)) (log.f64 (*.f64 (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1) x)))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (log.f64 (*.f64 x (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (log.f64 (*.f64 x (fma.f64 (*.f64 -1/2 (*.f64 x x)) (fma.f64 -1/2 (*.f64 x x) 1) 1))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) 1)) (log.f64 (*.f64 (-.f64 0 (*.f64 -1/2 (*.f64 x x))) x)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (log.f64 (*.f64 x (neg.f64 (*.f64 -1/2 (*.f64 x x))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (log.f64 (*.f64 x (*.f64 1/2 (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (log.f64 (neg.f64 (neg.f64 x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (/.f64 1 x))) (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (log.f64 (*.f64 x (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/2 (*.f64 x x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3)) (log.f64 (*.f64 x (fma.f64 (*.f64 -1/2 (*.f64 x x)) (fma.f64 -1/2 (*.f64 x x) 1) 1))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (/.f64 1 x))) (log.f64 (-.f64 0 (*.f64 -1/2 (*.f64 x x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (log.f64 (*.f64 x (neg.f64 (*.f64 -1/2 (*.f64 x x))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (log.f64 (*.f64 x (*.f64 1/2 (*.f64 x x)))))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) 1)) (log.f64 x))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (cbrt.f64 x))))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (cbrt.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 x))))
(*.f64 1 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 1)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2) (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(*.f64 -1 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 1)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 3)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(pow.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3) 1/3)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(neg.f64 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(neg.f64 (log.f64 (/.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) 1)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 2))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(exp.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1) 1))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 3))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 1/3))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 2))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log1p.f64 (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 1))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(fma.f64 1 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))

eval105.0ms (2.2%)

Compiler

Compiled 4972 to 3299 computations (33.6% saved)

prune40.0ms (0.8%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2850285
Fresh000
Picked022
Done033
Total2855290
Accurracy
100.0%
Counts
290 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.5%
(neg.f64 (log.f64 (*.f64 x 1/2)))
✓99.1%
(log.f64 (/.f64 (+.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) x))
✓100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓98.5%
(log.f64 (/.f64 2 x))
✓99.1%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 103 to 77 computations (25.2% saved)

regimes14.0ms (0.3%)

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

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

Compiled 85 to 60 computations (29.4% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
Compiler

Compiled 12 to 9 computations (25% 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
98.5%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029123
147123
255123
360123
462123
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 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) x))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
Outputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (/.f64 (+.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) x))
(log.f64 (/.f64 (+.f64 1 (+.f64 1 (*.f64 (*.f64 x x) -1/2))) 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))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
Compiler

Compiled 47 to 37 computations (21.3% saved)

soundness564.0ms (11.6%)

Rules
1732×log-prod
1214×fma-def
1138×log-prod
848×fma-def
812×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01175
124675
2357475
04728253
111897671
240177491
01974
141474
2529874
04545592
110735370
233885172
04728253
111897671
240177491
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 320 to 230 computations (28.1% saved)

end0.0ms (0%)

preprocess46.0ms (0.9%)

Compiler

Compiled 114 to 84 computations (26.3% saved)

Profiling

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