qlog (example 3.10)

Time bar (total: 9.1s)

analyze325.0ms (3.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
0%0%50%50%0%0%0%3
0%0%50%50%0%0%0%4
6.3%3.1%46.8%50%0%0%0%5
9.4%4.7%45.3%50%0%0%0%6
10.9%5.5%44.5%50%0%0%0%7
11.7%5.9%44.1%50%0%0%0%8
12.1%6%43.9%50%0%0%0%9
12.3%6.1%43.8%50%0%0%0%10
12.4%6.2%43.8%50%0%0%0%11
12.5%6.2%43.7%50%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.8s (63.7%)

Results
4.1s4146×body1024valid
786.0ms2054×body512valid
469.0ms1677×body256valid
381.0ms379×body2048valid
Bogosity

preprocess16.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
16×sub-neg
12×fma-def
10×+-commutative
8×associate-+l-
6×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
16×sub-neg
12×fma-def
10×+-commutative
8×associate-+l-
6×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

eval1.0ms (0%)

Compiler

Compiled 23 to 16 computations (30.4% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Accurracy
99.9%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶4.7%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶4.7%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize322.0ms (3.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.9%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓8.2%
(log.f64 (-.f64 1 x))
✓8.2%
(log.f64 (+.f64 1 x))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms
x
@inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@0
(log.f64 (+.f64 1 x))

rewrite83.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1646×pow1
1520×add-exp-log
1520×log1p-expm1-u
1520×expm1-log1p-u
1488×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01448
129040
2310640
Stop Event
1×node limit
Counts
4 → 102
Calls
Call 1
Inputs
(log.f64 (+.f64 1 x))
(log.f64 (-.f64 1 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Outputs
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (log.f64 (+.f64 1 (*.f64 x x))) (log1p.f64 x))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (log.f64 (+.f64 1 (*.f64 x x))) (log1p.f64 x))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))

simplify404.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
938×associate-*r*
856×associate-+l+
740×associate-+r+
704×associate--r+
498×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02736618
18006024
227125724
Stop Event
1×node limit
Counts
150 → 179
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
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(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 -1))) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x))
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -1/3 (-.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 -1)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 x) (log.f64 -1)) (-.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x)))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 1/2 x) x)) (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(-.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 3) -5/12) x)))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 x) (log.f64 -1))) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (*.f64 (log.f64 x) (log.f64 x)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))))) (+.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))) (*.f64 -1/2 (/.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (*.f64 x x)))))
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(/.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(/.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
1
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
1
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
1
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
1
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
1
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
1
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
1
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
1
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
1
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
1
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
1
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(/.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
1
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(/.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(/.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
1
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
1
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
1
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
1
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
1
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
1
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
1
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
1
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1

eval606.0ms (6.7%)

Compiler

Compiled 5011 to 3581 computations (28.5% saved)

prune78.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1754179
Fresh000
Picked112
Done000
Total1765181
Accurracy
100.0%
Counts
181 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶99.7%
(-.f64 -1 x)
▶99.8%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
98.3%
-1
✓99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶99.7%
(-.f64 -1 x)
▶99.8%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
98.3%
-1
Compiler

Compiled 74 to 54 computations (27% saved)

localize71.0ms (0.8%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓100.0%
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
✓99.5%
(*.f64 x -5/12)
Compiler

Compiled 71 to 39 computations (45.1% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
1.0ms
x
@0
(*.f64 x -5/12)
0.0ms
x
@0
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
0.0ms
x
@-inf
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
0.0ms
x
@inf
(*.f64 x -5/12)

rewrite159.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1372×fma-def
1270×log-prod
582×pow-exp
512×fma-neg
492×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01261
128357
2404157
Stop Event
1×node limit
Counts
3 → 169
Calls
Call 1
Inputs
(*.f64 x -5/12)
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
Outputs
(+.f64 0 (*.f64 x -5/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)) (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -5/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(pow.f64 (*.f64 x -5/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 25/144))
(log.f64 (pow.f64 (exp.f64 x) -5/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(exp.f64 (log.f64 (*.f64 x -5/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -5/12))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -5/12))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -5/12))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(+.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (fma.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3)) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -125/1728 (pow.f64 x 3) -1/8)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 25/144 -1/4)) (fma.f64 x -5/12 1/2))
(/.f64 (*.f64 (fma.f64 -125/1728 (pow.f64 x 3) -1/8) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) 25/144 -1/4) (*.f64 x x)) (fma.f64 x -5/12 1/2))
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(fma.f64 x (*.f64 x (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x -5/12) (*.f64 x x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) (*.f64 x -5/12) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) -1/2 (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 25/144)) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 x 3) -5/12 (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -5/12 (pow.f64 x 3)) 1 (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3)))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -1/2 x) x (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (*.f64 x -5/12) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 25/144))) (cbrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))) (/.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)
(*.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 1)
(*.f64 1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))))
(*.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2)) (/.f64 1 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))))
(/.f64 1 (/.f64 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3)) (fma.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2)) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))) (neg.f64 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3)) (+.f64 1 (fma.f64 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (*.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 (-.f64 -1 x))))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))) (+.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))
(pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))) -1)
(pow.f64 (/.f64 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))) 2))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 x (*.f64 x (*.f64 x -5/12)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 x -5/12) (*.f64 x x) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) (*.f64 x -5/12) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))
(fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1 (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 25/144)) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (pow.f64 x 3) -5/12 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x (-.f64 -1 x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3)))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -5/12) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 25/144))) (cbrt.f64 (*.f64 x -5/12)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))

simplify122.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1118×unswap-sqr
774×cancel-sign-sub-inv
748×times-frac
540×fma-neg
510×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04017735
19996341
232606275
Stop Event
1×node limit
Counts
205 → 241
Calls
Call 1
Inputs
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
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(fma.f64 (*.f64 x -5/12) (*.f64 x x) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) (*.f64 x -5/12) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))
(fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1 (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 25/144)) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (pow.f64 x 3) -5/12 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x (-.f64 -1 x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3)))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -5/12) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 25/144))) (cbrt.f64 (*.f64 x -5/12)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
Outputs
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))
(-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))
(-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(+.f64 0 (*.f64 x -5/12))
(*.f64 -5/12 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)) (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -5/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(*.f64 -5/12 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(*.f64 -5/12 x)
(pow.f64 (*.f64 x -5/12) 1)
(*.f64 -5/12 x)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(*.f64 -5/12 x)
(pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)
(*.f64 -5/12 x)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(*.f64 -5/12 x)
(sqrt.f64 (*.f64 (*.f64 x x) 25/144))
(sqrt.f64 (*.f64 x (*.f64 x 25/144)))
(log.f64 (pow.f64 (exp.f64 x) -5/12))
(*.f64 -5/12 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(*.f64 -5/12 x)
(cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))
(*.f64 -5/12 x)
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(exp.f64 (log.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1) 1))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -5/12))) 3))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -5/12))) 1/3))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 3) 1/3))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -5/12))) 2))
(*.f64 -5/12 x)
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -5/12 x -1/2)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -5/12 x -1/2)) (*.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -5/12 x -1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -5/12 x -1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) 1)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (fma.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3)) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (+.f64 (*.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3)) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 25/144 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (fma.f64 25/144 (pow.f64 x 6) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -5/12 (*.f64 (pow.f64 x 4) (*.f64 x -1/2))))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (*.f64 -1/8 (pow.f64 x 6))) (fma.f64 25/144 (pow.f64 x 6) (*.f64 (*.f64 x -1/2) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 5/12 (pow.f64 x 4))))))
(/.f64 (-.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))
(/.f64 (-.f64 (*.f64 25/144 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 (*.f64 25/144 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 (*.f64 x x) 1/2)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 1)
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -125/1728 (pow.f64 x 3) -1/8)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (fma.f64 -125/1728 (pow.f64 x 3) -1/8) (/.f64 (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)) (*.f64 x x)))
(/.f64 x (/.f64 (+.f64 (fma.f64 x (*.f64 x 25/144) 1/4) (*.f64 x -5/24)) (*.f64 x (fma.f64 (pow.f64 x 3) -125/1728 -1/8))))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 3))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 1))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 1) 1))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))) 3))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))) 1/3))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))) 2))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 x (*.f64 x (*.f64 x -5/12)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 x -5/12) (*.f64 x x) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
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(fma.f64 (*.f64 x x) (*.f64 x -5/12) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))
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(fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) (-.f64 -1 x))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
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(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 25/144))) (*.f64 (cbrt.f64 (*.f64 -5/12 x)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 25/144))) (*.f64 x (*.f64 x (cbrt.f64 (*.f64 -5/12 x)))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 25/144))) (*.f64 x (*.f64 x (cbrt.f64 (*.f64 -5/12 x)))) (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (-.f64 -1 x))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 -1 x))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
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(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (*.f64 -5/12 x) (pow.f64 (cbrt.f64 x) 2)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x (*.f64 -5/12 (pow.f64 (cbrt.f64 x) 2))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 -5/12 (*.f64 x (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -5/12 -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 -5/12 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
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(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (pow.f64 x 3) -5/12 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)))
(fma.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3)))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -5/12) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (*.f64 -5/12 x) (pow.f64 (cbrt.f64 x) 2)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x (*.f64 -5/12 (pow.f64 (cbrt.f64 x) 2))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (*.f64 -5/12 (*.f64 x (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 25/144))) (cbrt.f64 (*.f64 x -5/12)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 25/144))) (*.f64 (cbrt.f64 (*.f64 -5/12 x)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 25/144))) (*.f64 x (*.f64 x (cbrt.f64 (*.f64 -5/12 x)))) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 25/144))) (*.f64 x (*.f64 x (cbrt.f64 (*.f64 -5/12 x)))) (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -5/12 -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 -5/12 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))

eval116.0ms (1.3%)

Compiler

Compiled 4935 to 3379 computations (31.5% saved)

prune33.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2401241
Fresh011
Picked033
Done011
Total2406246
Accurracy
100.0%
Counts
246 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.7%
(-.f64 -1 x)
✓99.8%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
✓99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
▶99.8%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.3%
-1
✓99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.7%
(-.f64 -1 x)
✓99.8%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
✓99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
▶99.8%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.3%
-1
Compiler

Compiled 94 to 68 computations (27.7% saved)

localize37.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 25 to 17 computations (32% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite70.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
936×log-prod
896×fma-def
694×prod-exp
626×pow-prod-down
430×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
120321
2279021
Stop Event
1×node limit
Counts
1 → 70
Calls
Call 1
Inputs
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
Outputs
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(*.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 1)
(*.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(*.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 x (*.f64 -1/2 (*.f64 x x))) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 x (*.f64 -1/2 (*.f64 x x))) 2) (*.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 -1/2 (*.f64 x x))) 2)) (+.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x)))))
(pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 (*.f64 x x)) -1/2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/2) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 2))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 (*.f64 x x)) 1 (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))

simplify81.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1434×div-sub
1248×fma-neg
862×fma-def
570×distribute-lft-in
544×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01912920
14972634
213842294
353722294
Stop Event
1×node limit
Counts
82 → 111
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(*.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 1)
(*.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(*.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 x (*.f64 -1/2 (*.f64 x x))) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 x (*.f64 -1/2 (*.f64 x x))) 2) (*.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 -1/2 (*.f64 x x))) 2)) (+.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x)))))
(pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 (*.f64 x x)) -1/2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/2) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 2))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 (*.f64 x x)) 1 (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (+.f64 (-.f64 -1 x) (*.f64 1/2 (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 (fma.f64 (*.f64 x x) 1/2 -1) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (fma.f64 x -1/2 1) 1))
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (fma.f64 -1/2 (*.f64 x x) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 (fma.f64 (*.f64 x x) 1/2 -1) x) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (-.f64 -1 x) (-.f64 (fma.f64 (*.f64 x x) 1/2 -1) x))))
(*.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (+.f64 (-.f64 -1 x) (*.f64 1/2 (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 (fma.f64 (*.f64 x x) 1/2 -1) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (fma.f64 x -1/2 1) 1))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (fma.f64 -1/2 (*.f64 x x) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))))
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(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 -1/2 (*.f64 x x)) 1 (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(-.f64 (fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) -1) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(-.f64 (fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) -1) x)
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 1/4 x) x)) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 x -1/2))) -1) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 (cbrt.f64 x) x) -1/2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/2 (*.f64 x (cbrt.f64 x))) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 (cbrt.f64 x) (*.f64 -1/2 (cbrt.f64 (*.f64 x x)))) -1) x)
(-.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 -1/2 (cbrt.f64 x))) -1) x)
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 -1 x) 1)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 1/4 x) x)) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 x -1/2))) -1) x)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 (*.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 (cbrt.f64 x) x) -1/2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/2 (*.f64 x (cbrt.f64 x))) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 (cbrt.f64 x) (*.f64 -1/2 (cbrt.f64 (*.f64 x x)))) -1) x)
(-.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 -1/2 (cbrt.f64 x))) -1) x)
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval42.0ms (0.5%)

Compiler

Compiled 1751 to 1152 computations (34.2% saved)

prune16.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1101111
Fresh011
Picked101
Done134
Total1125117
Accurracy
100.0%
Counts
117 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶99.8%
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
✓99.7%
(-.f64 -1 x)
✓99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
98.3%
-1
✓99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶99.8%
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
✓99.7%
(-.f64 -1 x)
✓99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
98.3%
-1
Compiler

Compiled 74 to 54 computations (27% saved)

localize39.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 29 to 15 computations (48.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1058×pow1
1024×add-sqr-sqrt
976×add-exp-log
976×log1p-expm1-u
976×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2138413
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 x x))
Outputs
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) 1)
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))

simplify61.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
2120×log-prod
1106×distribute-rgt-in
1092×distribute-lft-in
810×associate-*r*
672×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038299
191299
2320299
32107299
46963299
Stop Event
1×node limit
Counts
23 → 14
Calls
Call 1
Inputs
(*.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))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) 1)
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) 1)
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3)
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))

eval3.0ms (0%)

Compiler

Compiled 153 to 105 computations (31.4% saved)

prune6.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New14014
Fresh011
Picked011
Done033
Total14519
Accurracy
100.0%
Counts
19 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.8%
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
✓99.7%
(-.f64 -1 x)
✓99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
98.3%
-1
Compiler

Compiled 97 to 66 computations (32% saved)

regimes10.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

6.0ms
x
3.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
Outputs
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 47 to 30 computations (36.2% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 25 to 17 computations (32% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
126×distribute-lft-neg-in
92×unsub-neg
72×neg-mul-1
64×neg-sub0
50×cancel-sign-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023114
142114
260114
386114
4121114
5155114
6207114
7280114
8341114
9382114
10404114
11413114
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
(-.f64 -1 (-.f64 x (*.f64 (*.f64 x x) -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 -1 x)
-1
Compiler

Compiled 47 to 34 computations (27.7% saved)

soundness405.0ms (4.5%)

Rules
1118×unswap-sqr
938×associate-*r*
938×associate-*r*
936×log-prod
896×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
02736618
18006024
227125724
02736618
18006024
227125724
04017735
19996341
232606275
0925
120321
2279021
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 398 to 301 computations (24.4% saved)

end75.0ms (0.8%)

Compiler

Compiled 138 to 98 computations (29% saved)

Profiling

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