qlog (example 3.10)

Details

Time bar (total: 9.2s)

analyze1.4s (15.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
0%0%399.8%-299.8%0%0%0%2
0%0%799.6%-699.6%0%0%0%3
0%0%1599.2%-1499.2%0%0%0%4
0%0%3198.4%-3098.4%0%0%0%5
0%0%6396.9%-6296.9%0%0%0%6
0%0%12793.8%-12693.8%0%0%0%7
0%0%25587.5%-25487.5%0%0%0%8
0%0%51175%-51075%0%0%0%9
0%0%102350%-102250%0%0%0%10
0%0%204700%-204600%0%0%0%11
0%0%409400%-409300%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample4.7s (50.9%)

Results
1.9s4165×body1024valid
1.7s8232×body256invalid
571.0ms2036×body512valid
302.0ms1669×body256valid
214.0ms386×body2048valid
Bogosity

preprocess20.0ms (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)

simplify18.0ms (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
100.0%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶4.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶4.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize194.0ms (2.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓100.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓9.1%
(log.f64 (-.f64 1 x))
✓9.1%
(log.f64 (+.f64 1 x))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series12.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@0
(log.f64 (-.f64 1 x))
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
@0
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite75.0ms (0.8%)

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))))

simplify104.0ms (1.1%)

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

eval103.0ms (1.1%)

Compiler

Compiled 5011 to 3581 computations (28.5% saved)

prune30.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1754179
Fresh000
Picked022
Done000
Total1756181
Accurracy
100.0%
Counts
181 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶98.2%
(-.f64 -1 x)
▶98.5%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶98.8%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
97.3%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶98.2%
(-.f64 -1 x)
▶98.5%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶98.8%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
97.3%
-1
Compiler

Compiled 94 to 70 computations (25.5% saved)

localize212.0ms (2.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
✓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))
✓99.4%
(*.f64 x -5/12)
Compiler

Compiled 71 to 39 computations (45.1% saved)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
1.0ms
x
@0
(*.f64 x -5/12)
1.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
0.0ms
x
@0
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
0.0ms
x
@-inf
(*.f64 x -5/12)

rewrite116.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1598×fma-def
1508×log-prod
582×expm1-udef
576×log1p-udef
552×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01680
136072
2502372
Stop Event
1×node limit
Counts
4 → 277
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)))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
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))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 0 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -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 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x 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 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -5/12 -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 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 x (*.f64 x -1/2)) (*.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 (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 (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 (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 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 (*.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 (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 (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 (*.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 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.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)))
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(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)))
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(-.f64 (+.f64 x -1) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
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(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)
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(fma.f64 (+.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 (neg.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))))
(fma.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x (+.f64 x -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))) (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(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 x -1)))
(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 x -1)))
(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 x -1)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 2) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(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 x -1)))
(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 x -1)))
(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 x -1))
(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 x -1))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1))
(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 x -1)))
(+.f64 x (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) x)
(+.f64 0 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x))) (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x))) 1)
(-.f64 (fma.f64 x (*.f64 x -1/2) 0) x)
(*.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(*.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x -1/2)) x))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) x))
(pow.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 x)))
(log.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x)))

simplify205.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1546×unswap-sqr
926×fma-neg
600×fma-def
502×associate-*r*
478×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054011941
1130910983
2460310699
Stop Event
1×node limit
Counts
325 → 402
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))))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (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 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (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 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (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 -1 x))
(+.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))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 0 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -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 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x 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 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -5/12 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -5/12 -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 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 x (*.f64 x -1/2)) (*.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 (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 (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 (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 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 (*.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 (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 (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 (*.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 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.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)))
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(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)))
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(-.f64 (+.f64 x -1) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
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(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)
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(fma.f64 (+.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 (neg.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))))
(fma.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x (+.f64 x -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))) (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(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 x -1)))
(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 x -1)))
(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 x -1)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 2) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(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 x -1)))
(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 x -1)))
(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 x -1))
(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 x -1))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1))
(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 x -1)))
(+.f64 x (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) x)
(+.f64 0 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x))) (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x))) 1)
(-.f64 (fma.f64 x (*.f64 x -1/2) 0) x)
(*.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(*.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x -1/2)) x))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) x))
(pow.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 x)))
(log.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) 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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (-.f64 (*.f64 -1/2 (*.f64 x x)) x) -1)
(fma.f64 x (*.f64 x -1/2) (-.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 -1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) x))
(+.f64 -1 (-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) x)
(-.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 -1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) x))
(+.f64 -1 (-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.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 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) x)
(-.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 -1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) x))
(+.f64 -1 (-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(*.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))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(*.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))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(+.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)
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(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)))
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(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)
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(+.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 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
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(-.f64 (+.f64 x -1) (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)))
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(-.f64 (+.f64 x -1) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(-.f64 (+.f64 x -1) (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)))
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(-.f64 (+.f64 x -1) (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)))
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(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) (*.f64 2 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) (*.f64 (*.f64 x (fma.f64 -5/12 x -1/2)) (+.f64 x x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (*.f64 x (neg.f64 (fma.f64 x -5/12 -1/2))) x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) (*.f64 0 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 2) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (*.f64 x (neg.f64 (fma.f64 x -5/12 -1/2))) x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) (*.f64 0 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (neg.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 (+.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (fma.f64 (*.f64 x (neg.f64 (fma.f64 x -5/12 -1/2))) x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) (*.f64 0 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 (+.f64 x -1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) 0)
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(+.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1))
(+.f64 x (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(+.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1))
(+.f64 x (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1))
(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 x -1)))
(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 x -1)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 25/144))) (*.f64 x (*.f64 x (cbrt.f64 (*.f64 -5/12 x)))) (+.f64 (fma.f64 x (*.f64 x -1/2) x) -1))
(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 x -1)))
(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 x -1)))
(+.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1))
(+.f64 x (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1))
(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 x -1))
(+.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1))
(+.f64 x (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1))
(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 x -1))
(+.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1))
(+.f64 x (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -5/12 -1/2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 x -1))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 -5/12 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 x -1))
(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 x -1)))
(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 x -1)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -5/12 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (+.f64 (fma.f64 x (*.f64 x -1/2) x) -1))
(fma.f64 (*.f64 x (*.f64 -5/12 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(+.f64 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 x (*.f64 x -1/2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 0 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x))) (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x))) 1)
(fma.f64 x (*.f64 x -1/2) x)
(-.f64 (fma.f64 x (*.f64 x -1/2) 0) x)
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(*.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x -1/2)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (fma.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 -1/2 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 6))) (-.f64 (+.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x 4))) (*.f64 -1/2 (pow.f64 x 3))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) x))
(/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) x))
(/.f64 (+.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 x (*.f64 x -1/2) x))
(pow.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(fma.f64 x (*.f64 x -1/2) x)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 3)
(fma.f64 x (*.f64 x -1/2) x)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 1/3)
(fma.f64 x (*.f64 x -1/2) x)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2)
(fma.f64 x (*.f64 x -1/2) x)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))
(fma.f64 x (*.f64 x -1/2) x)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x))))
(fma.f64 x (*.f64 x -1/2) x)
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(fma.f64 x (*.f64 x -1/2) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(fma.f64 x (*.f64 x -1/2) x)
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 x))))
(fma.f64 x (*.f64 x -1/2) x)
(log.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(log.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))
(fma.f64 x (*.f64 x -1/2) x)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)) 1))
(fma.f64 x (*.f64 x -1/2) x)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)

eval207.0ms (2.2%)

Compiler

Compiled 9449 to 6251 computations (33.8% saved)

prune62.0ms (0.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4002402
Fresh011
Picked123
Done022
Total4017408
Accurracy
100.0%
Counts
408 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓98.2%
(-.f64 -1 x)
▶98.5%
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
✓98.8%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
▶98.5%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.3%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓98.2%
(-.f64 -1 x)
▶98.5%
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
✓98.8%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
▶98.5%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.3%
-1
Compiler

Compiled 114 to 84 computations (26.3% saved)

localize152.0ms (1.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 52 to 34 computations (34.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

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

rewrite99.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1452×fma-def
1100×log-prod
768×pow-prod-down
492×pow-exp
484×pow-prod-up
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01044
123340
2335236
Stop Event
1×node limit
Counts
2 → 197
Calls
Call 1
Inputs
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
Outputs
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1)))))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x x) -1/2 (neg.f64 x))
(fma.f64 (*.f64 x x) -1/2 (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1))))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1))))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x)) (/.f64 1 (*.f64 x (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x)) (/.f64 1 (*.f64 x (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x)) (/.f64 1 (*.f64 x (fma.f64 x -1/2 1))) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (neg.f64 x))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))

simplify98.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
814×distribute-lft-in
804×times-frac
744×distribute-rgt-in
724×unswap-sqr
352×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04006507
19535639
226365335
Stop Event
1×node limit
Counts
221 → 231
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 x)
(+.f64 (*.f64 -1/2 (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 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (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 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (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 -1 x))
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1)))))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)
(*.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.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 -1 (*.f64 x (fma.f64 x -1/2 1)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.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 -1 (*.f64 x (fma.f64 x -1/2 1))) (-.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 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (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 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 (-.f64 -1 x) x) (*.f64 x -1/2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.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 -1 (*.f64 x (fma.f64 x -1/2 1)))))
(/.f64 (-.f64 -1 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2))) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2))) 2) (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2))) 2)) (+.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.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 -1 (*.f64 x (fma.f64 x -1/2 1))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 -1/2) (*.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (-.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))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.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 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.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 x (*.f64 x -1/2)))
(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 x (*.f64 x -1/2)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))
(+.f64 (*.f64 x (*.f64 x -1/2)) (neg.f64 x))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(+.f64 (*.f64 x (fma.f64 x -1/2 -1)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (*.f64 x (fma.f64 x -1/2 -1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (*.f64 x (fma.f64 x -1/2 -1)) (+.f64 (neg.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 0 (*.f64 x (fma.f64 x -1/2 -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(*.f64 1 (*.f64 x (fma.f64 x -1/2 -1)))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x)) (/.f64 1 (*.f64 x (fma.f64 x -1/2 1))))
(*.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1)))) (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3))))
(/.f64 1 (/.f64 (*.f64 x (fma.f64 x -1/2 1)) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x)) (*.f64 x (fma.f64 x -1/2 1)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x))) (neg.f64 (*.f64 x (fma.f64 x -1/2 1))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (neg.f64 x) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (neg.f64 x)))
(pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1)))) (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (*.f64 x (fma.f64 x -1/2 1)) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 -1/2) (*.f64 x x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 -1/2) (*.f64 x x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(fma.f64 -1 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 x -1 (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (*.f64 (neg.f64 x) 1))
(fma.f64 x (fma.f64 x -1/2 -1) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 x (fma.f64 x -1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x (fma.f64 x -1/2 -1) (+.f64 (neg.f64 x) x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(fma.f64 -1/2 (*.f64 x x) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x -1/2) x (neg.f64 x))
(fma.f64 (*.f64 x -1/2) x (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (neg.f64 x))
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1 (+.f64 (neg.f64 x) x))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (neg.f64 x))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (*.f64 x (fma.f64 x -1/2 -1)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 1 (*.f64 x (fma.f64 x -1/2 -1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 1 (*.f64 x (fma.f64 x -1/2 -1)) (+.f64 (neg.f64 x) x))
(fma.f64 1 (neg.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x x) -1/2 (neg.f64 x))
(fma.f64 (*.f64 x x) -1/2 (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1))))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x (fma.f64 x -1/2 1))))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x)) (/.f64 1 (*.f64 x (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x)) (/.f64 1 (*.f64 x (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 x x)) (/.f64 1 (*.f64 x (fma.f64 x -1/2 1))) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (neg.f64 x))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))
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 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 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 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 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 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1)
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1)))))
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(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (neg.f64 x))
(-.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (*.f64 x (cbrt.f64 (*.f64 x -1/2)))) x)
(-.f64 (*.f64 (cbrt.f64 (*.f64 x -1/2)) (*.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/4))))) x)
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (neg.f64 x))
(-.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (*.f64 x (cbrt.f64 (*.f64 x -1/2)))) x)
(-.f64 (*.f64 (cbrt.f64 (*.f64 x -1/2)) (*.f64 x (cbrt.f64 (*.f64 x (*.f64 x 1/4))))) x)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))

eval88.0ms (1%)

Compiler

Compiled 3733 to 2597 computations (30.4% saved)

prune34.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2310231
Fresh011
Picked022
Done044
Total2317238
Accurracy
100.0%
Counts
238 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓98.2%
(-.f64 -1 x)
✓98.5%
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
✓98.8%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓98.5%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.3%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓98.2%
(-.f64 -1 x)
✓98.5%
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
✓98.8%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓98.5%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.3%
-1
Compiler

Compiled 114 to 84 computations (26.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Accurracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓98.2%
(-.f64 -1 x)
✓98.5%
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
✓98.8%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓98.5%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.3%
-1
Compiler

Compiled 117 to 82 computations (29.9% saved)

regimes9.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(+.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:

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

Compiled 72 to 49 computations (31.9% saved)

regimes8.0ms (0.1%)

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

7.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 47 to 31 computations (34% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.5%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
98.5%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.2%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:

3.0ms
x
Results
AccuracySegmentsBranch
97.3%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022114
135114
239114
340114
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 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(+.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 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(+.f64 -1 (-.f64 (*.f64 x (*.f64 x -1/2)) x))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 -1 x)
-1
Compiler

Compiled 47 to 34 computations (27.7% saved)

soundness664.0ms (7.2%)

Rules
1546×unswap-sqr
1546×unswap-sqr
938×associate-*r*
938×associate-*r*
938×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
02736618
18006024
227125724
02736618
18006024
227125724
054011941
1130910983
2460310699
02736618
18006024
227125724
054011941
1130910983
2460310699
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 490 to 370 computations (24.5% saved)

end560.0ms (6.1%)

Compiler

Compiled 138 to 100 computations (27.5% saved)

Profiling

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