qlog (example 3.10)

Time bar (total: 9.3s)

analyze471.0ms (5.1%)

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

Compiled 17 to 13 computations (23.5% saved)

sample5.3s (57.6%)

Results
3.4s4119×body1024valid
1.0s2096×body512valid
486.0ms1589×body256valid
424.0ms452×body2048valid
Bogosity

preprocess335.0ms (3.6%)

Algorithm
egg-herbie
Rules
4580×fma-def
3900×associate-+r+
3404×associate-+l+
504×distribute-lft-out
358×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01667
12857
24357
37457
411357
515757
618557
721057
824157
933857
1040457
1147857
1252357
1353157
1453357
1575557
16101657
17114957
18131357
19131957
20131957
21214357
22239857
23264657
24277957
25279457
26279457
27454857
28454857
29454857
30454857
31454857
32775157
33780057
34798257
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.1%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.1%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize263.0ms (2.8%)

Localize:

Found 4 expressions with local error:

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)))
7.5%
(log.f64 (-.f64 1 x))
7.5%
(log.f64 (+.f64 1 x))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite73.0ms (0.8%)

Algorithm
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
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))))

simplify93.0ms (1%)

Algorithm
egg-herbie
Rules
956×associate-*r*
850×associate-+l+
754×associate-+r+
672×associate--r+
472×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02746804
18136032
227575686
Stop Event
node limit
Counts
150 → 183
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(*.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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.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 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.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 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (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 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
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(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))))
Outputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4))))
(*.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 (log.f64 x) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1) (+.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 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 -1/2 (*.f64 x x)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/3)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/3)) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1 x (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -1/3 (*.f64 -1/4 (pow.f64 x 4)))) x)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1))
(+.f64 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1 x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 -1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))) (log.f64 -1)))
(*.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 -1/2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(fma.f64 x -1 (fma.f64 -1/2 (*.f64 x x) -1))
(-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/12)) x))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (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 (-.f64 (neg.f64 (log.f64 -1)) (log.f64 x)) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (neg.f64 (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 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) x) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (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 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))))) (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)))) (fma.f64 -1/2 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1)) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))))
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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 (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 (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 (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 (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

eval82.0ms (0.9%)

Compiler

Compiled 5094 to 3622 computations (28.9% saved)

prune28.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1794183
Fresh000
Picked112
Done000
Total1805185
Accuracy
100.0%
Counts
185 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 -1 x)
99.9%
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
98.6%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 -1 x)
99.9%
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
98.6%
-1
Compiler

Compiled 76 to 56 computations (26.3% saved)

localize353.0ms (3.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 -1/2 (*.f64 x x))
100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
99.9%
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
99.5%
(*.f64 x -5/12)
Compiler

Compiled 76 to 44 computations (42.1% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite91.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1522×fma-def
1404×log-prod
524×expm1-udef
518×log1p-udef
492×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01382
130270
2426770
Stop Event
node limit
Counts
4 → 184
Calls
Call 1
Inputs
(*.f64 x -5/12)
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
(*.f64 -1/2 (*.f64 x 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 (*.f64 x (*.f64 x -1/2)) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -125/1728 (pow.f64 x 3) -1/8)) (fma.f64 (*.f64 x -5/12) (fma.f64 x -5/12 1/2) 1/4))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 25/144))) (+.f64 -1/2 (*.f64 5/12 x)))
(/.f64 (*.f64 (fma.f64 -125/1728 (pow.f64 x 3) -1/8) (*.f64 x x)) (fma.f64 (*.f64 x -5/12) (fma.f64 x -5/12 1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 25/144)) (*.f64 x x)) (+.f64 -1/2 (*.f64 5/12 x)))
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(log.f64 (*.f64 (exp.f64 (*.f64 -5/12 (pow.f64 x 3))) (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))
(log.f64 (*.f64 (exp.f64 (*.f64 -5/12 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 x (*.f64 x -1/2) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 x (*.f64 x (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(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 (*.f64 x x) -1/2 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(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 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (pow.f64 x 3) -5/12 (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x -1/2) x (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 x -1/2) x (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3)))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (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 (*.f64 x x) -5/12) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2)) (cbrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x -5/12) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (*.f64 (*.f64 x -1/2) 1) x (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (*.f64 x -1/2) 1) x (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))) (/.f64 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)
(*.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 1)
(*.f64 1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(*.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4))) (/.f64 1 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))))
(/.f64 1 (/.f64 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3)) (fma.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 (-.f64 -1 x) (*.f64 x x)) (fma.f64 x -5/12 -1/2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4))) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)))) (neg.f64 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3)) (+.f64 1 (fma.f64 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (*.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4) (neg.f64 (pow.f64 (-.f64 -1 x) 2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))) (+.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))
(pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1 (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (*.f64 x -1/2) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -1/2) 1) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 0 (*.f64 x (*.f64 x -1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))

simplify135.0ms (1.5%)

Algorithm
egg-herbie
Rules
1494×unswap-sqr
944×cancel-sign-sub-inv
810×fma-neg
524×times-frac
446×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04098016
110096670
235706652
Stop Event
node limit
Counts
232 → 255
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 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.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 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.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 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
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(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1 (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (*.f64 x -1/2) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -1/2) 1) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 0 (*.f64 x (*.f64 x -1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
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 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 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x 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 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x 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 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x 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 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x 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 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x 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 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x 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 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x 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 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x 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 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x 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 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(fma.f64 x -1 (fma.f64 x (*.f64 x -1/2) -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) x)
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) x)
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.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 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -5/12 x -1/2)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -5/12 x -1/2)) (*.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 -5/12 x -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 -5/12 x -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) 1)
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(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -5/12 -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 -5/12 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 -5/12 x -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)))
(fma.f64 (*.f64 x -1/2) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -5/12 -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 -5/12 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 -5/12 x -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x -1/2) 1) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(-.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) x)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(+.f64 0 (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(*.f64 x (*.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 x (*.f64 x -1/2))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))
(*.f64 x (*.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(*.f64 x (*.f64 x -1/2))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))
(*.f64 x (*.f64 x -1/2))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(*.f64 x (*.f64 x -1/2))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1))
(*.f64 x (*.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))

eval131.0ms (1.4%)

Compiler

Compiled 5034 to 3515 computations (30.2% saved)

prune34.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2541255
Fresh011
Picked033
Done011
Total2546260
Accuracy
100.0%
Counts
260 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 -1 x)
99.9%
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
99.9%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.6%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 -1 x)
99.9%
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
99.9%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.6%
-1
Compiler

Compiled 96 to 70 computations (27.1% saved)

localize32.0ms (0.3%)

Localize:

Found 1 expressions with local error:

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

Compiled 25 to 17 computations (32% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

simplify82.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01913030
14982634
213912294
353782294
Stop Event
node limit
Counts
82 → 108
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(*.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 1)
(*.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(*.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 x (*.f64 -1/2 (*.f64 x x))) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 x (*.f64 -1/2 (*.f64 x x))) 2) (*.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 -1/2 (*.f64 x x))) 2)) (+.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x)))))
(pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 (*.f64 x x)) -1/2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/2) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 2))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 (*.f64 x x)) 1 (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1/2 (*.f64 x x)))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
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(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/2) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (exp.f64 (-.f64 -1 x))))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 3))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 1))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) 1) 1))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 3))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 1/3))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))) 2))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (-.f64 -1 x) 1 (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 -1/2 (*.f64 x x)) 1 (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 1/4 x) x)) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x -1/2))) -1) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (cbrt.f64 x)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 -1/2 (cbrt.f64 x))) (-.f64 -1 x))
(fma.f64 x (*.f64 (cbrt.f64 x) (*.f64 -1/2 (cbrt.f64 (*.f64 x x)))) (-.f64 -1 x))
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 -1 x) 1)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 1/4 x) x)) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x -1/2))) -1) x)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 (*.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (cbrt.f64 x)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 -1/2 (cbrt.f64 x))) (-.f64 -1 x))
(fma.f64 x (*.f64 (cbrt.f64 x) (*.f64 -1/2 (cbrt.f64 (*.f64 x x)))) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval38.0ms (0.4%)

Compiler

Compiled 1695 to 1119 computations (34% saved)

prune26.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1071108
Fresh011
Picked101
Done134
Total1095114
Accuracy
100.0%
Counts
114 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.9%
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
99.7%
(-.f64 -1 x)
100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
98.6%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.9%
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
99.7%
(-.f64 -1 x)
100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
98.6%
-1
Compiler

Compiled 74 to 54 computations (27% saved)

localize32.0ms (0.4%)

Localize:

Found 1 expressions with local error:

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

Compiled 29 to 15 computations (48.3% saved)

eval5.0ms (0.1%)

Compiler

Compiled 236 to 166 computations (29.7% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New17017
Fresh011
Picked011
Done033
Total17522
Accuracy
100.0%
Counts
22 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.9%
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
99.7%
(-.f64 -1 x)
100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
98.6%
-1
Compiler

Compiled 98 to 68 computations (30.6% saved)

regimes11.0ms (0.1%)

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

7.0ms
x
2.0ms
(/.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 73 to 50 computations (31.5% saved)

regimes6.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 48 to 31 computations (35.4% 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 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
Outputs
(-.f64 -1 (-.f64 x (*.f64 -1/2 (*.f64 x x))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

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:

5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify21.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 47 to 34 computations (27.7% saved)

soundness1.4s (15.3%)

Rules
4580×fma-def
3900×associate-+r+
3404×associate-+l+
1494×unswap-sqr
956×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01667
12857
24357
37457
411357
515757
618557
721057
824157
933857
1040457
1147857
1252357
1353157
1453357
1575557
16101657
17114957
18131357
19131957
20131957
21214357
22239857
23264657
24277957
25279457
26279457
27454857
28454857
29454857
30454857
31454857
32775157
33780057
34798257
02746804
18136032
227575686
02746804
18136032
227575686
04098016
110096670
235706652
0925
120321
2279021
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 362 to 272 computations (24.9% saved)

end0.0ms (0%)

preprocess65.0ms (0.7%)

Compiler

Compiled 138 to 98 computations (29% saved)

Profiling

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