Hyperbolic arc-(co)tangent

Time bar (total: 8.3s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
40%25%37.5%0%0%37.5%0%4
66.7%37.5%18.7%0%0%43.7%0%5
82.4%43.7%9.4%0%0%46.9%0%6
90.9%46.9%4.7%0%0%48.4%0%7
95.4%48.4%2.3%0%0%49.2%0%8
97.7%49.2%1.2%0%0%49.6%0%9
98.8%49.6%0.6%0%0%49.8%0%10
99.4%49.8%0.3%0%0%49.9%0%11
99.7%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample4.0s (47.6%)

Results
2.5s4157×body1024valid
673.0ms2042×body512valid
517.0ms403×body2048valid
299.0ms1654×body256valid
1.0ms10×body256invalid
Bogosity

preprocess465.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
1684×fma-def
1428×associate-+r+
1246×fma-neg
830×unsub-neg
698×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01991
13875
26475
312875
426475
571275
6197675
7309875
8456075
9558875
10584975
11605775
12619275
13630375
14659475
15677875
16686575
17717375
18729375
19732175
20734175
21734975
22734975
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

eval2.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶8.9%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶8.9%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 40 to 32 computations (20% saved)

localize320.0ms (3.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(log1p.f64 x)
✓100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
✓8.9%
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 59 to 34 computations (42.4% saved)

series11.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
3.0ms
x
@0
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms
x
@0
(log1p.f64 x)
1.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms
x
@inf
(/.f64 (+.f64 1 x) (-.f64 1 x))

rewrite113.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
966×log-prod
562×pow-prod-down
530×prod-exp
480×pow-prod-up
428×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
120543
2266843
Stop Event
1×node limit
Counts
3 → 191
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log1p.f64 x)
Outputs
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 1 x) -1/2)) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (-.f64 1 x) (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (*.f64 2 (log1p.f64 (neg.f64 x))))
(-.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1)) (log.f64 (*.f64 (fma.f64 x (-.f64 x 1) 1) (-.f64 1 x))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1)) (*.f64 2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1 x -1))) (log.f64 (neg.f64 (neg.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x)))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) 1)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 2 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 -1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)
(neg.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (+.f64 1 x) (pow.f64 (E.f64) (neg.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (pow.f64 (E.f64) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))
(pow.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) 1)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))

simplify125.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
904×log-prod
728×exp-prod
670×fma-def
634×cube-prod
506×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05357265
113477005
253926635
Stop Event
1×node limit
Counts
227 → 333
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
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 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
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(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) 1)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5))) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5))) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (*.f64 x x))))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 x (*.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 x (*.f64 x (fma.f64 x x x)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 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 (pow.f64 x 3) 1/3)))
(+.f64 x (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (*.f64 -1/2 x) x)))
(+.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 (pow.f64 x 3) 1/3))))
(+.f64 (fma.f64 (*.f64 x x) -1/2 x) (fma.f64 (pow.f64 x 3) 1/3 (*.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 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 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 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.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 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.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 (log.f64 -1) (+.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(fma.f64 1/2 (log1p.f64 x) (log.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))))
(fma.f64 1/2 (log1p.f64 x) (log.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(fma.f64 1/2 (log1p.f64 x) (log.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 1 x))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 2/3 (log1p.f64 x)) (log.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))))
(fma.f64 2/3 (log1p.f64 x) (log.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (+.f64 x -1)))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
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(-.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 -1/3 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 (log1p.f64 (neg.f64 x)) -1/3))
(-.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (*.f64 -1/2 (log1p.f64 (neg.f64 x))))
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (log1p.f64 (pow.f64 x 3)) (neg.f64 (log.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x (+.f64 x -1) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x (neg.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(log.f64 (+.f64 1 x))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)

eval122.0ms (1.5%)

Compiler

Compiled 5748 to 3571 computations (37.9% saved)

prune63.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3303333
Fresh000
Picked022
Done000
Total3305335
Accuracy
100.0%
Counts
335 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶99.1%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶98.8%
(*.f64 1/2 (*.f64 2 x))
▶8.9%
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))
✓8.9%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶99.1%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶98.8%
(*.f64 1/2 (*.f64 2 x))
▶8.9%
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))
✓8.9%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 104 to 86 computations (17.3% saved)

localize1.2s (14.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
✓99.8%
(*.f64 2/3 (pow.f64 x 3))
✓8.9%
(log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))
Compiler

Compiled 108 to 84 computations (22.2% saved)

series11.0ms (0.1%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@0
(log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))
1.0ms
x
@0
(*.f64 2/3 (pow.f64 x 3))
1.0ms
x
@inf
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
1.0ms
x
@-inf
(*.f64 2/3 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 2/3 (pow.f64 x 3))

rewrite132.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1590×log-prod
1072×fma-def
588×expm1-udef
584×log1p-udef
504×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01757
138053
2471953
Stop Event
1×node limit
Counts
3 → 128
Calls
Call 1
Inputs
(log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
Outputs
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)
(+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 1)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))
(+.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 x))) (log.f64 -1))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (neg.f64 (-.f64 1 x))) (log.f64 (/.f64 1 (fma.f64 -1 x -1))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 x))) (log.f64 -1))
(-.f64 (log.f64 (neg.f64 (-.f64 1 x))) (log.f64 (fma.f64 -1 x -1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1)
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 0) (+.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2) (+.f64 0 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2) 0) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(fma.f64 1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)
(fma.f64 1 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1 0)
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 0)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 0)
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (cbrt.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 4/9 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)))) 1)
(-.f64 (/.f64 (*.f64 4/9 (pow.f64 x 6)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x))) (/.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x))))
(*.f64 1 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)))
(*.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)) 1)
(*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(*.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 4/9 (pow.f64 x 6)))))
(*.f64 (-.f64 (*.f64 4/9 (pow.f64 x 6)) (pow.f64 (+.f64 x x) 2)) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 4/9 (pow.f64 x 6))) (fma.f64 (pow.f64 x 3) 8 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3)))))
(/.f64 1 (/.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x)) (-.f64 (*.f64 4/9 (pow.f64 x 6)) (pow.f64 (+.f64 x x) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 4/9 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 4 (*.f64 x x) (-.f64 (*.f64 4/9 (pow.f64 x 6)) (*.f64 2/3 (*.f64 (pow.f64 x 3) (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 4/9 (pow.f64 x 6)) (pow.f64 (+.f64 x x) 2)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3)))) (neg.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 4/9 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 (*.f64 4/9 (pow.f64 x 6)) (pow.f64 (+.f64 x x) 2))) (neg.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 4/9 (pow.f64 x 6))) (-.f64 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3))))
(pow.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) 3)
(pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) (pow.f64 (exp.f64 2) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(fma.f64 1 (*.f64 2/3 (pow.f64 x 3)) (+.f64 x x))
(fma.f64 1 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 x (*.f64 (*.f64 x x) 2/3) (+.f64 x x))
(fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))
(fma.f64 (pow.f64 x 3) 2/3 (+.f64 x x))
(fma.f64 (*.f64 2/3 (pow.f64 x 3)) 1 (+.f64 x x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (+.f64 x x) 1 (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (*.f64 x (cbrt.f64 2/3)) (cbrt.f64 (*.f64 4/9 (pow.f64 x 6))) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 x 6))) (*.f64 x (cbrt.f64 2/3)) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 2) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (cbrt.f64 (+.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (*.f64 x x) (*.f64 x 2/3) (+.f64 x x))
(fma.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3) (+.f64 x x))
(fma.f64 (*.f64 2/3 x) (*.f64 x x) (+.f64 x x))
(fma.f64 (*.f64 2/3 (*.f64 x x)) x (+.f64 x x))
(fma.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 x x))
(fma.f64 (*.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 2/3 (pow.f64 x 3)))

simplify132.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
896×distribute-rgt-in
892×distribute-lft-in
744×unswap-sqr
468×associate-+l+
436×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03544237
18044031
224483859
Stop Event
1×node limit
Counts
143 → 193
Calls
Call 1
Inputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (*.f64 -2/5 (pow.f64 x 5))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/5 (pow.f64 x 5)) (*.f64 -2/7 (pow.f64 x 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(*.f64 2 x)
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)
(+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 1)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))
(+.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 x))) (log.f64 -1))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (neg.f64 (-.f64 1 x))) (log.f64 (/.f64 1 (fma.f64 -1 x -1))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 x))) (log.f64 -1))
(-.f64 (log.f64 (neg.f64 (-.f64 1 x))) (log.f64 (fma.f64 -1 x -1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1)
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 0) (+.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2) (+.f64 0 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2) 0) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(fma.f64 1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)
(fma.f64 1 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1 0)
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 0)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 0)
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (cbrt.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 4/9 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)))) 1)
(-.f64 (/.f64 (*.f64 4/9 (pow.f64 x 6)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x))) (/.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x))))
(*.f64 1 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)))
(*.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)) 1)
(*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(*.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 4/9 (pow.f64 x 6)))))
(*.f64 (-.f64 (*.f64 4/9 (pow.f64 x 6)) (pow.f64 (+.f64 x x) 2)) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 4/9 (pow.f64 x 6))) (fma.f64 (pow.f64 x 3) 8 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3)))))
(/.f64 1 (/.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x)) (-.f64 (*.f64 4/9 (pow.f64 x 6)) (pow.f64 (+.f64 x x) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 4/9 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 4 (*.f64 x x) (-.f64 (*.f64 4/9 (pow.f64 x 6)) (*.f64 2/3 (*.f64 (pow.f64 x 3) (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 4/9 (pow.f64 x 6)) (pow.f64 (+.f64 x x) 2)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3)))) (neg.f64 (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 4/9 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 (*.f64 4/9 (pow.f64 x 6)) (pow.f64 (+.f64 x x) 2))) (neg.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 4/9 (pow.f64 x 6))) (-.f64 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3))))
(pow.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) 3)
(pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) (pow.f64 (exp.f64 2) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))))
(fma.f64 1 (*.f64 2/3 (pow.f64 x 3)) (+.f64 x x))
(fma.f64 1 (+.f64 x x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 x (*.f64 (*.f64 x x) 2/3) (+.f64 x x))
(fma.f64 2/3 (pow.f64 x 3) (+.f64 x x))
(fma.f64 (pow.f64 x 3) 2/3 (+.f64 x x))
(fma.f64 (*.f64 2/3 (pow.f64 x 3)) 1 (+.f64 x x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (+.f64 x x) 1 (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (*.f64 x (cbrt.f64 2/3)) (cbrt.f64 (*.f64 4/9 (pow.f64 x 6))) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 x 6))) (*.f64 x (cbrt.f64 2/3)) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 2) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (cbrt.f64 (+.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (*.f64 x x) (*.f64 x 2/3) (+.f64 x x))
(fma.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3) (+.f64 x x))
(fma.f64 (*.f64 2/3 x) (*.f64 x x) (+.f64 x x))
(fma.f64 (*.f64 2/3 (*.f64 x x)) x (+.f64 x x))
(fma.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 x x))
(fma.f64 (*.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 2/3 (pow.f64 x 3)))
Outputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3)))
(fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (*.f64 -2/5 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2/5 (pow.f64 x 5))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/5 (pow.f64 x 5)) (*.f64 -2/7 (pow.f64 x 7)))))
(fma.f64 -2 x (fma.f64 -2/3 (pow.f64 x 3) (fma.f64 -2/5 (pow.f64 x 5) (*.f64 -2/7 (pow.f64 x 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (/.f64 -2 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2 x))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 x) (/.f64 2/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2/5 (pow.f64 x 5))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (/.f64 -2 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2 x))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 x) (/.f64 2/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2/5 (pow.f64 x 5))))
(*.f64 2 x)
(+.f64 x x)
(*.f64 2/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 2/3)
(*.f64 2/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 2/3)
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 1)))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(+.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 x))) (log.f64 -1))
(+.f64 (log.f64 -1) (log.f64 (/.f64 (neg.f64 (-.f64 1 x)) (+.f64 x 1))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (+.f64 -1 x)) (log1p.f64 x)))
(-.f64 (log.f64 (+.f64 x -1)) (-.f64 (log1p.f64 x) (log.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(+.f64 (log.f64 (neg.f64 (-.f64 1 x))) (log.f64 (/.f64 1 (fma.f64 -1 x -1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 x))) (log.f64 (fma.f64 -1 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 (fma.f64 -1 x -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (-.f64 -1 x)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log1p.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 x)))) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 x)))) (log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (-.f64 1 x)))))
(fma.f64 2 (log.f64 (cbrt.f64 (-.f64 1 x))) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log1p.f64 x)))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 x)))) (log1p.f64 x))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (neg.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (log.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1)))))
(-.f64 (log.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))))
(+.f64 (*.f64 -2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))) (log.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1)))))
(-.f64 (log.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1)))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 x)))) (log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (-.f64 1 x)))))
(fma.f64 2 (log.f64 (cbrt.f64 (-.f64 1 x))) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log1p.f64 x)))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) (*.f64 2 (-.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log.f64 (cbrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 x 1)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log1p.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(-.f64 (*.f64 2 (log1p.f64 (neg.f64 x))) (log1p.f64 (*.f64 x (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(+.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x 3) 1))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (pow.f64 x 3))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 x))) (log.f64 -1))
(-.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 x)) (+.f64 x 1))) (log.f64 -1))
(-.f64 (log.f64 (+.f64 -1 x)) (+.f64 (log1p.f64 x) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 x -1)) (+.f64 (log1p.f64 x) (log.f64 -1)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 x))) (log.f64 (fma.f64 -1 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 (fma.f64 -1 x -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (-.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 0) (+.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2) (+.f64 0 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0))))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2) 0) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 1 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1 0)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) 0)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 0)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 0)
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (cbrt.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 2/3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) 2/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(*.f64 (pow.f64 x 3) 2/3)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) 2/3)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 (pow.f64 x 3) 2/3)
(pow.f64 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3)) 1/3)
(cbrt.f64 (*.f64 8/27 (pow.f64 (pow.f64 x 3) 3)))
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(*.f64 (pow.f64 x 3) 2/3)
(sqrt.f64 (*.f64 4/9 (pow.f64 x 6)))
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(fma.f64 x 2 (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (*.f64 2/3 (*.f64 x x)) x (+.f64 x x))
(fma.f64 (pow.f64 x 3) 2/3 (+.f64 x x))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 x x))
(fma.f64 (pow.f64 x 3) 2/3 (+.f64 x x))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (*.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 2 (cbrt.f64 x)) (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 2/3 (+.f64 x x))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) 2/3))

eval143.0ms (1.7%)

Compiler

Compiled 3212 to 2273 computations (29.2% saved)

prune66.0ms (0.8%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1930193
Fresh000
Picked033
Done022
Total1935198
Accuracy
100.0%
Counts
198 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓99.1%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓98.8%
(*.f64 1/2 (*.f64 2 x))
✓8.9%
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))
✓8.9%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 112 to 92 computations (17.9% saved)

regimes32.0ms (0.4%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Calls

4 calls:

8.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
6.0ms
x
4.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
3.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
100.0%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
100.0%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 92 to 74 computations (19.6% saved)

regimes17.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))
Outputs
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
Calls

4 calls:

6.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
4.0ms
x
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
99.1%1x
99.1%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
99.1%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.1%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 84 to 68 computations (19% saved)

regimes8.0ms (0.1%)

Accuracy

Total -58.2b remaining (-7439%)

Threshold costs -58.2b (-7439%)

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

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
98.8%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01969
13169
23669
33969
44069
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (*.f64 2 x))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x 2))
Compiler

Compiled 27 to 22 computations (18.5% saved)

soundness1.3s (15.3%)

Rules
1684×fma-def
1684×fma-def
1428×associate-+r+
1428×associate-+r+
1246×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01991
13875
26475
312875
426475
571275
6197675
7309875
8456075
9558875
10584975
11605775
12619275
13630375
14659475
15677875
16686575
17717375
18729375
19732175
20734175
21734975
22734975
01991
13875
26475
312875
426475
571275
6197675
7309875
8456075
9558875
10584975
11605775
12619275
13630375
14659475
15677875
16686575
17717375
18729375
19732175
20734175
21734975
22734975
Stop Event
1×node limit
1×node limit
Compiler

Compiled 84 to 65 computations (22.6% saved)

end0.0ms (0%)

preprocess101.0ms (1.2%)

Compiler

Compiled 76 to 62 computations (18.4% saved)

Profiling

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