Rust f64::atanh

Time bar (total: 2.7s)

analyze2.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 4 to 3 computations (25% saved)

sample654.0ms (23.9%)

Results
639.0ms8256×body256valid
0.0ms12×body256invalid
Bogosity

preprocess14.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
6×sub-neg
4×fma-def
4×+-commutative
2×*-commutative
2×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
11114
21314
31514
42014
52414
62914
Stop Event
1×saturated
Calls
Call 1
Inputs
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
Outputs
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify106.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
2026×fma-def
498×times-frac
498×div-sub
404×associate-/r*
386×associate-*r*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01229
12029
23129
34929
46629
58929
614229
724025
839025
955125
1068025
1186725
12115125
13198725
14321625
15383325
16386525
17389725
18393725
19393725
Stop Event
1×saturated
Counts
1 → 7
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 1/2 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (+.f64 1/2 (*.f64 -1/2 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 -1/2 x 1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2))))

eval2.0ms (0.1%)

Compiler

Compiled 69 to 55 computations (20.3% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New527
Fresh011
Picked000
Done000
Total538
Accurracy
100.0%
Counts
8 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
▶99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
▶99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
Compiler

Compiled 44 to 36 computations (18.2% saved)

localize144.0ms (5.3%)

Local Accuracy

Found 5 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
✓100.0%
(/.f64 (*.f64 2 x) (-.f64 1 x))
✓100.0%
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
✓100.0%
(/.f64 (-.f64 1 x) x)
✓99.8%
(/.f64 2 (/.f64 (-.f64 1 x) x))
Compiler

Compiled 74 to 55 computations (25.7% saved)

series4.0ms (0.1%)

Counts
5 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
1.0ms
x
@inf
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
0.0ms
x
@-inf
(/.f64 (-.f64 1 x) x)
0.0ms
x
@inf
(/.f64 2 (/.f64 (-.f64 1 x) x))
0.0ms
x
@inf
(/.f64 (-.f64 1 x) x)

rewrite87.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
1498×prod-diff
1212×log-prod
516×pow-prod-up
476×pow-exp
414×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01397
128597
2339197
Stop Event
1×node limit
Counts
5 → 220
Calls
Call 1
Inputs
(/.f64 2 (/.f64 (-.f64 1 x) x))
(/.f64 (-.f64 1 x) x)
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
Outputs
(+.f64 0 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(-.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 1 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 1)
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (*.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2))) (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 -2 (/.f64 1 (neg.f64 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) 1) x)
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 x))) (neg.f64 x))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)
(pow.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2) 1) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(fma.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(+.f64 0 (+.f64 (pow.f64 x -1) -1))
(+.f64 (pow.f64 x -1) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1))) (cbrt.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1)))))
(-.f64 (pow.f64 x -1) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -1) -1))) 1)
(*.f64 1 (+.f64 (pow.f64 x -1) -1))
(*.f64 (-.f64 1 x) (pow.f64 x -1))
(*.f64 (+.f64 (pow.f64 x -1) -1) 1)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (*.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 x -1)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 2)) (cbrt.f64 (+.f64 (pow.f64 x -1) -1)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1) -1)))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 x -1) (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (+.f64 (pow.f64 x -1) -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)))
(pow.f64 (+.f64 (pow.f64 x -1) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) -1)) 2)
(pow.f64 (/.f64 x (-.f64 1 x)) -1)
(pow.f64 (/.f64 (/.f64 x (-.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1) -1)))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -1) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (pow.f64 x -1) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) -1))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) -1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1) -1)))
(fma.f64 1 (pow.f64 x -1) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1))) (cbrt.f64 (pow.f64 x -1)) -1)
(fma.f64 (sqrt.f64 (pow.f64 x -1)) (sqrt.f64 (pow.f64 x -1)) -1)
(+.f64 0 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)) (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 1)
(-.f64 (log.f64 (-.f64 1 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))) (log.f64 (-.f64 1 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2))
(log.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 2))
(+.f64 0 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(-.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 1 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 1)
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (*.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2))) (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 -2 (/.f64 1 (neg.f64 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) 1) x)
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 x))) (neg.f64 x))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)
(pow.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2) 1) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(fma.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)) (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 1)
(-.f64 (log.f64 (-.f64 1 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))) (log.f64 (-.f64 1 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2))
(log.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 2))

simplify105.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1318×times-frac
822×distribute-lft-in
768×unswap-sqr
766×distribute-rgt-in
442×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03738074
19087558
227926878
Stop Event
1×node limit
Counts
280 → 228
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.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 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(*.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 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.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 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.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 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.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 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 0 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(-.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 1 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 1)
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (*.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2))) (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 -2 (/.f64 1 (neg.f64 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) 1) x)
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 x))) (neg.f64 x))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)
(pow.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2) 1) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(fma.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(+.f64 0 (+.f64 (pow.f64 x -1) -1))
(+.f64 (pow.f64 x -1) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1))) (cbrt.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1)))))
(-.f64 (pow.f64 x -1) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -1) -1))) 1)
(*.f64 1 (+.f64 (pow.f64 x -1) -1))
(*.f64 (-.f64 1 x) (pow.f64 x -1))
(*.f64 (+.f64 (pow.f64 x -1) -1) 1)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (*.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 x -1)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 2)) (cbrt.f64 (+.f64 (pow.f64 x -1) -1)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1) -1)))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 x -1) (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (+.f64 (pow.f64 x -1) -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)))
(pow.f64 (+.f64 (pow.f64 x -1) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) -1)) 2)
(pow.f64 (/.f64 x (-.f64 1 x)) -1)
(pow.f64 (/.f64 (/.f64 x (-.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1) -1)))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -1) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (pow.f64 x -1) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) -1))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) -1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1) -1)))
(fma.f64 1 (pow.f64 x -1) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1))) (cbrt.f64 (pow.f64 x -1)) -1)
(fma.f64 (sqrt.f64 (pow.f64 x -1)) (sqrt.f64 (pow.f64 x -1)) -1)
(+.f64 0 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)) (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 1)
(-.f64 (log.f64 (-.f64 1 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))) (log.f64 (-.f64 1 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2))
(log.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 2))
(+.f64 0 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(-.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 1 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 1)
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (*.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2))) (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 -2 (/.f64 1 (neg.f64 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) 1) x)
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 x))) (neg.f64 x))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)
(pow.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2) 1) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(fma.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)) (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 1)
(-.f64 (log.f64 (-.f64 1 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))) (log.f64 (-.f64 1 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2))
(log.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 2))
Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (+.f64 (*.f64 x x) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) x)))
(*.f64 2 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(*.f64 2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)))
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(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 1 x))))
(+.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(+.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 0)
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1) 1))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 3))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1/3))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 2))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (pow.f64 x -1) 2) 1/2)) -1))
(/.f64 1 (+.f64 (/.f64 (/.f64 1 x) 2) -1/2))
(/.f64 1 (+.f64 (/.f64 1 (+.f64 x x)) -1/2))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(/.f64 2 (+.f64 -1 (/.f64 1 x)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(fma.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(+.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(+.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 0)
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(+.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(+.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 0)
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(+.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(+.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 0)
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(+.f64 0 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(log1p.f64 (*.f64 -2 (/.f64 x (+.f64 x -1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(log1p.f64 (*.f64 -2 (/.f64 x (+.f64 x -1))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)) (/.f64 2 (+.f64 (pow.f64 x -1) -1))))))
(-.f64 (log1p.f64 (/.f64 8 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3))) (log1p.f64 (-.f64 (*.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2)) (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(-.f64 (log1p.f64 (/.f64 8 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3))) (log1p.f64 (fma.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2) (/.f64 -2 (+.f64 -1 (/.f64 1 x))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))) 3)) (log1p.f64 (fma.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2) (/.f64 2 (+.f64 1 (/.f64 -1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 1)
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(-.f64 (log.f64 (-.f64 1 (*.f64 4 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))) (log.f64 (-.f64 1 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(-.f64 (log.f64 (+.f64 1 (*.f64 -4 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2)))) (log.f64 (-.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(-.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2) -4)) (log1p.f64 (/.f64 -2 (+.f64 -1 (/.f64 1 x)))))
(-.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2) -4)) (log1p.f64 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1)
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x)))) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 1)
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 3)
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3) 1/3)
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 2)
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 2))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(log.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(log1p.f64 (*.f64 -2 (/.f64 x (+.f64 x -1))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1)))) 1) 1))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 3))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))) 3)) 1/3))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (pow.f64 x -1) -1))))) 2))
(log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))

eval92.0ms (3.4%)

Compiler

Compiled 3677 to 3096 computations (15.8% saved)

prune38.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2217228
Fresh000
Picked112
Done000
Total2228230
Accurracy
100.0%
Counts
230 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
▶97.5%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
▶97.7%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶98.8%
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
99.6%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
▶97.5%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
▶97.7%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶98.8%
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 310 to 250 computations (19.4% saved)

localize236.0ms (8.6%)

Compiler

Compiled 154 to 81 computations (47.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New000
Fresh022
Picked055
Done011
Total088
Accurracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
✓97.5%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
▶99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
✓97.7%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓98.8%
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
✓0.0%
(*.f64 1/2 (log1p.f64 -2))
▶99.6%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
✓97.5%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
▶99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
✓97.7%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓98.8%
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
✓0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 166 to 134 computations (19.3% saved)

localize103.0ms (3.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 2/3 (pow.f64 x 3))
✓100.0%
(-.f64 (/.f64 1 x) 1)
✓100.0%
(log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1)))
✓99.8%
(/.f64 2 (-.f64 (/.f64 1 x) 1))
Compiler

Compiled 75 to 61 computations (18.7% saved)

series2.0ms (0.1%)

Counts
4 → 27
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@0
(log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1)))
0.0ms
x
@0
(/.f64 2 (-.f64 (/.f64 1 x) 1))

rewrite81.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
1144×log-prod
630×pow-prod-down
600×pow-prod-up
572×pow-exp
470×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01468
130268
2346868
Stop Event
1×node limit
Counts
4 → 134
Calls
Call 1
Inputs
(/.f64 2 (-.f64 (/.f64 1 x) 1))
(log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1)))
(-.f64 (/.f64 1 x) 1)
(*.f64 2/3 (pow.f64 x 3))
Outputs
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) -1)))
(*.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 -2 (/.f64 1 (+.f64 (neg.f64 (/.f64 1 x)) 1)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -3) -1)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -2) -1)) (+.f64 1 (/.f64 1 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) -1)
(+.f64 0 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1)
(-.f64 (log.f64 (-.f64 1 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))) (log.f64 (-.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(+.f64 (/.f64 1 x) -1)
(+.f64 0 (+.f64 (/.f64 1 x) -1))
(+.f64 -1 (/.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 x -3) -1) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (/.f64 1 x) -1))))
(/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) -1)) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 x))))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))
(expm1.f64 (neg.f64 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) -1))
(expm1.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 x) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 1 (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) 1 -1)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 1) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1) -1)
(fma.f64 -1 (/.f64 1 (neg.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) -1)
(+.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 4/9 (pow.f64 x 6)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 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 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))

simplify99.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
874×distribute-lft-in
838×distribute-rgt-in
764×unswap-sqr
476×associate-+l+
432×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03573963
18163763
224543625
Stop Event
1×node limit
Counts
161 → 210
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.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 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.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 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1 x)
-1
-1
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) -1)))
(*.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 -2 (/.f64 1 (+.f64 (neg.f64 (/.f64 1 x)) 1)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -3) -1)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -2) -1)) (+.f64 1 (/.f64 1 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) -1)
(+.f64 0 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1)
(-.f64 (log.f64 (-.f64 1 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))) (log.f64 (-.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(+.f64 (/.f64 1 x) -1)
(+.f64 0 (+.f64 (/.f64 1 x) -1))
(+.f64 -1 (/.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 x -3) -1) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 (pow.f64 x -1/2) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x -3) -1) (+.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (/.f64 1 x) -1))))
(/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) -1)) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 x))))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))
(expm1.f64 (neg.f64 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) -1))
(expm1.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 x) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 1 (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) 1 -1)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 1) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1) -1)
(fma.f64 -1 (/.f64 1 (neg.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) -1)
(+.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 4/9 (pow.f64 x 6)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 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 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (+.f64 (*.f64 x x) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) x)))
(*.f64 2 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(*.f64 2 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 4)))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 4)) (*.f64 x (fma.f64 x x x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 -2 (/.f64 2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -2 (-.f64 (/.f64 -2 (pow.f64 x 3)) (fma.f64 2 (pow.f64 x -2) (/.f64 2 x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 -2 (/.f64 2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -2 (-.f64 (/.f64 -2 (pow.f64 x 3)) (fma.f64 2 (pow.f64 x -2) (/.f64 2 x))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.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))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3)))))
(/.f64 1 x)
-1
-1
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(*.f64 2 (log.f64 (fabs.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) -1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 -2 (/.f64 1 (+.f64 (neg.f64 (/.f64 1 x)) 1)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -3) -1)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(/.f64 2 (/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -2)))))
(/.f64 (+.f64 2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x))) (+.f64 -1 (pow.f64 x -3)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -2) -1)) (+.f64 1 (/.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (+.f64 -1 (pow.f64 x -2))))
(/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) 1/2)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -1)
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1) -1)
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
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(*.f64 (pow.f64 x 3) 2/3)
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2))) 2))
(*.f64 (pow.f64 x 3) 2/3)
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 2/3)

eval99.0ms (3.6%)

Compiler

Compiled 3320 to 2911 computations (12.3% saved)

prune30.0ms (1.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2100210
Fresh000
Picked022
Done066
Total2108218
Accurracy
100.0%
Counts
218 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
✓97.5%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
✓97.7%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓98.8%
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
✓0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 169 to 133 computations (21.3% saved)

regimes33.0ms (1.2%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))))
Calls

4 calls:

13.0ms
x
7.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
6.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
6.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
100.0%1(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
100.0%1(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 116 to 89 computations (23.3% saved)

regimes25.0ms (0.9%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Calls

4 calls:

6.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
6.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
100.0%1(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
100.0%1(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 100 to 80 computations (20% saved)

regimes8.0ms (0.3%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes5.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes7.0ms (0.3%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
97.7%1x
Compiler

Compiled 21 to 17 computations (19% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 -2))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
24×*-commutative
20×unsub-neg
16×neg-mul-1
16×+-commutative
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034162
155162
266162
375162
488162
5107162
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 x 2) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 x (*.f64 x x)))))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 62 to 49 computations (21% saved)

soundness689.0ms (25.2%)

Rules
2026×fma-def
1498×prod-diff
1318×times-frac
1318×times-frac
1318×times-frac
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01229
12029
23129
34929
46629
58929
614229
724025
839025
955125
1068025
1186725
12115125
13198725
14321625
15383325
16386525
17389725
18393725
19393725
01397
128597
2339197
03738074
19087558
227926878
03738074
19087558
227926878
03738074
19087558
227926878
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 310 to 217 computations (30% saved)

end0.0ms (0%)

preprocess53.0ms (1.9%)

Compiler

Compiled 136 to 102 computations (25% saved)

Profiling

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