Hyperbolic arcsine

Time bar (total: 7.5s)

analyze71.0ms (0.9%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
50%50%50%0%0%0%0%3
62.5%62.5%37.5%0%0%0%0%4
68.8%68.7%31.2%0%0%0%0%5
71.9%71.8%28.1%0%0%0%0%6
73.4%73.4%26.5%0%0%0%0%7
74.2%74.2%25.8%0%0%0%0%8
74.6%74.6%25.4%0%0%0%0%9
74.8%74.8%25.2%0%0%0%0%10
74.9%74.9%25.1%0%0%0%0%11
75%74.9%25%0%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.5s (33.7%)

Results
1.1s2519×body1024valid
629.0ms1318×body2048valid
457.0ms3123×body256valid
303.0ms1257×body512valid
20.0ms39×body4096valid
Bogosity

preprocess261.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
4550×fma-def
3750×associate-+r+
3054×associate-+l+
1272×distribute-lft-in
480×distribute-lft-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01650
13334
25934
310634
418134
527034
633534
738934
842234
949134
1071934
1198534
12121034
13139234
14140234
15140434
16140434
17219634
18245134
19269934
20283234
21284734
22284734
23454534
24454534
25454534
26454534
27454534
28762534
29767434
30785634
31794834
32795934
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
2×1-exp
2×hypot-1-def
2×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
11617
21717
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval1.0ms (0%)

Compiler

Compiled 24 to 16 computations (33.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
29.9%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶29.9%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶29.9%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize130.0ms (1.7%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓73.6%
(+.f64 x (hypot.f64 1 x))
✓57.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms
x
@-inf
(+.f64 x (hypot.f64 1 x))
0.0ms
x
@inf
(+.f64 x (hypot.f64 1 x))

rewrite80.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1590×pow1
1466×add-exp-log
1466×log1p-expm1-u
1466×expm1-log1p-u
1432×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
115830
2199930
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))

simplify76.0ms (1%)

Algorithm
1×egg-herbie
Rules
1522×fma-def
1096×fma-neg
724×unswap-sqr
698×log-prod
450×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02142548
15482180
217102040
366102040
Stop Event
1×node limit
Counts
80 → 136
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
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(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval58.0ms (0.8%)

Compiler

Compiled 1915 to 1409 computations (26.4% saved)

prune33.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1279136
Fresh000
Picked011
Done000
Total12710137
Accurracy
100.0%
Counts
137 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶29.9%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
▶47.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
47.2%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶24.7%
(+.f64 (log.f64 2) (log.f64 x))
▶28.7%
(log.f64 (/.f64 -1/2 x))
33.3%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓29.9%
(log.f64 (+.f64 x (hypot.f64 1 x)))
24.4%
(log.f64 (+.f64 x x))
▶11.2%
(log.f64 (+.f64 x 1))
49.0%
x
▶29.9%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
▶47.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
47.2%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶24.7%
(+.f64 (log.f64 2) (log.f64 x))
▶28.7%
(log.f64 (/.f64 -1/2 x))
33.3%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓29.9%
(log.f64 (+.f64 x (hypot.f64 1 x)))
24.4%
(log.f64 (+.f64 x x))
▶11.2%
(log.f64 (+.f64 x 1))
49.0%
x
Compiler

Compiled 270 to 208 computations (23% saved)

localize230.0ms (3.1%)

Compiler

Compiled 106 to 76 computations (28.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New000
Fresh044
Picked055
Done011
Total01010
Accurracy
100.0%
Counts
10 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓29.9%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
✓47.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
▶47.2%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓24.7%
(+.f64 (log.f64 2) (log.f64 x))
✓28.7%
(log.f64 (/.f64 -1/2 x))
▶33.3%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓29.9%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶24.4%
(log.f64 (+.f64 x x))
✓11.2%
(log.f64 (+.f64 x 1))
49.0%
x
✓29.9%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
✓47.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
▶47.2%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓24.7%
(+.f64 (log.f64 2) (log.f64 x))
✓28.7%
(log.f64 (/.f64 -1/2 x))
▶33.3%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓29.9%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶24.4%
(log.f64 (+.f64 x x))
✓11.2%
(log.f64 (+.f64 x 1))
49.0%
x
Compiler

Compiled 144 to 110 computations (23.6% saved)

localize184.0ms (2.4%)

Local Accuracy

Found 7 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓100.0%
(pow.f64 x 3)
✓99.9%
(*.f64 -1/6 (pow.f64 x 3))
✓99.9%
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
✓78.0%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓77.3%
(-.f64 x (hypot.f64 1 x))
✓99.6%
(log.f64 (+.f64 x x))
Compiler

Compiled 54 to 35 computations (35.2% saved)

series71.0ms (0.9%)

Counts
7 → 51
Calls

21 calls:

TimeVariablePointExpression
37.0ms
x
@-inf
(log.f64 (+.f64 x x))
24.0ms
x
@0
(log.f64 (+.f64 x x))
6.0ms
x
@inf
(log.f64 (+.f64 x x))
1.0ms
x
@-inf
(pow.f64 x 3)
0.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))

rewrite133.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1484×log-prod
1174×fma-def
590×expm1-udef
584×log1p-udef
568×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017101
1365101
24630101
Stop Event
1×node limit
Counts
7 → 311
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(-.f64 x (hypot.f64 1 x))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 (log.f64 4) (log.f64 (*.f64 x x)))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (+.f64 x x))))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 2)) (log.f64 x))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 0 (log.f64 (+.f64 x x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(-.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(-.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 2) (*.f64 (pow.f64 x 3) 2))) (log.f64 (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 0)) (log.f64 (sqrt.f64 0)))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 2) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
(-.f64 (log.f64 (*.f64 0 (*.f64 (pow.f64 x 3) 2))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
(-.f64 (log.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (*.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 2))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 2) (+.f64 x x))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 0 (+.f64 x x))) (log.f64 0))
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 0) (neg.f64 (log.f64 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (log.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 0)) (cbrt.f64 (log.f64 0))) (cbrt.f64 (log.f64 0)) (neg.f64 (log.f64 0)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 0)) (sqrt.f64 (log.f64 0)) (neg.f64 (log.f64 0)))
(+.f64 x (neg.f64 (hypot.f64 1 x)))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(+.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(+.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(+.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(+.f64 0 (-.f64 x (hypot.f64 1 x)))
(+.f64 (neg.f64 (hypot.f64 1 x)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (-.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 1 x)) 3)) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x))) (*.f64 x (neg.f64 (hypot.f64 1 x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x)))) (-.f64 x (neg.f64 (hypot.f64 1 x))))
(pow.f64 (-.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 1 (exp.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (neg.f64 (hypot.f64 1 x)))
(fma.f64 x 1 (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 1 x (neg.f64 (hypot.f64 1 x)))
(fma.f64 1 x (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 1 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 1 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 1 (-.f64 x (hypot.f64 1 x)) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 1 (neg.f64 (hypot.f64 1 x)) x)
(fma.f64 (-.f64 x (hypot.f64 1 x)) 1 (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (-.f64 x (hypot.f64 1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (-.f64 x (hypot.f64 1 x)) 1 (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 -1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (neg.f64 (cbrt.f64 (hypot.f64 1 x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (hypot.f64 1 x)))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (*.f64 (*.f64 x x) -1/6) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 x x) (*.f64 x -1/6) x)
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) x)
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)

simplify171.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1158×fma-neg
1070×log-prod
608×fma-def
462×exp-prod
460×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07489456
116948746
254308698
Stop Event
1×node limit
Counts
362 → 459
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)) 1)
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 (log.f64 4) (log.f64 (*.f64 x x)))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (+.f64 x x))))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 2)) (log.f64 x))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 0 (log.f64 (+.f64 x x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(-.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(-.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 2) (*.f64 (pow.f64 x 3) 2))) (log.f64 (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 0)) (log.f64 (sqrt.f64 0)))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 2) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
(-.f64 (log.f64 (*.f64 0 (*.f64 (pow.f64 x 3) 2))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
(-.f64 (log.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (*.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 2))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 2) (+.f64 x x))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 0 (+.f64 x x))) (log.f64 0))
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 0) (neg.f64 (log.f64 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (log.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 0)) (cbrt.f64 (log.f64 0))) (cbrt.f64 (log.f64 0)) (neg.f64 (log.f64 0)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 0)) (sqrt.f64 (log.f64 0)) (neg.f64 (log.f64 0)))
(+.f64 x (neg.f64 (hypot.f64 1 x)))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(+.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(+.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(+.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(+.f64 0 (-.f64 x (hypot.f64 1 x)))
(+.f64 (neg.f64 (hypot.f64 1 x)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (-.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 1 x)) 3)) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x))) (*.f64 x (neg.f64 (hypot.f64 1 x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x)))) (-.f64 x (neg.f64 (hypot.f64 1 x))))
(pow.f64 (-.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 1 (exp.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (neg.f64 (hypot.f64 1 x)))
(fma.f64 x 1 (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 1 x (neg.f64 (hypot.f64 1 x)))
(fma.f64 1 x (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 1 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 1 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 1 (-.f64 x (hypot.f64 1 x)) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 1 (neg.f64 (hypot.f64 1 x)) x)
(fma.f64 (-.f64 x (hypot.f64 1 x)) 1 (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (-.f64 x (hypot.f64 1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (-.f64 x (hypot.f64 1 x)) 1 (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 -1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
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(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (*.f64 (*.f64 x x) -1/6) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 x x) (*.f64 x -1/6) x)
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) x)
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) x) -1)
(fma.f64 -1/2 (*.f64 x x) (+.f64 x -1))
(+.f64 x (fma.f64 -1/2 (*.f64 x x) -1))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) x)) -1)
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (+.f64 x -1)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) x) (fma.f64 1/8 (pow.f64 x 4) -1))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 7) -5/112 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (+.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (+.f64 x x))) (/.f64 -3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (+.f64 x x))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 4) (log.f64 (*.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
0
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (+.f64 x x))))
(*.f64 2 (log.f64 (+.f64 x x)))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (cbrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 2)) (log.f64 x))
(*.f64 2 (log.f64 (+.f64 x x)))
(-.f64 (log.f64 0) (log.f64 0))
0
(-.f64 0 (log.f64 (+.f64 x x)))
(neg.f64 (log.f64 (+.f64 x x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (*.f64 2 (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(-.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (*.f64 x x))))
(-.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3)))) (*.f64 2 (log.f64 (cbrt.f64 x))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (*.f64 x x))))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 2) (*.f64 (pow.f64 x 3) 2))) (log.f64 (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))))
(-.f64 (log.f64 (*.f64 (pow.f64 x 6) 4)) (log.f64 (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))))
(-.f64 (log.f64 (*.f64 4 (pow.f64 x 6))) (log.f64 (pow.f64 x 4)))
(-.f64 (log.f64 (*.f64 4 (pow.f64 x 6))) (*.f64 4 (log.f64 x)))
(-.f64 (log.f64 (sqrt.f64 0)) (log.f64 (sqrt.f64 0)))
0
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x 3) 2) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
0
(-.f64 (log.f64 (*.f64 0 (*.f64 (pow.f64 x 3) 2))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
0
(-.f64 (log.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (*.f64 (pow.f64 x 3) -2)) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) (log.f64 (*.f64 x (neg.f64 x))))
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(fma.f64 (pow.f64 x 3) -1/6 x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(fma.f64 (pow.f64 x 3) -1/6 x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(fma.f64 (pow.f64 x 3) -1/6 x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(fma.f64 (pow.f64 x 3) -1/6 x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 x (*.f64 (*.f64 x x) -1/6) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 x x) (*.f64 x -1/6) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2) x)
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(fma.f64 (pow.f64 x 3) -1/6 x)

eval180.0ms (2.4%)

Compiler

Compiled 6770 to 4948 computations (26.9% saved)

prune80.0ms (1.1%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New4554459
Fresh011
Picked213
Done066
Total45712469
Accurracy
100.0%
Counts
469 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓29.9%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
✓47.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
▶47.2%
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
▶13.2%
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
✓24.7%
(+.f64 (log.f64 2) (log.f64 x))
▶34.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓28.7%
(log.f64 (/.f64 -1/2 x))
▶29.4%
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
✓29.9%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓24.4%
(log.f64 (+.f64 x x))
✓11.2%
(log.f64 (+.f64 x 1))
49.0%
x
✓29.9%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
✓47.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
▶47.2%
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
▶13.2%
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
✓24.7%
(+.f64 (log.f64 2) (log.f64 x))
▶34.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓28.7%
(log.f64 (/.f64 -1/2 x))
▶29.4%
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
✓29.9%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓24.4%
(log.f64 (+.f64 x x))
✓11.2%
(log.f64 (+.f64 x 1))
49.0%
x
Compiler

Compiled 226 to 168 computations (25.7% saved)

localize851.0ms (11.3%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
✓99.9%
(*.f64 (*.f64 x x) x)
✓99.9%
(*.f64 -1/6 (*.f64 (*.f64 x x) x))
✓99.6%
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
✓72.9%
(fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))
✓71.6%
(log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
✓60.9%
(log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
✓79.0%
(log.f64 (-.f64 (hypot.f64 1 x) x))
✓99.9%
(/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
Compiler

Compiled 210 to 138 computations (34.3% saved)

series8.0ms (0.1%)

Counts
9 → 108
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
1.0ms
x
@inf
(log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
1.0ms
x
@inf
(log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
1.0ms
x
@0
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
1.0ms
x
@-inf
(log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))

rewrite86.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
698×add-sqr-sqrt
682×pow1
674×*-un-lft-identity
656×add-exp-log
650×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033237
1729237
Stop Event
1×node limit
Counts
9 → 191
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(*.f64 -1/6 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 1 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2)
(pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)
(pow.f64 (*.f64 (fma.f64 2 x (/.f64 1/2 x)) -1) -1)
(sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2)))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (fma.f64 x x (*.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 (hypot.f64 1 x) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 0 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) (log.f64 (hypot.f64 x (sqrt.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2)) (log.f64 (cbrt.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))) 1)
(*.f64 1 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) 2) (cbrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) (sqrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) 1))
(log1p.f64 (-.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) 1))
(+.f64 0 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2)) (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) (log.f64 (sqrt.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(-.f64 0 (log.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) -1)))
(-.f64 (log.f64 -1) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) 1)
(*.f64 1 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 2) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3)) (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (+.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (log.f64 -1) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))
(pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 2)
(neg.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) -1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(exp.f64 (log.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 1))
(log1p.f64 (-.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1))
(+.f64 (*.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 1)
(*.f64 1 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) 2) (cbrt.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (hypot.f64 1 x)) 3) (pow.f64 (fma.f64 x x 1) 3)) (+.f64 (*.f64 (*.f64 x (hypot.f64 1 x)) (*.f64 x (hypot.f64 1 x))) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))
(pow.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(exp.f64 (log.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (log.f64 (/.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))) (/.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2) (log.f64 (/.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))))
(*.f64 1 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) 2) (cbrt.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))
(*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 3) (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (-.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2) (*.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2)) (/.f64 1 (log.f64 (/.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (-.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2) (*.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 3) (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 3) (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (-.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2) (*.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2)) (log.f64 (/.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 3) (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (-.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2) (*.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2))) (neg.f64 (log.f64 (/.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 3) (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 3)) (+.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2) (-.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (*.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))))
(pow.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 2))
(log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(log.f64 (+.f64 1 (-.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))
(exp.f64 (log.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) 1))
(log1p.f64 (-.f64 (*.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 1))
(fma.f64 1 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(fma.f64 1 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 2) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) 2) (cbrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(fma.f64 (sqrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) (sqrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 -1/216 (pow.f64 x 9)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(sqrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 -1/216 (pow.f64 x 9)))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(pow.f64 x 3)
(pow.f64 (*.f64 x x) 3/2)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (pow.f64 x 9) 1/3)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (+.f64 (*.f64 -1/216 (pow.f64 x 9)) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (+.f64 (*.f64 -1/216 (pow.f64 x 9)) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 -1/216 (pow.f64 x 9)) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 -1/216 (pow.f64 x 9)) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 x 9))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)

simplify143.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1198×fma-neg
848×log-prod
704×fma-def
504×+-commutative
400×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062711335
1159010735
2572010709
Stop Event
1×node limit
Counts
299 → 437
Calls
Call 1
Inputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 8 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (*.f64 128 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
x
(+.f64 (*.f64 3/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (+.f64 (*.f64 -7/6 (pow.f64 x 3)) x))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (+.f64 (*.f64 -7/6 (pow.f64 x 3)) x)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(*.f64 -2 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 5/64 (/.f64 1 (pow.f64 x 8))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(*.f64 -3/2 (pow.f64 x 2))
(+.f64 (*.f64 -3/2 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 3/4 (pow.f64 x 4)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 (*.f64 3/4 (pow.f64 x 4)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (+.f64 (*.f64 -3/2 (pow.f64 x 5)) (pow.f64 x 3))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 2/3))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2/3)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2/3) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2/3) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (*.f64 3 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) 3/2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) 3/2) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 3/2 (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
1/2
(+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 6))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2/3) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2/3) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2/3) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2/3) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (*.f64 3 (log.f64 (/.f64 -1 x))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 1 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2)
(pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)
(pow.f64 (*.f64 (fma.f64 2 x (/.f64 1/2 x)) -1) -1)
(sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2)))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (fma.f64 x x (*.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 (hypot.f64 1 x) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 0 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) (log.f64 (hypot.f64 x (sqrt.f64 (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2)) (log.f64 (cbrt.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))) 1)
(*.f64 1 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) 2) (cbrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) (sqrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))) 1))
(log1p.f64 (-.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))) 1))
(+.f64 0 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2)) (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) (log.f64 (sqrt.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(-.f64 0 (log.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) -1)))
(-.f64 (log.f64 -1) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) 1)
(*.f64 1 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 2) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
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(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 -1/216 (pow.f64 x 9)) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 -1/216 (pow.f64 x 9)) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 x 9))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)
Outputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 8 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 8 (pow.f64 x 3)))
(fma.f64 8 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (*.f64 128 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/32 (pow.f64 x 5)))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 1/32 (pow.f64 x 5))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/32 (pow.f64 x 5)))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 1/32 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(-.f64 (*.f64 (pow.f64 x 3) 1/6) x)
(fma.f64 (pow.f64 x 3) 1/6 (neg.f64 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 (pow.f64 x 5) -3/40)))
(fma.f64 (pow.f64 x 3) 1/6 (-.f64 (*.f64 (pow.f64 x 5) -3/40) x))
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 (pow.f64 x 5) -3/40))))
(fma.f64 (pow.f64 x 7) 5/112 (fma.f64 (pow.f64 x 3) 1/6 (-.f64 (*.f64 (pow.f64 x 5) -3/40) x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 2)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 2)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
x
(+.f64 (*.f64 3/2 (pow.f64 x 2)) x)
(fma.f64 3/2 (*.f64 x x) x)
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (+.f64 (*.f64 -7/6 (pow.f64 x 3)) x))
(fma.f64 3/2 (*.f64 x x) (fma.f64 -7/6 (pow.f64 x 3) x))
(fma.f64 3/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -7/6 x))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (+.f64 (*.f64 -7/6 (pow.f64 x 3)) x)))
(fma.f64 -3/4 (pow.f64 x 4) (fma.f64 3/2 (*.f64 x x) (fma.f64 -7/6 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 4) -3/4 (fma.f64 3/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -7/6 x)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3)) (/.f64 (/.f64 1/2 x) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3)) (/.f64 1/6 (pow.f64 x 4))))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1/6 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3)) (/.f64 1/12 (pow.f64 x 6))) (/.f64 1/6 (pow.f64 x 4))))
(+.f64 (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 3)) (/.f64 1/12 (pow.f64 x 6))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1/6 (pow.f64 x 4))))
(*.f64 -2 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x)))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 1/2 x) x))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 1/12 (pow.f64 x 6)))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1/12 (pow.f64 x 6))))
(+.f64 (/.f64 (/.f64 1/2 x) x) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1/12 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 5/64 (/.f64 1 (pow.f64 x 8))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 5/64 (pow.f64 x 8))) (/.f64 1/12 (pow.f64 x 6)))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 5/64 (pow.f64 x 8)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1/12 (pow.f64 x 6)))))
(*.f64 -3/2 (pow.f64 x 2))
(*.f64 -3/2 (*.f64 x x))
(*.f64 x (*.f64 x -3/2))
(+.f64 (*.f64 -3/2 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -3/2 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x -3/2))
(+.f64 (*.f64 3/4 (pow.f64 x 4)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 3/4 (pow.f64 x 4) (fma.f64 -3/2 (*.f64 x x) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 4) 3/4 (*.f64 (*.f64 x x) (+.f64 x -3/2)))
(+.f64 (*.f64 3/4 (pow.f64 x 4)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (+.f64 (*.f64 -3/2 (pow.f64 x 5)) (pow.f64 x 3))))
(fma.f64 3/4 (pow.f64 x 4) (fma.f64 -3/2 (*.f64 x x) (fma.f64 -3/2 (pow.f64 x 5) (pow.f64 x 3))))
(fma.f64 (pow.f64 x 4) 3/4 (fma.f64 -3/2 (*.f64 x x) (fma.f64 (pow.f64 x 5) -3/2 (pow.f64 x 3))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 2/3))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2/3))
(-.f64 (log.f64 2/3) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2/3)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 2/3) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 2/3) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2/3) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 2/3) (/.f64 7/96 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 2/3) (log.f64 x)) (-.f64 (/.f64 7/96 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2/3) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2/3) (/.f64 7/96 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 6))))
(-.f64 (+.f64 (-.f64 (log.f64 2/3) (log.f64 x)) (/.f64 7/96 (pow.f64 x 4))) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/32 (pow.f64 x 6))))
(+.f64 (log.f64 1/2) (*.f64 3 (log.f64 (/.f64 -1 x))))
(fma.f64 3 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 3 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 3/4 (*.f64 x x)))
(+.f64 (fma.f64 3 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 -3/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (fma.f64 3 (log.f64 (/.f64 -1 x)) (/.f64 -3/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 3 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4)))) (/.f64 3/4 (*.f64 x x)))
(fma.f64 3 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 (/.f64 3/4 x) x))))
(+.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (fma.f64 3 (log.f64 (/.f64 -1 x)) (/.f64 -3/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/32 (pow.f64 x 6)) (-.f64 (fma.f64 3 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4)))) (/.f64 3/4 (*.f64 x x))))
(+.f64 (/.f64 1/32 (pow.f64 x 6)) (fma.f64 3 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 (/.f64 3/4 x) x)))))
(+.f64 (/.f64 1/32 (pow.f64 x 6)) (+.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (fma.f64 3 (log.f64 (/.f64 -1 x)) (/.f64 -3/4 (*.f64 x x)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 (fma.f64 x x 1) x)
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(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 2) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 (pow.f64 x 3) -1/6 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 (neg.f64 x)))
(/.f64 (+.f64 (*.f64 -1/216 (pow.f64 x 9)) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(/.f64 (*.f64 (fma.f64 -1/216 (pow.f64 x 9) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 2) (*.f64 x (-.f64 x (*.f64 (pow.f64 x 3) -1/6)))))
(/.f64 (fma.f64 -1/216 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 x x (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 x 9) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 2) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 (pow.f64 x 3) -1/6 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 -1/216 (pow.f64 x 9)) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))
(/.f64 (neg.f64 (fma.f64 -1/216 (pow.f64 x 9) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 2) (*.f64 x (-.f64 x (*.f64 (pow.f64 x 3) -1/6))))))
(*.f64 1 (/.f64 (fma.f64 -1/216 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 x x (*.f64 1/6 (pow.f64 x 4))))))
(*.f64 1 (/.f64 (fma.f64 -1/216 (pow.f64 x 9) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 2) (*.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(*.f64 1 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 (pow.f64 x 3) -1/6 (neg.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (*.f64 (pow.f64 x 3) 1/6) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 x 9))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (*.f64 (fma.f64 -1/216 (pow.f64 x 9) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 2) (*.f64 x (-.f64 x (*.f64 (pow.f64 x 3) -1/6)))))
(/.f64 (fma.f64 -1/216 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 x x (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 x 9) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 (pow.f64 x 3) -1/6 x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(fma.f64 (pow.f64 x 3) -1/6 x)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 (pow.f64 x 3) -1/6 x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(fma.f64 (pow.f64 x 3) -1/6 x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(fma.f64 (pow.f64 x 3) -1/6 x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 (pow.f64 x 3) -1/6 x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(fma.f64 (pow.f64 x 3) -1/6 x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(fma.f64 (pow.f64 x 3) -1/6 x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (pow.f64 x 3) 1/6))
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2) x)
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)
(fma.f64 (pow.f64 x 3) -1/6 x)

eval450.0ms (6%)

Compiler

Compiled 10807 to 7946 computations (26.5% saved)

prune173.0ms (2.3%)

Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New4352437
Fresh011
Picked134
Done077
Total43613449
Accurracy
100.0%
Counts
449 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓29.9%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
✓47.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓47.2%
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
13.2%
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (+.f64 (*.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))
✓24.7%
(+.f64 (log.f64 2) (log.f64 x))
✓34.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
30.9%
(neg.f64 (exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
✓28.7%
(log.f64 (/.f64 -1/2 x))
✓29.4%
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
✓29.9%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓24.4%
(log.f64 (+.f64 x x))
✓11.2%
(log.f64 (+.f64 x 1))
49.0%
x
Compiler

Compiled 286 to 208 computations (27.3% saved)

regimes79.0ms (1%)

Counts
17 → 3
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(neg.f64 (exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (+.f64 (*.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (log.f64 2) (log.f64 x))
Calls

3 calls:

35.0ms
x
20.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
19.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
99.7%3x
88.3%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
88.3%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 183 to 129 computations (29.5% saved)

regimes36.0ms (0.5%)

Counts
13 → 3
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(+.f64 (log.f64 2) (log.f64 x))
Calls

1 calls:

33.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
Compiler

Compiled 89 to 62 computations (30.3% saved)

regimes27.0ms (0.4%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(+.f64 (log.f64 2) (log.f64 x))
Calls

1 calls:

25.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 55 to 38 computations (30.9% saved)

regimes18.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
Outputs
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x x))
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 44 to 30 computations (31.8% saved)

regimes17.0ms (0.2%)

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

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes10.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
Outputs
x
(log.f64 (+.f64 x x))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
71.6%2x
Compiler

Compiled 21 to 12 computations (42.9% saved)

regimes8.0ms (0.1%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
55.4%2x
Compiler

Compiled 17 to 10 computations (41.2% saved)

regimes4.0ms (0%)

Accuracy

Total -1.5b remaining (-4.6%)

Threshold costs -1.5b (-4.6%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
49.0%1x
Compiler

Compiled 13 to 7 computations (46.2% saved)

bsearch42.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.06971759284432237
57523785.71449883
24.0ms
-0.02978043482233434
-2.405529446053267e-27
Results
37.0ms320×body256valid
Compiler

Compiled 476 to 381 computations (20% saved)

bsearch52.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.06971759284432237
57523785.71449883
34.0ms
-0.02978043482233434
-2.405529446053267e-27
Results
48.0ms320×body256valid
Compiler

Compiled 396 to 281 computations (29% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.06971759284432237
57523785.71449883
18.0ms
-5.102403946560534
-0.02978043482233434
Results
30.0ms256×body256valid
Compiler

Compiled 351 to 260 computations (25.9% saved)

bsearch32.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.06971759284432237
57523785.71449883
14.0ms
-5.102403946560534
-0.02978043482233434
Results
29.0ms256×body256valid
Compiler

Compiled 342 to 242 computations (29.2% saved)

bsearch39.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.06971759284432237
57523785.71449883
21.0ms
-5.102403946560534
-0.02978043482233434
Results
36.0ms256×body256valid
Compiler

Compiled 286 to 193 computations (32.5% saved)

bsearch30.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
0.06971759284432237
57523785.71449883
Results
28.0ms144×body256valid
Compiler

Compiled 95 to 64 computations (32.6% saved)

bsearch20.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.06971759284432237
57523785.71449883
Results
16.0ms144×body256valid
Compiler

Compiled 95 to 73 computations (23.2% saved)

simplify14.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
069460
187460
292460
395460
496460
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -4438747792736361/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 3602879701896397/2251799813685248) x (log.f64 (+.f64 x 1)))
x
Outputs
(if (<=.f64 x -4438747792736361/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -4438747792736361/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 3/40 (pow.f64 x 5)))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (log.f64 (/.f64 -1 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (log.f64 (/.f64 -1 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 3602879701896397/2251799813685248) x (log.f64 (+.f64 x 1)))
x
Compiler

Compiled 181 to 128 computations (29.3% saved)

soundness916.0ms (12.2%)

Rules
1590×pow1
1522×fma-def
1522×fma-def
1522×fma-def
1522×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
11617
21717
0830
115830
2199930
02142548
15482180
217102040
366102040
017101
1365101
24630101
07489456
116948746
254308698
02142548
15482180
217102040
366102040
02142548
15482180
217102040
366102040
02142548
15482180
217102040
366102040
017101
1365101
24630101
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 583 to 410 computations (29.7% saved)

end0.0ms (0%)

preprocess129.0ms (1.7%)

Compiler

Compiled 418 to 266 computations (36.4% saved)

Profiling

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