Hyperbolic arcsine

Time bar (total: 4.8s)

analyze69.0ms (1.4%)

Algorithm
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)

sample2.9s (59.5%)

Results
1.2s2558×body1024valid
824.0ms1234×body2048valid
529.0ms3102×body256valid
346.0ms1324×body512valid
19.0ms38×body4096valid
Bogosity

preprocess253.0ms (5.2%)

Algorithm
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
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 (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
11617
21717
Stop Event
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
26.8%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
26.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize112.0ms (2.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
78.3%
(+.f64 x (hypot.f64 1 x))
49.1%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0.1%)

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))

rewrite71.0ms (1.5%)

Algorithm
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
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))

simplify80.0ms (1.6%)

Algorithm
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
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))

eval45.0ms (0.9%)

Compiler

Compiled 1915 to 1409 computations (26.4% saved)

prune33.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1297136
Fresh000
Picked011
Done000
Total1298137
Accurracy
100.0%
Counts
137 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
55.5%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
23.6%
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
23.7%
(log.f64 (/.f64 -1/2 x))
26.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
22.1%
(log.f64 (+.f64 x x))
26.6%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
57.1%
x
55.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
55.5%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
23.6%
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
23.7%
(log.f64 (/.f64 -1/2 x))
26.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
22.1%
(log.f64 (+.f64 x x))
26.6%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
57.1%
x
Compiler

Compiled 218 to 168 computations (22.9% saved)

localize162.0ms (3.3%)

Compiler

Compiled 97 to 69 computations (28.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New000
Fresh022
Picked055
Done011
Total088
Accurracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
55.5%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
23.6%
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
23.7%
(log.f64 (/.f64 -1/2 x))
26.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
22.1%
(log.f64 (+.f64 x x))
26.6%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
57.1%
x
55.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
55.5%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
23.6%
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
23.7%
(log.f64 (/.f64 -1/2 x))
26.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
22.1%
(log.f64 (+.f64 x x))
26.6%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
57.1%
x
Compiler

Compiled 118 to 90 computations (23.7% saved)

localize304.0ms (6.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
78.3%
(+.f64 x (hypot.f64 1 x))
60.8%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
49.1%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 36 to 26 computations (27.8% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
2.0ms
x
@inf
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
0.0ms
x
@0
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
0.0ms
x
@-inf
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
0.0ms
x
@inf
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))

rewrite62.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1912×pow1
1782×add-exp-log
1780×log1p-expm1-u
1780×expm1-log1p-u
204×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
122440
2249240
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
Outputs
(+.f64 0 (log.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 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.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)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.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)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1)
(*.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))

simplify73.0ms (1.5%)

Algorithm
egg-herbie
Rules
956×+-commutative
858×distribute-lft-in
834×distribute-rgt-in
810×unswap-sqr
732×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02623800
17213254
224913078
Stop Event
node limit
Counts
70 → 128
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)))))
(pow.f64 x 3)
(+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))
(+.f64 (*.f64 37/120 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3)))
(+.f64 (*.f64 37/120 (pow.f64 x 7)) (+.f64 (*.f64 -3229/15120 (pow.f64 x 9)) (+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 3)
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 3)))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -3/16 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 3) (*.f64 -3/32 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 4))))))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 -3/64 (/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 x 6))) (+.f64 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -3/16 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 3) (+.f64 (*.f64 5/96 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 1/16 (*.f64 -3/16 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 6))) (+.f64 (*.f64 -3/32 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (-.f64 (*.f64 5/48 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 3/64)) (pow.f64 x 6)) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 x 4))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))))))))))))
(pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3)
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3)))
(+.f64 (*.f64 1/8 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 4))) (+.f64 (*.f64 3/32 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 1/16 (*.f64 3/16 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3))))))
(+.f64 (*.f64 1/8 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 4))) (+.f64 (*.f64 3/32 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (*.f64 -5/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 3/64)) (pow.f64 x 6)) (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 1/16 (*.f64 3/16 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 1/16 (*.f64 3/16 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 6))) (+.f64 (*.f64 -5/96 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2) (pow.f64 x 6))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -3/64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 6))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3))))))))))
(+.f64 0 (log.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 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.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)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.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)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1)
(*.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
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)))
(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)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 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 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.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 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (/.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 (log.f64 2) (log.f64 x)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (/.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 1/2) (-.f64 (log.f64 (/.f64 -1 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 (+.f64 (log.f64 (/.f64 -1 x)) (+.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 (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 (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)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(pow.f64 x 3)
(+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))
(fma.f64 -1/2 (pow.f64 x 5) (pow.f64 x 3))
(fma.f64 (pow.f64 x 5) -1/2 (pow.f64 x 3))
(+.f64 (*.f64 37/120 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3)))
(fma.f64 37/120 (pow.f64 x 7) (fma.f64 -1/2 (pow.f64 x 5) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 7) 37/120 (fma.f64 (pow.f64 x 5) -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 37/120 (pow.f64 x 7)) (+.f64 (*.f64 -3229/15120 (pow.f64 x 9)) (+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))))
(fma.f64 37/120 (pow.f64 x 7) (fma.f64 -3229/15120 (pow.f64 x 9) (fma.f64 -1/2 (pow.f64 x 5) (pow.f64 x 3))))
(fma.f64 (pow.f64 x 7) 37/120 (fma.f64 -3229/15120 (pow.f64 x 9) (fma.f64 (pow.f64 x 5) -1/2 (pow.f64 x 3))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 3)
(pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 3)
(pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 3)
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 3)))
(fma.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (*.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (*.f64 x x)) (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 3)))
(+.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 3) (*.f64 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (*.f64 x x)) 3/4))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -3/16 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 3) (*.f64 -3/32 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 4))))))))
(fma.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (*.f64 x x)) (+.f64 (/.f64 (+.f64 1/16 (*.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) -3/16)) (/.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (*.f64 x x)) (fma.f64 1/8 (/.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 3) (*.f64 -3/32 (/.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (pow.f64 x 4))))))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (*.f64 x x)) (fma.f64 1/8 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4)) (fma.f64 -3/32 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (pow.f64 x 4)) (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 3)))) (fma.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (*.f64 x x)) (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (pow.f64 x 4) (fma.f64 (+.f64 (log.f64 2) (log.f64 x)) -3/16 1/16)))))
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4)) (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 3)) (*.f64 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (*.f64 x x)) (+.f64 1/2 (/.f64 (/.f64 -3/32 x) x)))) (fma.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4)) (fma.f64 (+.f64 (log.f64 2) (log.f64 x)) -3/16 1/16))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 -3/64 (/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 x 6))) (+.f64 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -3/16 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 3) (+.f64 (*.f64 5/96 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 1/16 (*.f64 -3/16 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 6))) (+.f64 (*.f64 -3/32 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (-.f64 (*.f64 5/48 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 3/64)) (pow.f64 x 6)) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 x 4))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2))))))))))))
(fma.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (*.f64 x x)) (fma.f64 -3/64 (/.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 6)) (+.f64 (/.f64 (+.f64 1/16 (*.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) -3/16)) (/.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 3) (fma.f64 5/96 (/.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (pow.f64 x 6)) (fma.f64 1/4 (/.f64 (+.f64 1/16 (*.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) -3/16)) (pow.f64 x 6)) (fma.f64 -3/32 (/.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (fma.f64 5/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) -3/64)) (pow.f64 x 6)) (fma.f64 1/8 (/.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (*.f64 x x))))))))))))
(fma.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 3) (fma.f64 5/96 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (pow.f64 x 6)) (fma.f64 1/4 (/.f64 (fma.f64 (+.f64 (log.f64 2) (log.f64 x)) -3/16 1/16) (pow.f64 x 6)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (*.f64 x x)) (*.f64 1/8 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4)))) (fma.f64 -3/32 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (pow.f64 x 4)) (*.f64 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 6)) (fma.f64 (+.f64 (log.f64 2) (log.f64 x)) 5/48 -3/64))))))) (fma.f64 -3/64 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 6)) (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (pow.f64 x 4) (fma.f64 (+.f64 (log.f64 2) (log.f64 x)) -3/16 1/16))))))
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(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 6))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(log.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)

eval152.0ms (3.1%)

Compiler

Compiled 5995 to 4689 computations (21.8% saved)

prune52.0ms (1.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New2640264
Fresh011
Picked011
Done066
Total2648272
Accurracy
100.0%
Counts
272 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
55.5%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
23.6%
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
23.7%
(log.f64 (/.f64 -1/2 x))
26.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
22.1%
(log.f64 (+.f64 x x))
26.6%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
57.1%
x
55.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
55.5%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
23.6%
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
23.7%
(log.f64 (/.f64 -1/2 x))
26.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
22.1%
(log.f64 (+.f64 x x))
26.6%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
57.1%
x
Compiler

Compiled 118 to 90 computations (23.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done077
Total088
Accurracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
55.5%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
23.6%
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
23.7%
(log.f64 (/.f64 -1/2 x))
26.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
22.1%
(log.f64 (+.f64 x x))
26.6%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
57.1%
x
Compiler

Compiled 120 to 89 computations (25.8% saved)

regimes39.0ms (0.8%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (+.f64 x x))
Calls

3 calls:

16.0ms
x
15.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
6.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
99.7%3x
86.5%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
86.5%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 82 to 58 computations (29.3% saved)

regimes17.0ms (0.3%)

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

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes12.0ms (0.3%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
77.5%2x
Compiler

Compiled 8 to 4 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
57.1%1x
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch58.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
0.00037536131118712636
22894870424745304.0
29.0ms
-6249341954514055.0
-0.5243083838257555
Results
53.0ms336×body256valid
Compiler

Compiled 455 to 356 computations (21.8% saved)

bsearch49.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
0.00037536131118712636
22894870424745304.0
25.0ms
-6249341954514055.0
-0.5243083838257555
Results
45.0ms336×body256valid
Compiler

Compiled 329 to 251 computations (23.7% saved)

bsearch41.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
0.00037536131118712636
22894870424745304.0
20.0ms
-6249341954514055.0
-0.5243083838257555
Results
37.0ms336×body256valid
Compiler

Compiled 203 to 146 computations (28.1% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
0.00037536131118712636
22894870424745304.0
Results
19.0ms176×body256valid
Compiler

Compiled 113 to 76 computations (32.7% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037199
142199
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5944751508129055/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x)))
x
Outputs
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5944751508129055/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5944751508129055/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x)))
x
Compiler

Compiled 84 to 58 computations (31% saved)

soundness120.0ms (2.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
11617
21717
02142548
15482180
217102040
366102040
Stop Event
node limit
saturated
Compiler

Compiled 34 to 22 computations (35.3% saved)

end0.0ms (0%)

preprocess97.0ms (2%)

Compiler

Compiled 230 to 144 computations (37.4% saved)

Profiling

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