Hyperbolic arcsine

Time bar (total: 10.5s)

analyze150.0ms (1.4%)

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

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
Operation ival-mult, time spent: 31.0ms, 41.0% of total-time
Operation ival-log, time spent: 17.0ms, 23.0% of total-time
Operation ival-sqrt, time spent: 14.0ms, 19.0% of total-time
Operation ival-add, time spent: 11.0ms, 15.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

sample3.3s (31.4%)

Results
595.0ms3130×256valid
1.4s2535×1024valid
404.0ms1326×512valid
658.0ms1218×2048valid
31.0ms46×4096valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
Operation ival-log, time spent: 1.3s, 62.0% of total-time
Operation ival-sqrt, time spent: 294.0ms, 14.0% of total-time
Operation ival-add, time spent: 276.0ms, 13.0% of total-time
Operation ival-mult, time spent: 188.0ms, 9.0% of total-time
Operation const, time spent: 31.0ms, 1.0% of total-time
Bogosity

preprocess610.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
1032×associate-+r-
1020×fma-neg
982×fma-define
810×associate-+r+
768×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
710-0-(sqrt.f64 (+.f64 (*.f64 x x) 1))
680-0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
00-0-x
00-0-(+.f64 (*.f64 x x) 1)
00-0-(*.f64 x x)
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
14196
26996
311796
419696
529096
637296
746096
854396
986496
10184596
11365496
12430996
13446896
14451296
15452796
16452796
17455896
18455896
19715296
20735396
21791996
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(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))))
(neg.f64 (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 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))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x 1)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 80 to 43 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
Operation ival-log, time spent: 67.0ms, 36.0% of total-time
Operation ival-add, time spent: 53.0ms, 29.0% of total-time
Operation ival-sqrt, time spent: 43.0ms, 23.0% of total-time
Operation ival-mult, time spent: 13.0ms, 7.0% of total-time
Operation const, time spent: 8.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶29.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize174.0ms (1.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓75.2%
(+.f64 x (hypot.f64 1 x))
✓54.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
Operation composed, time spent: 70.0ms, 40.0% of total-time
Operation ival-log, time spent: 36.0ms, 20.0% of total-time
Operation ival-mult, time spent: 29.0ms, 17.0% of total-time
Operation ival-sqrt, time spent: 22.0ms, 13.0% of total-time
Operation ival-add, time spent: 18.0ms, 10.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

series7.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))
2.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@-inf
(+.f64 x (hypot.f64 1 x))
1.0ms
x
@inf
(+.f64 x (hypot.f64 1 x))

rewrite264.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
924×prod-diff
748×unpow-prod-down
455×log1p-expm1-u
455×expm1-log1p-u
430×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
19942
2124542
Stop Event
1×node limit
Counts
2 → 119
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 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 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.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 (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 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (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 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (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))) 2) 1/2)
(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)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(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)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(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)) 2) 1/2)
(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 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.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)))) 1))
(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 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.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))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 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))

simplify118.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1746×fma-define
698×distribute-lft-in
668×distribute-rgt-in
564×sqr-pow
488×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03536563
18916179
226755403
Stop Event
1×node limit
Counts
143 → 224
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.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 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (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 (log.f64 1/2) (+.f64 (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)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.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 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.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 5/128 (/.f64 1 (pow.f64 x 7))) (*.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 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 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 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.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 (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 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (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 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (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))) 2) 1/2)
(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)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(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)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(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)) 2) 1/2)
(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 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.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)))) 1))
(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 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.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))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 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 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -5/112 (pow.f64 x 7)))))
(+.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 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.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 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (+.f64 (log.f64 x) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (log.f64 2) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 -1/4 (pow.f64 x 2)) (log.f64 1/2)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 -1/4 (pow.f64 x 2)) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (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 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 -1/4 (pow.f64 x 2)))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 1/2) (/.f64 -5/96 (pow.f64 x 6))) (/.f64 -1/4 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 x (+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.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 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 1/16 (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 1/16 (/.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 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.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 5/128 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/2 x))
(+.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 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(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)))))
(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 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (neg.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(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)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 8)))
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(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval100.0ms (1%)

Compiler

Compiled 3549 to 2740 computations (22.8% saved)

prune39.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2159224
Fresh000
Picked011
Done000
Total21510225
Accuracy
100.0%
Counts
225 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
49.7%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
▶49.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶29.3%
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶31.7%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
26.8%
(log.f64 (/.f64 -1/2 x))
25.7%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓29.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶24.7%
(log.f64 (*.f64 x 2))
▶51.4%
x
Compiler

Compiled 173 to 135 computations (22% saved)

localize536.0ms (5.1%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x (hypot.f64 1 x))
✓99.8%
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓99.8%
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
✓75.6%
(log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
✓77.5%
(-.f64 (hypot.f64 1 x) x)
✓75.6%
(log.f64 (-.f64 (hypot.f64 1 x) x))
✓100.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓99.9%
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 86 to 59 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 532.0ms
Operation composed, time spent: 174.0ms, 33.0% of total-time
Operation ival-log, time spent: 106.0ms, 20.0% of total-time
Operation ival-sqrt, time spent: 77.0ms, 14.0% of total-time
Operation ival-mult, time spent: 74.0ms, 14.0% of total-time
Operation ival-add, time spent: 41.0ms, 8.0% of total-time
Operation ival-pow, time spent: 28.0ms, 5.0% of total-time
Operation ival-cbrt, time spent: 12.0ms, 2.0% of total-time
Operation ival-sub, time spent: 11.0ms, 2.0% of total-time
Operation const, time spent: 7.0ms, 1.0% of total-time
Operation ival-neg, time spent: 2.0ms, 0.0% of total-time

series31.0ms (0.3%)

Counts
7 → 39
Calls

21 calls:

TimeVariablePointExpression
14.0ms
x
@-inf
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
2.0ms
x
@0
(log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@0
(log.f64 (-.f64 (hypot.f64 1 x) x))
1.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))
1.0ms
x
@-inf
(log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))

rewrite160.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1308×fma-define
799×log1p-expm1-u
799×expm1-log1p-u
582×fma-neg
416×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019166
1257152
23448152
Stop Event
1×node limit
Counts
7 → 250
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(-.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 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(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 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 1/36) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.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 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (pow.f64 x 2)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36))) (neg.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (neg.f64 (pow.f64 x 2))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(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))))
(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 -1/6) (pow.f64 x 3))))
(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 -1/6) (pow.f64 x 3)) (+.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)))
(log1p.f64 (expm1.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))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (*.f64 (pow.f64 x 2) -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 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 x 2) (*.f64 x -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 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 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) (pow.f64 x 2) x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 2)) x x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(+.f64 0 (log.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 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.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))
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(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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))
(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)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(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))

simplify167.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1040×times-frac
884×fma-neg
680×log-prod
556×fma-define
474×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060010949
1144210560
2456510383
Stop Event
1×node limit
Counts
289 → 396
Calls
Call 1
Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (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 (log.f64 1/2) (+.f64 (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 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.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))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.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 1/3 x)
(+.f64 (*.f64 -1/18 (pow.f64 x 3)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 1/3 x)))
(+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 -5/336 (pow.f64 x 7)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 1/3 x))))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x)))
(+.f64 1 (+.f64 (*.f64 -4/81 (pow.f64 x 3)) (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(-.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 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(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 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 1/36) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.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 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (pow.f64 x 2)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36))) (neg.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (neg.f64 (pow.f64 x 2))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(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))))
(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 -1/6) (pow.f64 x 3))))
(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 -1/6) (pow.f64 x 3)) (+.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)))
(log1p.f64 (expm1.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))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (*.f64 (pow.f64 x 2) -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 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 x 2) (*.f64 x -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 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 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) (pow.f64 x 2) x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 2)) x x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(+.f64 0 (log.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 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.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))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(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))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.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 (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 1 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(fma.f64 1 (neg.f64 x) (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 (neg.f64 x))
(fma.f64 (hypot.f64 1 x) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (neg.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 -1 x (hypot.f64 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(fma.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(fma.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)) (+.f64 (neg.f64 x) x))
(+.f64 0 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1/3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.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 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))
(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)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(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))
Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1 x (*.f64 (pow.f64 x 3) 1/6))
(fma.f64 (pow.f64 x 3) 1/6 (neg.f64 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/6)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 (*.f64 -3/40 (pow.f64 x 5))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))))
(-.f64 (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 1/6 (*.f64 5/112 (pow.f64 x 7)))) x)
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (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 (+.f64 (log.f64 1/2) (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(-.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.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 2) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
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1
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(*.f64 x -2)
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(-.f64 (*.f64 x -2) (/.f64 1/2 x))
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(fma.f64 (pow.f64 x 3) -1/18 (fma.f64 x 1/3 (*.f64 (pow.f64 x 5) 1/40)))
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(fma.f64 (pow.f64 x 3) -1/18 (fma.f64 (pow.f64 x 7) -5/336 (fma.f64 x 1/3 (*.f64 (pow.f64 x 5) 1/40))))
1
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x
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(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/3)
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6) 2)
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(cbrt.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(log.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (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)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(log.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval395.0ms (3.8%)

Compiler

Compiled 8447 to 6419 computations (24% saved)

prune112.0ms (1.1%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New5154519
Fresh044
Picked055
Done011
Total51514529
Accuracy
100.0%
Counts
529 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.0%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
49.7%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓49.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶49.4%
(*.f64 3 (+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 1/3 x))))
▶51.1%
(*.f64 3 (*.f64 x 1/3))
30.9%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
✓29.3%
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓31.7%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
27.6%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
▶26.8%
(log.f64 (/.f64 -1/2 x))
▶25.7%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓29.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓24.7%
(log.f64 (*.f64 x 2))
✓51.4%
x
Compiler

Compiled 232 to 186 computations (19.8% saved)

localize486.0ms (4.7%)

Compiler

Compiled 200 to 156 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 329.0ms
Operation ival-pow, time spent: 211.0ms, 64.0% of total-time
Operation ival-mult, time spent: 65.0ms, 20.0% of total-time
Operation ival-div, time spent: 18.0ms, 5.0% of total-time
Operation ival-add, time spent: 16.0ms, 5.0% of total-time
Operation const, time spent: 10.0ms, 3.0% of total-time
Operation ival-log, time spent: 9.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.1%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New000
Fresh033
Picked055
Done066
Total01414
Accuracy
100.0%
Counts
14 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.0%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
▶49.7%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓49.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓49.4%
(*.f64 3 (+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 1/3 x))))
✓51.1%
(*.f64 3 (*.f64 x 1/3))
▶30.9%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
✓29.3%
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓31.7%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶27.6%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓26.8%
(log.f64 (/.f64 -1/2 x))
✓25.7%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓29.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓24.7%
(log.f64 (*.f64 x 2))
✓51.4%
x
Compiler

Compiled 136 to 108 computations (20.6% saved)

localize554.0ms (5.3%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓100.0%
(*.f64 3/40 (pow.f64 x 5))
99.5%
(*.f64 -1/6 (pow.f64 x 3))
✓83.6%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
✓100.0%
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
✓99.8%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
✓99.7%
(cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓79.2%
(log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
✓100.0%
(log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
✓100.0%
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
Compiler

Compiled 127 to 96 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 462.0ms
Operation ival-pow, time spent: 90.0ms, 19.0% of total-time
Operation ival-div, time spent: 89.0ms, 19.0% of total-time
Operation composed, time spent: 80.0ms, 17.0% of total-time
Operation ival-mult, time spent: 64.0ms, 14.0% of total-time
Operation ival-log, time spent: 55.0ms, 12.0% of total-time
Operation ival-sqrt, time spent: 25.0ms, 5.0% of total-time
Operation ival-add, time spent: 25.0ms, 5.0% of total-time
Operation ival-sub, time spent: 17.0ms, 4.0% of total-time
Operation const, time spent: 8.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 8.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series37.0ms (0.3%)

Counts
9 → 57
Calls

27 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
4.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
3.0ms
x
@0
(log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
3.0ms
x
@inf
(log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
1.0ms
x
@0
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))

rewrite232.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1262×log1p-expm1-u
296×associate-*r*
188×expm1-log1p-u
186×associate-*l*
184×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030271
1420253
25882253
Stop Event
1×node limit
Counts
9 → 257
Calls
Call 1
Inputs
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
(log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
Outputs
(+.f64 (*.f64 x -2) (/.f64 -1/2 x))
(+.f64 (*.f64 x -2) (*.f64 (/.f64 -1/2 x) 1))
(+.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(+.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(+.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))
(+.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (*.f64 x -2))
(*.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1)
(*.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (-.f64 (pow.f64 (*.f64 x -2) 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (fma.f64 x -2 (/.f64 1/2 x))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (pow.f64 (*.f64 x -2) 3) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (*.f64 (pow.f64 x 2) 4) (/.f64 1/4 (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x -2) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (/.f64 1/4 (pow.f64 x 2))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x -2) 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (/.f64 1/4 (pow.f64 x 2)))) (neg.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x -2) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (*.f64 (pow.f64 x 2) 4) (-.f64 (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (*.f64 (*.f64 x -2) (/.f64 -1/2 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 x))) (-.f64 (*.f64 x -2) (/.f64 -1/2 x)))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
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(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (+.f64 (*.f64 (pow.f64 x 10) 9/1600) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))) (neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600))) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (/.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2)) (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (/.f64 1 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))))
(/.f64 1 (/.f64 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (pow.f64 x 2) (*.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))) (neg.f64 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 3) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (+.f64 (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (pow.f64 x 2)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (pow.f64 x 10) 9/1600)) (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 3/40 (pow.f64 x 5))))
(pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 3)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2))
(log.f64 (exp.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1))
(fma.f64 1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))

simplify268.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1348×fma-neg
1120×log-prod
714×associate-*r*
694×fma-define
628×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072014528
1181313881
2667413875
Stop Event
1×node limit
Counts
314 → 450
Calls
Call 1
Inputs
(/.f64 -1/2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) x)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3) (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) x)) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2))))
(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) x)) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) x)) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))))
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(log1p.f64 (-.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1)
(*.f64 -1 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) -1)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 2) 1) (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1/6))
(*.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 -1 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (+.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1)
(pow.f64 (*.f64 (-.f64 x (hypot.f64 1 x)) -1) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(neg.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5)))))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600)) (/.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (+.f64 (*.f64 (pow.f64 x 10) 9/1600) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))) (neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600))) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (/.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2)) (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (/.f64 1 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))))
(/.f64 1 (/.f64 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (pow.f64 x 2) (*.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))) (neg.f64 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 3) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (+.f64 (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (pow.f64 x 2)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (pow.f64 x 10) 9/1600)) (-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 3/40 (pow.f64 x 5))))
(pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 3)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2))
(log.f64 (exp.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1))
(fma.f64 1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
Outputs
(/.f64 -1/2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
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1
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(*.f64 x 2)
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x
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(exp.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(fma.f64 1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40))) x)
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)) 2)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))

eval443.0ms (4.2%)

Compiler

Compiled 9535 to 7967 computations (16.4% saved)

prune134.0ms (1.3%)

Pruning

14 alts after pruning (0 fresh and 14 done)

PrunedKeptTotal
New4630463
Fresh000
Picked033
Done01111
Total46314477
Accuracy
100.0%
Counts
477 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.0%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
✓49.7%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓49.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓49.4%
(*.f64 3 (+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 1/3 x))))
✓51.1%
(*.f64 3 (*.f64 x 1/3))
✓30.9%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
✓29.3%
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓31.7%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓27.6%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓26.8%
(log.f64 (/.f64 -1/2 x))
✓25.7%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓29.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓24.7%
(log.f64 (*.f64 x 2))
✓51.4%
x
Compiler

Compiled 268 to 209 computations (22% saved)

regimes74.0ms (0.7%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(*.f64 3 (*.f64 x 1/3))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3 (+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 1/3 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

60.0ms
x
7.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
100.0%3x
87.1%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
87.1%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes70.0ms (0.7%)

Counts
14 → 3
Calls
Call 1
Inputs
x
(*.f64 3 (*.f64 x 1/3))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3 (+.f64 (*.f64 -1/18 (pow.f64 x 3)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (*.f64 1/3 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

69.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 3 (*.f64 x 1/3))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(*.f64 3 (*.f64 x 1/3))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

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

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes44.0ms (0.4%)

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

1 calls:

43.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 3 (*.f64 x 1/3))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
Outputs
(log.f64 (/.f64 -1/2 x))
x
(log.f64 (*.f64 x 2))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
74.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.2b remaining (-0.6%)

Threshold costs -0.2b (-0.6%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
51.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch79.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
57.0ms
0.006703998248299518
1.895180961966516
22.0ms
-33.13599264598534
-4.656073415402089e-6
Results
74.0ms223×256valid
0.0ms1×256valid
Compiler

Compiled 429 to 341 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
Operation ival-log, time spent: 50.0ms, 87.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 5.0% of total-time
Operation ival-add, time spent: 2.0ms, 3.0% of total-time
Operation ival-mult, time spent: 2.0ms, 3.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch64.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
32.0ms
0.006703998248299518
1.895180961966516
31.0ms
-33.13599264598534
-4.656073415402089e-6
Results
53.0ms271×256valid
0.0ms1×256valid
Compiler

Compiled 414 to 325 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-log, time spent: 9.0ms, 39.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 26.0% of total-time
Operation ival-add, time spent: 5.0ms, 21.0% of total-time
Operation ival-mult, time spent: 3.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch55.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
2.1993375952012953e-18
0.006703998248299518
31.0ms
-33.13599264598534
-4.656073415402089e-6
Results
49.0ms303×256valid
0.0ms1×256valid
Compiler

Compiled 346 to 266 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
Operation ival-sqrt, time spent: 13.0ms, 49.0% of total-time
Operation ival-log, time spent: 7.0ms, 27.0% of total-time
Operation ival-add, time spent: 3.0ms, 11.0% of total-time
Operation ival-mult, time spent: 3.0ms, 11.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch67.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
2.1993375952012953e-18
0.006703998248299518
43.0ms
-33.13599264598534
-4.656073415402089e-6
Results
39.0ms303×256valid
0.0ms1×256valid
Compiler

Compiled 364 to 284 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
Operation ival-log, time spent: 7.0ms, 41.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 23.0% of total-time
Operation ival-add, time spent: 3.0ms, 18.0% of total-time
Operation ival-mult, time spent: 3.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch80.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.006703998248299518
1.895180961966516
60.0ms
-33.13599264598534
-4.656073415402089e-6
Results
74.0ms271×256valid
0.0ms1×256valid
Compiler

Compiled 362 to 290 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
Operation ival-sqrt, time spent: 42.0ms, 79.0% of total-time
Operation ival-log, time spent: 6.0ms, 11.0% of total-time
Operation ival-add, time spent: 3.0ms, 6.0% of total-time
Operation ival-mult, time spent: 2.0ms, 4.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch69.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.006703998248299518
1.895180961966516
50.0ms
-33.13599264598534
-4.656073415402089e-6
Results
63.0ms271×256valid
0.0ms1×256valid
Compiler

Compiled 314 to 250 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-log, time spent: 6.0ms, 40.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 26.0% of total-time
Operation ival-add, time spent: 3.0ms, 20.0% of total-time
Operation ival-mult, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch57.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
0.006703998248299518
1.895180961966516
22.0ms
-33.13599264598534
-4.656073415402089e-6
Results
51.0ms271×256valid
0.0ms1×256valid
Compiler

Compiled 269 to 214 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-log, time spent: 6.0ms, 40.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 27.0% of total-time
Operation ival-add, time spent: 3.0ms, 20.0% of total-time
Operation ival-mult, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch44.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.006703998248299518
1.895180961966516
22.0ms
-33.13599264598534
-4.656073415402089e-6
Results
39.0ms271×256valid
0.0ms1×256valid
Compiler

Compiled 167 to 129 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-log, time spent: 6.0ms, 39.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 26.0% of total-time
Operation ival-add, time spent: 3.0ms, 19.0% of total-time
Operation ival-mult, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.006703998248299518
1.895180961966516
Results
16.0ms127×256valid
0.0ms1×256valid
Compiler

Compiled 86 to 66 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-log, time spent: 3.0ms, 43.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 29.0% of total-time
Operation ival-add, time spent: 1.0ms, 14.0% of total-time
Operation ival-mult, time spent: 1.0ms, 14.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify21.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
30×+-commutative
22×*-commutative
14×sub-neg
10×neg-sub0
10×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086845
1114845
2127845
3135845
4139845
5140845
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -3314649325744685/144115188075855872) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5764607523034235/288230376151711744) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/144115188075855872) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4726978168888073/576460752303423488) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1152921504606847/1152921504606846976) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(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 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -3314649325744685/144115188075855872) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5764607523034235/288230376151711744) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/144115188075855872) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4726978168888073/576460752303423488) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1152921504606847/1152921504606846976) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(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 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 254 to 189 computations (25.6% saved)

soundness1.1s (10.6%)

Rules
1746×fma-define
1746×fma-define
1040×times-frac
1032×associate-+r-
1020×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019140
14196
26996
311796
419696
529096
637296
746096
854396
986496
10184596
11365496
12430996
13446896
14451296
15452796
16452796
17455896
18455896
19715296
20735396
21791996
01042
19942
2124542
03536563
18916179
226755403
03536563
18916179
226755403
060010949
1144210560
2456510383
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 555 to 400 computations (27.9% saved)

end0.0ms (0%)

preprocess215.0ms (2.1%)

Compiler

Compiled 560 to 408 computations (27.1% saved)

Profiling

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