Hyperbolic arcsine

Time bar (total: 6.2s)

analyze72.0ms (1.2%)

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

Compiled 11 to 8 computations (27.3% saved)

sample2.7s (42.7%)

Results
1.3s2639×body1024valid
533.0ms1276×body2048valid
447.0ms3024×body256valid
370.0ms1269×body512valid
24.0ms48×body4096valid
Bogosity

preprocess530.0ms (8.5%)

Algorithm
egg-herbie
Rules
1544×fma-def
1032×associate-+r-
798×associate-+r+
774×associate-+l-
662×associate--r-
Problems
135×(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
59×(sqrt.f64 (+.f64 (*.f64 x x) 1))
33×(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
29×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
13896
26696
311496
419396
528796
636996
745696
854196
986096
10184096
11364696
12430296
13446296
14450696
15452196
16452196
17455296
18455296
19714496
20734596
21790596
Stop Event
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 45 to 25 computations (44.4% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
28.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize128.0ms (2.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
77.9%
(+.f64 x (hypot.f64 1 x))
51.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite113.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
924×prod-diff
614×unpow-prod-down
456×log1p-expm1-u
456×expm1-log1p-u
425×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
19642
2123842
Stop Event
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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 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 (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 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 (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 (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 1 1/3) (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 (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 x 3) (pow.f64 (hypot.f64 1 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)))))
(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))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.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))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (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 x 3) (pow.f64 (hypot.f64 1 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 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 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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))))
(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)))))
(log1p.f64 (expm1.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 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 (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 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

simplify86.0ms (1.4%)

Algorithm
egg-herbie
Rules
1956×fma-def
728×distribute-lft-in
698×distribute-rgt-in
558×sqr-pow
494×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03536627
18706249
226235541
Stop Event
node limit
Counts
143 → 219
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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 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 (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 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 (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 (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 1 1/3) (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 (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 x 3) (pow.f64 (hypot.f64 1 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)))))
(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))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.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))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (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 x 3) (pow.f64 (hypot.f64 1 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 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 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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))))
(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)))))
(log1p.f64 (expm1.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 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 (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 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 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))
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(+.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 (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))
(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))

eval96.0ms (1.5%)

Compiler

Compiled 3433 to 2650 computations (22.8% saved)

prune34.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2127219
Fresh000
Picked011
Done000
Total2128220
Accuracy
100.0%
Counts
220 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
53.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
29.0%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
24.1%
(log.f64 (/.f64 -1/2 x))
24.5%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
28.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
23.8%
(log.f64 (*.f64 x 2))
55.0%
x
28.7%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
53.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
29.0%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
24.1%
(log.f64 (/.f64 -1/2 x))
24.5%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
28.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
23.8%
(log.f64 (*.f64 x 2))
55.0%
x
Compiler

Compiled 210 to 164 computations (21.9% saved)

localize153.0ms (2.5%)

Compiler

Compiled 95 to 68 computations (28.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New000
Fresh022
Picked055
Done011
Total088
Accuracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
53.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
29.0%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
24.1%
(log.f64 (/.f64 -1/2 x))
24.5%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
28.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
23.8%
(log.f64 (*.f64 x 2))
55.0%
x
28.7%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
53.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
29.0%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
24.1%
(log.f64 (/.f64 -1/2 x))
24.5%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
28.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
23.8%
(log.f64 (*.f64 x 2))
55.0%
x
Compiler

Compiled 114 to 88 computations (22.8% saved)

localize198.0ms (3.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
77.9%
(+.f64 x (hypot.f64 1 x))
51.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
51.3%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Compiler

Compiled 36 to 26 computations (27.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite69.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1340×prod-diff
916×fma-def
776×log1p-expm1-u
776×expm1-log1p-u
602×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01264
115952
2233852
Stop Event
node limit
Counts
2 → 107
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
Outputs
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (exp.f64 -1)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.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))))
(+.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 x 3) (pow.f64 (hypot.f64 1 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 (log.f64 (exp.f64 1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (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 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (fma.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(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)))
(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)))))
(hypot.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 0)
(fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) (-.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 0)
(-.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (/.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(*.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (neg.f64 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (neg.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1) (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)))
(log.f64 (+.f64 1 (fma.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1) -1)))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1) -1))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(fma.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) -1)
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 1)
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1)
(fma.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) -1)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 1)

simplify80.0ms (1.3%)

Algorithm
egg-herbie
Rules
1570×times-frac
1218×distribute-lft-in
1150×distribute-rgt-in
920×cancel-sign-sub-inv
842×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02876206
16606034
222026005
Stop Event
node limit
Counts
131 → 206
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 -1/6 (pow.f64 x 3))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (+.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 1 (+.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 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.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 1 (+.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 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (exp.f64 -1)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.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))))
(+.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 x 3) (pow.f64 (hypot.f64 1 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 (log.f64 (exp.f64 1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (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 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (fma.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(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)))
(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)))))
(hypot.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 0)
(fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) (-.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 0)
(-.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (/.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(*.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (neg.f64 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (neg.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1) (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)))
(log.f64 (+.f64 1 (fma.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1) -1)))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1) -1))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(fma.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) -1)
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 1)
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1)
(fma.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) -1)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 1)
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))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.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 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 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.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 (+.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 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (+.f64 (log.f64 2) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 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 (+.f64 (log.f64 2) (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 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (log.f64 x) (/.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 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.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 (+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 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 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2)))) (/.f64 -5/96 (pow.f64 x 6))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 1 (+.f64 x (+.f64 (*.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 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5))) 1)
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) 1))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 1 (log.f64 2)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) 1))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) 1))
(-.f64 (+.f64 1 (+.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 (+.f64 1 (log.f64 2)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 1 (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (+.f64 (log.f64 2) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 2) 1) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 1 (+.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 1 (-.f64 (+.f64 (log.f64 2) (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 (+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (/.f64 5/96 (pow.f64 x 6)))) (+.f64 1 (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (-.f64 1 (/.f64 3/32 (pow.f64 x 4))))
(+.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.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 1 (-.f64 (+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 1 (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 1 (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (+.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 1 (-.f64 (+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (+.f64 (+.f64 (+.f64 1 (log.f64 1/2)) (/.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 1 (+.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))) 0)
(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 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (exp.f64 -1)))
(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 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(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))))
(+.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)))))
(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 (/.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))) (neg.f64 (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 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))) (neg.f64 (log.f64 (-.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 (log.f64 (exp.f64 1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 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 (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 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
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(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)))
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (fma.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1) -1)))
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(expm1.f64 (log.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (log1p.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (fma.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1) -1))
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) -1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1)
(fma.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(fma.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1 -1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) -1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) -1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))

eval190.0ms (3%)

Compiler

Compiled 8244 to 6724 computations (18.4% saved)

prune75.0ms (1.2%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New4232425
Fresh011
Picked011
Done066
Total42310433
Accuracy
100.0%
Counts
433 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.5%
(-.f64 (+.f64 x 1) 1)
24.5%
(-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1)
28.7%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
53.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
29.0%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
24.1%
(log.f64 (/.f64 -1/2 x))
24.5%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
28.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
23.8%
(log.f64 (*.f64 x 2))
55.0%
x
6.5%
(-.f64 (+.f64 x 1) 1)
24.5%
(-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1)
28.7%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
53.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
29.0%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
24.1%
(log.f64 (/.f64 -1/2 x))
24.5%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
28.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
23.8%
(log.f64 (*.f64 x 2))
55.0%
x
Compiler

Compiled 156 to 124 computations (20.5% saved)

localize111.0ms (1.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
74.6%
(-.f64 (+.f64 x 1) 1)
100.0%
(-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1)
100.0%
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
Compiler

Compiled 72 to 57 computations (20.8% saved)

series3.0ms (0%)

Counts
3 → 27
Calls

9 calls:

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

rewrite86.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1292×log1p-expm1-u
657×expm1-log1p-u
376×expm1-udef
376×log1p-udef
146×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01868
126850
2405950
Stop Event
node limit
Counts
3 → 134
Calls
Call 1
Inputs
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1)
(-.f64 (+.f64 x 1) 1)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 4) (-.f64 (*.f64 2 x) (/.f64 1/2 x))) (/.f64 (*.f64 (pow.f64 x -2) 1/4) (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(*.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(*.f64 (*.f64 (fma.f64 2 x (/.f64 1/2 x)) (exp.f64 1)) (exp.f64 -1))
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4)) (/.f64 1 (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(*.f64 (exp.f64 1) (exp.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8))))
(/.f64 1 (/.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)) (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4))))
(/.f64 (*.f64 (fma.f64 2 x (/.f64 1/2 x)) (exp.f64 1)) (exp.f64 1))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 (pow.f64 x -2) 1/4) (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 2 (*.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4)) (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4))) (neg.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 1/4) (*.f64 (pow.f64 x 2) 4)) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))
(pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (*.f64 2 x))
(fma.f64 1 (*.f64 2 x) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (*.f64 2 x))
(fma.f64 (/.f64 1 x) 1/2 (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (cbrt.f64 (*.f64 2 x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (*.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (*.f64 2 x)) (/.f64 1/2 x))
(+.f64 1 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) 1))
(+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 0)
(+.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1)
(+.f64 -1 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(+.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) -1) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1))) (-.f64 1 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)))
(pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(log.f64 (+.f64 1 (-.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 2 x (/.f64 1/2 x)) 1))
(fma.f64 1 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) -1)
(+.f64 x 0)
(+.f64 1 (+.f64 x -1))
(+.f64 (+.f64 x 1) -1)
(+.f64 -1 (+.f64 x 1))
(+.f64 0 x)
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 x 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (pow.f64 x -1/2))
(/.f64 (neg.f64 x) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (pow.f64 x 2) (-.f64 0 (*.f64 x 0))))
(/.f64 (-.f64 (pow.f64 x 2) 0) (-.f64 x 0))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)

simplify84.0ms (1.4%)

Algorithm
egg-herbie
Rules
976×fma-neg
760×cancel-sign-sub-inv
572×div-sub
500×distribute-rgt-neg-in
482×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03475067
18524779
235344683
Stop Event
node limit
Counts
161 → 204
Calls
Call 1
Inputs
(/.f64 1/2 x)
(*.f64 2 x)
(*.f64 2 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))))
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 4) (-.f64 (*.f64 2 x) (/.f64 1/2 x))) (/.f64 (*.f64 (pow.f64 x -2) 1/4) (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(*.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(*.f64 (*.f64 (fma.f64 2 x (/.f64 1/2 x)) (exp.f64 1)) (exp.f64 -1))
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4)) (/.f64 1 (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(*.f64 (exp.f64 1) (exp.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8))))
(/.f64 1 (/.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)) (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4))))
(/.f64 (*.f64 (fma.f64 2 x (/.f64 1/2 x)) (exp.f64 1)) (exp.f64 1))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 (pow.f64 x -2) 1/4) (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 2 (*.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4)) (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4))) (neg.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 1/4) (*.f64 (pow.f64 x 2) 4)) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))
(pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (*.f64 2 x))
(fma.f64 1 (*.f64 2 x) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (*.f64 2 x))
(fma.f64 (/.f64 1 x) 1/2 (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (cbrt.f64 (*.f64 2 x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (*.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (*.f64 2 x)) (/.f64 1/2 x))
(+.f64 1 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) 1))
(+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 0)
(+.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1)
(+.f64 -1 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(+.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) -1) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1))) (-.f64 1 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)))
(pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(log.f64 (+.f64 1 (-.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 2 x (/.f64 1/2 x)) 1))
(fma.f64 1 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) -1)
(+.f64 x 0)
(+.f64 1 (+.f64 x -1))
(+.f64 (+.f64 x 1) -1)
(+.f64 -1 (+.f64 x 1))
(+.f64 0 x)
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 x 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (pow.f64 x -1/2))
(/.f64 (neg.f64 x) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (pow.f64 x 2) (-.f64 0 (*.f64 x 0))))
(/.f64 (-.f64 (pow.f64 x 2) 0) (-.f64 x 0))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)
Outputs
(/.f64 1/2 x)
(*.f64 2 x)
(*.f64 x 2)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (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) (fma.f64 -1 (log.f64 x) (*.f64 4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (*.f64 4 (pow.f64 x 2)) (log.f64 x)))
(+.f64 (*.f64 4 (pow.f64 x 2)) (-.f64 (log.f64 1/2) (log.f64 x)))
(+.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) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -1 (log.f64 x) (*.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (fma.f64 -8 (pow.f64 x 4) (-.f64 (*.f64 4 (pow.f64 x 2)) (log.f64 x))))
(+.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 1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -1 (log.f64 x) (fma.f64 4 (pow.f64 x 2) (*.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (fma.f64 -8 (pow.f64 x 4) (-.f64 (fma.f64 4 (pow.f64 x 2) (*.f64 64/3 (pow.f64 x 6))) (log.f64 x))))
(+.f64 (log.f64 1/2) (fma.f64 -8 (pow.f64 x 4) (-.f64 (fma.f64 64/3 (pow.f64 x 6) (*.f64 4 (pow.f64 x 2))) (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 2))
(+.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 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 1/32 (/.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 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/192 (pow.f64 x 6))) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/192 (pow.f64 x 6)) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2)))) (+.f64 (log.f64 2) (/.f64 -1/32 (pow.f64 x 4))))
(+.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 1/32 (/.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 1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (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 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 -2) (+.f64 (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/192 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 -2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (/.f64 1/192 (pow.f64 x 6)) (log.f64 (/.f64 -1 x)))) (/.f64 -1/32 (pow.f64 x 4))))
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 4) (-.f64 (*.f64 2 x) (/.f64 1/2 x))) (/.f64 (*.f64 (pow.f64 x -2) 1/4) (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 2 x (neg.f64 (/.f64 1/2 x))))
(/.f64 (fma.f64 4 (pow.f64 x 2) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -4 (*.f64 1/4 (pow.f64 x -2))) (fma.f64 x -2 (/.f64 1/2 x)))
(*.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (*.f64 (fma.f64 2 x (/.f64 1/2 x)) (exp.f64 1)) (exp.f64 -1))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x))))))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) 1) (fma.f64 (pow.f64 x 2) 4 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 -2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x -2)) (*.f64 4 (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 1/8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x 2) (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4)) (/.f64 1 (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 2 x (neg.f64 (/.f64 1/2 x))))
(/.f64 (fma.f64 4 (pow.f64 x 2) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -4 (*.f64 1/4 (pow.f64 x -2))) (fma.f64 x -2 (/.f64 1/2 x)))
(*.f64 (exp.f64 1) (exp.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)))
(fma.f64 x 2 (/.f64 1/2 x))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8))))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) 1) (fma.f64 (pow.f64 x 2) 4 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 -2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x -2)) (*.f64 4 (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 1/8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x 2) (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1)))
(/.f64 1 (/.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)) (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 2 x (neg.f64 (/.f64 1/2 x))))
(/.f64 (fma.f64 4 (pow.f64 x 2) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -4 (*.f64 1/4 (pow.f64 x -2))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (*.f64 (fma.f64 2 x (/.f64 1/2 x)) (exp.f64 1)) (exp.f64 1))
(fma.f64 x 2 (/.f64 1/2 x))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) 1) (fma.f64 (pow.f64 x 2) 4 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 -2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x -2)) (*.f64 4 (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 1/8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x 2) (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1)))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 (pow.f64 x -2) 1/4) (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 2 (*.f64 x (/.f64 1/2 x))))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x -2) 1/4 (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 -2 (*.f64 x (/.f64 1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 1/8 (pow.f64 x 3))) (fma.f64 1/4 (pow.f64 x -2) (fma.f64 4 (pow.f64 x 2) (*.f64 -2 (*.f64 x (/.f64 1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 1/8 (pow.f64 x 3))) (fma.f64 1/4 (pow.f64 x -2) (fma.f64 4 (pow.f64 x 2) -1)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4)) (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 2 x (neg.f64 (/.f64 1/2 x))))
(/.f64 (fma.f64 4 (pow.f64 x 2) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.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 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x))))))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)) 1) (fma.f64 (pow.f64 x 2) 4 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 -2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x -2)) (*.f64 4 (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 1/8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x 2) (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x -2) 1/4))) (neg.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 2 x (neg.f64 (/.f64 1/2 x))))
(/.f64 (fma.f64 4 (pow.f64 x 2) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -4 (*.f64 1/4 (pow.f64 x -2))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 1/4) (*.f64 (pow.f64 x 2) 4)) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))
(/.f64 (-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 2 x (neg.f64 (/.f64 1/2 x))))
(/.f64 (fma.f64 4 (pow.f64 x 2) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -4 (*.f64 1/4 (pow.f64 x -2))) (fma.f64 x -2 (/.f64 1/2 x)))
(pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/3)
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(fma.f64 x 2 (/.f64 1/2 x))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(fma.f64 x 2 (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3))
(fma.f64 x 2 (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (*.f64 2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (*.f64 2 x) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (*.f64 2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (/.f64 1 x) 1/2 (*.f64 2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (*.f64 2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (cbrt.f64 (*.f64 2 x)) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (*.f64 2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (*.f64 2 x)) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 1 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(+.f64 1 (*.f64 (+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) -1) 1))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 0)
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(+.f64 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1)
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(+.f64 -1 (+.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
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x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 x 0)
x
(fma.f64 1 (+.f64 x 1) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
x
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)
x

eval70.0ms (1.1%)

Compiler

Compiled 3424 to 2784 computations (18.7% saved)

prune37.0ms (0.6%)

Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New2004204
Fresh011
Picked022
Done077
Total20014214
Accuracy
100.0%
Counts
214 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
54.7%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
54.9%
(/.f64 1 (/.f64 1 x))
6.5%
(-.f64 (+.f64 x 1) 1)
24.5%
(-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1)
28.7%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
53.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
54.8%
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
29.0%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
24.1%
(log.f64 (/.f64 -1/2 x))
24.5%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
28.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
23.8%
(log.f64 (*.f64 x 2))
55.0%
x
Compiler

Compiled 232 to 177 computations (23.7% saved)

regimes56.0ms (0.9%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(log.f64 (*.f64 x 2))
(log.f64 (/.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))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1)
(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 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 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

3 calls:

30.0ms
x
14.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
9.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
100.0%3x
89.4%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
89.4%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 135 to 99 computations (26.7% saved)

regimes36.0ms (0.6%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(log.f64 (*.f64 x 2))
(log.f64 (/.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))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

33.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
Compiler

Compiled 90 to 67 computations (25.6% saved)

regimes29.0ms (0.5%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(log.f64 (*.f64 x 2))
(log.f64 (/.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))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1)
Outputs
(log.f64 (/.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:

27.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 84 to 63 computations (25% saved)

regimes25.0ms (0.4%)

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

23.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes17.0ms (0.3%)

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

15.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 53 to 38 computations (28.3% saved)

regimes11.0ms (0.2%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
76.8%2x
Compiler

Compiled 49 to 35 computations (28.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -31.2b remaining (-108.1%)

Threshold costs -31.2b (-108.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
55.0%1x
Compiler

Compiled 45 to 32 computations (28.9% saved)

bsearch45.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.3755079083990998e-19
0.14081554474650654
24.0ms
-781.4452958338998
-1.006794471121737e-5
Results
40.0ms304×body256valid
Compiler

Compiled 346 to 266 computations (23.1% saved)

bsearch40.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
1.3755079083990998e-19
0.14081554474650654
17.0ms
-781.4452958338998
-1.006794471121737e-5
Results
36.0ms304×body256valid
Compiler

Compiled 319 to 248 computations (22.3% saved)

bsearch29.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.14081554474650654
1.4562086910488021
17.0ms
-781.4452958338998
-1.006794471121737e-5
Results
26.0ms240×body256valid
Compiler

Compiled 275 to 220 computations (20% saved)

bsearch39.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.14081554474650654
1.4562086910488021
28.0ms
-781.4452958338998
-1.006794471121737e-5
Results
36.0ms240×body256valid
Compiler

Compiled 239 to 190 computations (20.5% saved)

bsearch30.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.14081554474650654
1.4562086910488021
18.0ms
-781.4452958338998
-1.006794471121737e-5
Results
27.0ms240×body256valid
Compiler

Compiled 149 to 115 computations (22.8% saved)

bsearch14.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.14081554474650654
1.4562086910488021
Results
12.0ms96×body256valid
Compiler

Compiled 68 to 52 computations (23.5% saved)

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
054450
167450
272450
375450
476450
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -4150517416584649/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4150517416584649/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4150517416584649/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.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 5854679515581645/4503599627370496) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5854679515581645/4503599627370496) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -4150517416584649/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4150517416584649/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4150517416584649/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.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 5854679515581645/4503599627370496) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5854679515581645/4503599627370496) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 139 to 102 computations (26.6% saved)

soundness838.0ms (13.5%)

Rules
1956×fma-def
1956×fma-def
1544×fma-def
1032×associate-+r-
924×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019140
13896
26696
311496
419396
528796
636996
745696
854196
986096
10184096
11364696
12430296
13446296
14450696
15452196
16452196
17455296
18455296
19714496
20734596
21790596
01042
19642
2123842
03536627
18706249
226235541
03536627
18706249
226235541
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 512 to 365 computations (28.7% saved)

end0.0ms (0%)

preprocess111.0ms (1.8%)

Compiler

Compiled 336 to 240 computations (28.6% saved)

Profiling

Loading profile data...