Hyperbolic arc-cosine

Time bar (total: 3.6s)

analyze73.0ms (2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
33.3%25%50%0%0%25%0%4
40%25%37.5%0%0%37.5%0%5
44.4%25%31.2%0%0%43.7%0%6
47.1%25%28.1%0%0%46.9%0%7
48.5%25%26.5%0%0%48.4%0%8
49.2%25%25.8%0%0%49.2%0%9
49.6%25%25.4%0%0%49.6%0%10
49.8%25%25.2%0%0%49.8%0%11
49.9%25%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.3s (63.6%)

Results
888.0ms4201×body2048invalid
840.0ms8256×body256valid
342.0ms2134×body1024invalid
117.0ms1048×body512invalid
73.0ms1062×body256invalid
2.0ms8×body4096invalid
Bogosity

preprocess250.0ms (7%)

Algorithm
1×egg-herbie
Rules
1460×fma-def
1306×distribute-lft-out
1242×distribute-rgt-out--
1038×unsub-neg
938×sub-neg
Problems
139×(sqrt.f64 (-.f64 (*.f64 x x) 1))
117×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018100
14296
27596
317096
440296
591696
6169296
7321596
8426396
9491096
10520196
11550996
12565796
13573096
14594196
15670896
16688996
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
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 (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(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 (sqrt.f64 (fma.f64 x x -1)) x))
Compiler

Compiled 45 to 25 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶47.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶47.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize40.0ms (1.1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓49.5%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms
x
@inf
(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms
x
@-inf
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite95.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
670×unpow-prod-down
396×log1p-expm1-u
396×expm1-log1p-u
390×log-prod
382×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110619
2123119
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 6) -1) (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 4) -1) (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))

simplify61.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
800×associate-*r*
716×associate-*l*
706×fma-def
480×distribute-lft-out
466×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01922268
14252250
210742218
347572218
Stop Event
1×node limit
Counts
63 → 104
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 6) -1) (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 4) -1) (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 6)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/2 x))
(+.f64 x (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 x (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5))))
(+.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x)))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (fma.f64 x x -1))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 3/8))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 3/8))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/12) (pow.f64 (fma.f64 x x -1) 5/12))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 6) -1) (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 4) -1) (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 4)))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(sqrt.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))

eval37.0ms (1%)

Compiler

Compiled 1688 to 1280 computations (24.2% saved)

prune21.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh000
Picked011
Done000
Total1023105
Accuracy
100.0%
Counts
105 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓47.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶99.4%
(log.f64 (+.f64 x x))
▶99.8%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓47.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶99.4%
(log.f64 (+.f64 x x))
Compiler

Compiled 48 to 32 computations (33.3% saved)

localize47.0ms (1.3%)

Localize:

Found 2 expressions with local error:

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

Compiled 35 to 19 computations (45.7% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite74.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
910×fma-def
771×log1p-expm1-u
771×expm1-log1p-u
646×log-prod
494×pow-prod-down
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01160
113254
2207946
Stop Event
1×node limit
Counts
2 → 129
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
Outputs
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (log.f64 (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (pow.f64 x 2))) (log.f64 (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 1/4 (pow.f64 x -2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(-.f64 x (-.f64 (/.f64 1/2 x) x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))) (/.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 2 (sinh.f64 (log.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (*.f64 1/8 (pow.f64 x -3))) (+.f64 (pow.f64 (*.f64 x 2) 2) (fma.f64 1/4 (pow.f64 x -2) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (pow.f64 x 2)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(pow.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (/.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (/.f64 -1/2 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (/.f64 1 (exp.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (/.f64 -1/2 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 x 2)) (/.f64 1 (exp.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x 2)) (exp.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (/.f64 1/2 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (/.f64 (exp.f64 (*.f64 x 2)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(fma.f64 x 1 (+.f64 x (/.f64 -1/2 x)))
(fma.f64 x 1 (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (+.f64 x (/.f64 -1/2 x)) 1 x)
(fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))
(fma.f64 1 x (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)
(fma.f64 1 (*.f64 x 2) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (pow.f64 x 2))) x)
(fma.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 2)) (cbrt.f64 (*.f64 x 2))) (cbrt.f64 (*.f64 x 2)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) x)

simplify370.0ms (10.3%)

Algorithm
1×egg-herbie
Rules
1906×fma-def
1076×unswap-sqr
1020×distribute-lft-in
982×distribute-rgt-in
502×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03486108
18195333
224785278
Stop Event
1×node limit
Counts
153 → 212
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 -1/2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (log.f64 (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (pow.f64 x 2))) (log.f64 (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 1/4 (pow.f64 x -2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(-.f64 x (-.f64 (/.f64 1/2 x) x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))) (/.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 2 (sinh.f64 (log.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (*.f64 1/8 (pow.f64 x -3))) (+.f64 (pow.f64 (*.f64 x 2) 2) (fma.f64 1/4 (pow.f64 x -2) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (pow.f64 x 2)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(pow.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (/.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (/.f64 -1/2 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (/.f64 1 (exp.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (/.f64 -1/2 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 x 2)) (/.f64 1 (exp.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x 2)) (exp.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (/.f64 1/2 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (/.f64 (exp.f64 (*.f64 x 2)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(fma.f64 x 1 (+.f64 x (/.f64 -1/2 x)))
(fma.f64 x 1 (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (+.f64 x (/.f64 -1/2 x)) 1 x)
(fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))
(fma.f64 1 x (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)
(fma.f64 1 (*.f64 x 2) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (pow.f64 x 2))) x)
(fma.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 2)) (cbrt.f64 (*.f64 x 2))) (cbrt.f64 (*.f64 x 2)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) x)
Outputs
(+.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))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (pow.f64 x 2) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 -4 (pow.f64 x 2)) (log.f64 x)))
(fma.f64 -4 (pow.f64 x 2) (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (pow.f64 x 2) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2))) (log.f64 x)))
(fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (pow.f64 x 2) (log.f64 (/.f64 -1/2 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (pow.f64 x 2) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -64/3 (pow.f64 x 6) (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2))) (log.f64 x))))
(fma.f64 -64/3 (pow.f64 x 6) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (pow.f64 x 2) (log.f64 (/.f64 -1/2 x)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 x 2))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (*.f64 x 2)) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 x 2)) (+.f64 (/.f64 -1/4 (pow.f64 x 2)) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6))))
(-.f64 (log.f64 (*.f64 x 2)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 (*.f64 x 2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4)))))
(-.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2)))
(+.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 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (+.f64 (+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/192 (pow.f64 x 6))) (/.f64 -1/32 (pow.f64 x 4))) (/.f64 -1/4 (pow.f64 x 2)))
(/.f64 -1/2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (/.f64 1/2 x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
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(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (fma.f64 x (/.f64 1/2 x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 0 (/.f64 1/2 x)))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x)) (/.f64 1/2 x))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (fma.f64 x (/.f64 1/2 x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 0 (/.f64 1/2 x)))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x)) (/.f64 1/2 x))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (*.f64 1/8 (pow.f64 x -3))) (+.f64 (pow.f64 (*.f64 x 2) 2) (fma.f64 1/4 (pow.f64 x -2) 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 -1/8 (pow.f64 x -3))) (+.f64 (pow.f64 (*.f64 x 2) 2) (fma.f64 1/4 (pow.f64 x -2) 1)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) -1/8)) (+.f64 (pow.f64 (*.f64 x 2) 2) (fma.f64 1/4 (pow.f64 x -2) 1)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) -1/8)) (fma.f64 (pow.f64 x 2) 4 (fma.f64 1/4 (pow.f64 x -2) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (pow.f64 x 2)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 0 (/.f64 1/2 x)))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x)) (/.f64 1/2 x))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 -1/4 (pow.f64 x -2))) (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -1/4 (pow.f64 (*.f64 x 2) 2)) (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) 1/2)
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3) 1/3)
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) -1)
(/.f64 1 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (fma.f64 x (/.f64 1/2 x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)))
(pow.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) -1)
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 0 (/.f64 1/2 x)))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x)) (/.f64 1/2 x))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (/.f64 -1/2 x)))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (*.f64 (exp.f64 (+.f64 x (/.f64 -1/2 x))) (+.f64 1 (expm1.f64 x))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))) (exp.f64 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))) (+.f64 1 (expm1.f64 x))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (/.f64 1 (exp.f64 (/.f64 1/2 x)))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (/.f64 -1/2 x))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (*.f64 (exp.f64 (*.f64 x 2)) (/.f64 1 (exp.f64 (/.f64 1/2 x)))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (*.f64 (exp.f64 (*.f64 x 2)) (exp.f64 (/.f64 -1/2 x))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (/.f64 1/2 x))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (/.f64 (exp.f64 (*.f64 x 2)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1/3))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 x 1 (+.f64 x (/.f64 -1/2 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 x 1 (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 (+.f64 x (/.f64 -1/2 x)) 1 x)
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 1 x (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 1 (*.f64 x 2) (/.f64 -1/2 x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x (/.f64 -1/2 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) x)
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (-.f64 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (pow.f64 x 2))) x)
(fma.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (pow.f64 x 2))) x)
(fma.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (pow.f64 x 2))) x)
(+.f64 x (/.f64 (fma.f64 (pow.f64 x -3) -1/8 (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (pow.f64 x 2))))
(fma.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (+.f64 (pow.f64 x 2) (*.f64 -1/4 (pow.f64 x -2))) (/.f64 1 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (fma.f64 x x (*.f64 (pow.f64 x -2) -1/4)) (/.f64 1 (+.f64 x (/.f64 1/2 x))) x)
(+.f64 x (/.f64 (fma.f64 (pow.f64 x -2) -1/4 (pow.f64 x 2)) (+.f64 x (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 -1/2 x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 2)) (cbrt.f64 (*.f64 x 2))) (cbrt.f64 (*.f64 x 2)) (/.f64 -1/2 x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (/.f64 -1/2 x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) x)

eval74.0ms (2.1%)

Compiler

Compiled 3502 to 2650 computations (24.3% saved)

prune25.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2120212
Fresh000
Picked022
Done011
Total2123215
Accuracy
100.0%
Counts
215 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓47.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓99.4%
(log.f64 (+.f64 x x))
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes11.0ms (0.3%)

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

3 calls:

3.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.8%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
11649
22349
32749
43049
53149
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness94.0ms (2.6%)

Rules
800×associate-*r*
716×associate-*l*
706×fma-def
480×distribute-lft-out
466×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01922268
14252250
210742218
347572218
Stop Event
1×node limit
Compiler

Compiled 29 to 20 computations (31% saved)

end0.0ms (0%)

preprocess26.0ms (0.7%)

Compiler

Compiled 46 to 30 computations (34.8% saved)

Profiling

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