sqrt times

Time bar (total: 2.6s)

analyze2.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%50%0%0%50%0%2
50%25%25%0%0%50%0%3
66.7%25%12.5%0%0%62.5%0%4
80%25%6.2%0%0%68.7%0%5
88.9%25%3.1%0%0%71.8%0%6
94.1%25%1.6%0%0%73.4%0%7
97%25%0.8%0%0%74.2%0%8
98.5%25%0.4%0%0%74.6%0%9
99.2%25%0.2%0%0%74.8%0%10
99.6%25%0.1%0%0%74.9%0%11
99.8%25%0%0%0%74.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
Operation ival-sqrt, time spent: 1.0ms, 103.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.0s (39.4%)

Results
911.0ms8255×256valid
1.0ms16×256invalid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 376.0ms
Operation ival-sqrt, time spent: 215.0ms, 57.0% of total-time
Operation ival-mult, time spent: 85.0ms, 23.0% of total-time
Operation ival-sub, time spent: 62.0ms, 17.0% of total-time
Operation const, time spent: 14.0ms, 4.0% of total-time
Bogosity

preprocess206.0ms (7.9%)

Algorithm
egg-herbie
Rules
84×fma-define
38×sub-neg
22×+-commutative
12×*-commutative
12×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
00-0-(sqrt.f64 (-.f64 x 1))
00-0-(-.f64 x 1)
00-0-1
00-0-(sqrt.f64 x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
136124
255120
377120
4103120
5135120
6156120
7172120
8197120
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 (-.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x))))
Outputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 x) -1)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 -1 x -1)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 (-.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 x) -1)) (neg.f64 (sqrt.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 -1 x -1))))
(*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 -1 x))))
Compiler

Compiled 48 to 32 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
Operation ival-sqrt, time spent: 27.0ms, 61.0% of total-time
Operation ival-sub, time spent: 12.0ms, 27.0% of total-time
Operation ival-mult, time spent: 4.0ms, 9.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize46.0ms (1.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.2%
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 20 to 13 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
Operation ival-sqrt, time spent: 10.0ms, 58.0% of total-time
Operation ival-sub, time spent: 5.0ms, 29.0% of total-time
Operation ival-mult, time spent: 2.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

series4.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@-inf
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@inf
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite273.0ms (10.4%)

Algorithm
batch-egg-rewrite
Rules
1048×unpow-prod-down
586×prod-exp
496×log-prod
471×log1p-expm1-u
471×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
112523
2142323
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2))

simplify66.0ms (2.5%)

Algorithm
egg-herbie
Rules
920×associate-*r*
884×associate-*l*
838×distribute-lft-in
830×distribute-lft-neg-out
766×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01511363
13681311
211121297
340511197
Stop Event
node limit
Counts
34 → 65
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))))))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))))))))
x
(*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 x))))
(*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) x))))
(*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 x))))
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) x)) (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x))) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) x)) (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2))
Outputs
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 -1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1/2 (sqrt.f64 -1))))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 -1/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 -1/8 (*.f64 (sqrt.f64 x) (/.f64 -1 (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 (sqrt.f64 x) (/.f64 1/8 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (sqrt.f64 x) (/.f64 1/8 (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x))) (*.f64 (pow.f64 x 2) (fma.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (fma.f64 -1/8 (*.f64 (/.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 5))))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1))))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 2)))))))
x
(*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/2 x)))
(*.f64 x (+.f64 1 (/.f64 -1/2 x)))
(+.f64 x -1/2)
(*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) x))))
(*.f64 x (+.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 x)) x))))
(*.f64 x (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/8 x)) x)))
(fma.f64 x (/.f64 (+.f64 -1/2 (/.f64 -1/8 x)) x) x)
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 x))))
(*.f64 x (+.f64 1 (-.f64 (neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (pow.f64 x 2))) (/.f64 1/2 x))))
(*.f64 x (+.f64 (-.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (pow.f64 x 2))) (/.f64 -1/2 x)))
(*.f64 x (+.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (pow.f64 x 2))))
(+.f64 x (+.f64 -1/2 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
x
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 x (-.f64 1 (/.f64 1/2 x)))
(*.f64 x (+.f64 1 (/.f64 -1/2 x)))
(+.f64 x -1/2)
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) x)) (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 x (+.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 x)) x))))
(*.f64 x (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/8 x)) x)))
(fma.f64 x (/.f64 (+.f64 -1/2 (/.f64 -1/8 x)) x) x)
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x))) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) x)) (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 x (+.f64 1 (-.f64 (neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (pow.f64 x 2))) (/.f64 1/2 x))))
(*.f64 x (+.f64 (-.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (pow.f64 x 2))) (/.f64 -1/2 x)))
(*.f64 x (+.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (pow.f64 x 2))))
(+.f64 x (+.f64 -1/2 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x -1))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 x 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 x 1)))))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 x 1)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x 1)) 3/2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (-.f64 x 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 x 1))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 x 1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 x 1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 x 1))))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x 1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 x 1)) 1/6) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)) 1/3))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x 1)) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))

eval35.0ms (1.3%)

Compiler

Compiled 1057 to 850 computations (19.6% saved)

prune11.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New60565
Fresh000
Picked101
Done000
Total61566
Accuracy
100.0%
Counts
66 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(+.f64 x (+.f64 -1/2 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
99.3%
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
99.1%
(+.f64 x -1/2)
50.5%
(sqrt.f64 (*.f64 x (-.f64 x 1)))
98.3%
x
Compiler

Compiled 66 to 48 computations (27.3% saved)

localize240.0ms (9.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
50.5%
(sqrt.f64 (*.f64 x (-.f64 x 1)))
100.0%
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
Compiler

Compiled 81 to 57 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
Operation ival-div, time spent: 22.0ms, 42.0% of total-time
Operation ival-add, time spent: 16.0ms, 30.0% of total-time
Operation ival-sub, time spent: 4.0ms, 8.0% of total-time
Operation ival-mult, time spent: 4.0ms, 8.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 8.0% of total-time
Operation const, time spent: 4.0ms, 8.0% of total-time

series6.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
1.0ms
x
@0
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
1.0ms
x
@inf
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
1.0ms
x
@-inf
(sqrt.f64 (*.f64 x (-.f64 x 1)))
1.0ms
x
@0
(sqrt.f64 (*.f64 x (-.f64 x 1)))

rewrite100.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
934×log1p-expm1-u
934×expm1-log1p-u
904×log-prod
418×fma-define
360×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01548
119148
2258046
Stop Event
node limit
Counts
2 → 68
Calls
Call 1
Inputs
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(sqrt.f64 (*.f64 x (-.f64 x 1)))
Outputs
(+.f64 0 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))) 1)
(*.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (/.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (*.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) (sqrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(*.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(*.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (*.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (/.f64 1 x)))
(*.f64 (+.f64 (neg.f64 (/.f64 -1/16 x)) 1/8) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 -1/8 (/.f64 -1/16 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 1) (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 2)
(pow.f64 (/.f64 x (+.f64 -1/8 (/.f64 -1/16 x))) -1)
(neg.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 -1/16 x)) 1/8) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1/8 (/.f64 -1/16 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 1))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x 2) x)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))))
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4) 2)
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 2) x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))

simplify96.0ms (3.7%)

Algorithm
egg-herbie
Rules
1126×fma-neg
1026×fma-define
874×times-frac
522×distribute-lft-in
518×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02353030
15052966
215042827
355462788
Stop Event
node limit
Counts
92 → 122
Calls
Call 1
Inputs
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 -1/8 x) 1/16) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 -1/8 x) 1/16) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 -1/8 x) 1/16) (pow.f64 x 2))
(/.f64 -1/8 x)
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(/.f64 -1/8 x)
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))))))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))))))))
x
(*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 x))))
(*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) x))))
(*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 x))))
(*.f64 -1 x)
(*.f64 -1 (*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) x)))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 2)) (*.f64 1/8 (/.f64 1 x)))) x)))))
(+.f64 0 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))) 1)
(*.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (/.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (*.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) (sqrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(*.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(*.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (*.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (/.f64 1 x)))
(*.f64 (+.f64 (neg.f64 (/.f64 -1/16 x)) 1/8) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 -1/8 (/.f64 -1/16 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 1) (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 2)
(pow.f64 (/.f64 x (+.f64 -1/8 (/.f64 -1/16 x))) -1)
(neg.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 -1/16 x)) 1/8) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1/8 (/.f64 -1/16 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 1))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x 2) x)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))))
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4) 2)
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 2) x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
Outputs
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 -1/8 x) 1/16) (pow.f64 x 2))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(/.f64 (-.f64 (*.f64 -1/8 x) 1/16) (pow.f64 x 2))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(/.f64 (-.f64 (*.f64 -1/8 x) 1/16) (pow.f64 x 2))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(/.f64 -1/8 x)
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(/.f64 -1/8 x)
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1/2 (sqrt.f64 -1)) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 -1/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 (pow.f64 x 2) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 -1/8 (*.f64 (sqrt.f64 x) (/.f64 -1 (sqrt.f64 -1))))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(fma.f64 (pow.f64 x 2) (fma.f64 (sqrt.f64 x) (/.f64 1/8 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x))) (*.f64 (pow.f64 x 2) (fma.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 -1/8 (*.f64 (/.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(fma.f64 (pow.f64 x 2) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 -1)) (*.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 5)))) (pow.f64 x 4) (*.f64 (sqrt.f64 x) (sqrt.f64 -1))))
x
(*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 x))))
(*.f64 x (-.f64 1 (/.f64 1/2 x)))
(*.f64 x (+.f64 1 (/.f64 -1/2 x)))
(*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) x))))
(*.f64 x (+.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 x)) x))))
(*.f64 x (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/8 x)) x)))
(+.f64 x (*.f64 (+.f64 -1/2 (/.f64 -1/8 x)) 1))
(+.f64 x (-.f64 -1/2 (/.f64 1/8 x)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 x))) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 x))))
(*.f64 x (+.f64 1 (-.f64 (neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (pow.f64 x 2))) (/.f64 1/2 x))))
(*.f64 x (+.f64 (-.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (pow.f64 x 2))) (/.f64 -1/2 x)))
(*.f64 x (+.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (pow.f64 x 2))))
(+.f64 x (+.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) -1/2))
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 (*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 x)))))
(*.f64 (neg.f64 x) (-.f64 1 (/.f64 1/2 x)))
(*.f64 (+.f64 1 (/.f64 -1/2 x)) (neg.f64 x))
(*.f64 x (+.f64 -1 (/.f64 1/2 x)))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) x)))))
(*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 x)) x))))
(*.f64 x (neg.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/8 x)) x))))
(-.f64 (neg.f64 x) (*.f64 (+.f64 -1/2 (/.f64 -1/8 x)) 1))
(-.f64 (neg.f64 x) (-.f64 -1/2 (/.f64 1/8 x)))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 2)) (*.f64 1/8 (/.f64 1 x)))) x)))))
(*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))) x))))
(*.f64 (-.f64 1 (/.f64 (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))) x)) (neg.f64 x))
(-.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) -1/2) 1))
(-.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) -1/2))
(+.f64 0 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))) 1)
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (/.f64 1 x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 1)
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 1 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 2))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (/.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (*.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (/.f64 1 x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) (sqrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (*.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (/.f64 1 x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (+.f64 (neg.f64 (/.f64 -1/16 x)) 1/8) (/.f64 1 (neg.f64 x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (/.f64 1 x) (+.f64 -1/8 (/.f64 -1/16 x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (cbrt.f64 x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (sqrt.f64 x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (sqrt.f64 x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) 1) (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 -1/8 (/.f64 -1/16 x))) (cbrt.f64 x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 1)
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 3)
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 3) 1/3)
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 2)
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(pow.f64 (/.f64 x (+.f64 -1/8 (/.f64 -1/16 x))) -1)
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(neg.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) (neg.f64 x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 -1/16 x)) 1/8) x))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 2))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(log.f64 (exp.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x) 3))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1/8 (/.f64 -1/16 x)) 3) (pow.f64 x 3)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(exp.f64 (log.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)) 1))
(/.f64 (fma.f64 -1/8 x -1/16) (pow.f64 x 2))
(/.f64 (fma.f64 x -1/8 -1/16) (pow.f64 x 2))
(/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x 2) x)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x 2) x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))))
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/2)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 3)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/2))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4) 2)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 2) x)) 1/2))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))

eval38.0ms (1.4%)

Compiler

Compiled 1844 to 1343 computations (27.2% saved)

prune24.0ms (0.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1220122
Fresh000
Picked055
Done000
Total1225127
Accuracy
100.0%
Counts
127 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(+.f64 x (+.f64 -1/2 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
99.3%
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
99.1%
(+.f64 x -1/2)
50.5%
(sqrt.f64 (*.f64 x (-.f64 x 1)))
98.3%
x
Compiler

Compiled 69 to 49 computations (29% saved)

regimes11.0ms (0.4%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(+.f64 x -1/2)
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(+.f64 x (+.f64 -1/2 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
(+.f64 x (+.f64 -1/2 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
Calls

2 calls:

6.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.2%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01779
12379
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 x (+.f64 -1/2 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(+.f64 x -1/2)
x
Outputs
(+.f64 x (+.f64 -1/2 (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x)))
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(+.f64 x -1/2)
x
Compiler

Compiled 26 to 19 computations (26.9% saved)

soundness380.0ms (14.5%)

Rules
920×associate-*r*
920×associate-*r*
920×associate-*r*
884×associate-*l*
884×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01511363
13681311
211121297
340511197
01511363
13681311
211121297
340511197
01511363
13681311
211121297
340511197
Stop Event
node limit
node limit
node limit
Compiler

Compiled 208 to 160 computations (23.1% saved)

end0.0ms (0%)

preprocess37.0ms (1.4%)

Compiler

Compiled 62 to 44 computations (29% saved)

Profiling

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