sqrt times

Time bar (total: 2.6s)

analyze2.0ms (0.1%)

Algorithm
1×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-mult, time spent: 0.0ms, 0.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (43.3%)

Results
977.0ms8255×256valid
1.0ms9×256invalid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 414.0ms
Operation ival-sqrt, time spent: 239.0ms, 58.0% of total-time
Operation ival-mult, time spent: 96.0ms, 23.0% of total-time
Operation ival-sub, time spent: 65.0ms, 16.0% of total-time
Operation const, time spent: 14.0ms, 3.0% of total-time
Bogosity

preprocess144.0ms (5.6%)

Algorithm
1×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
1×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: 42.0ms
Operation ival-sqrt, time spent: 23.0ms, 55.0% of total-time
Operation ival-sub, time spent: 14.0ms, 34.0% of total-time
Operation ival-mult, time spent: 4.0ms, 10.0% 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)

localize150.0ms (5.8%)

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: 124.0ms
Operation ival-sub, time spent: 84.0ms, 68.0% of total-time
Operation ival-sqrt, time spent: 37.0ms, 30.0% of total-time
Operation ival-mult, time spent: 2.0ms, 2.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series3.0ms (0.1%)

Counts
1 → 8
Calls

3 calls:

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

rewrite193.0ms (7.5%)

Algorithm
1×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
1×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))

simplify81.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1416×log-prod
1074×fma-define
950×associate-*r*
874×associate-*l*
652×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
095854
1238814
2628814
31742806
47434806
Stop Event
1×node limit
Counts
30 → 47
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (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
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 -1/2 (+.f64 x (/.f64 -1/8 x)))
(-.f64 -1/2 (-.f64 (/.f64 1/8 x) x))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (-.f64 (/.f64 -1/8 x) (+.f64 1/2 (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
x
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 x -1/2)
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 -1/2 (+.f64 x (/.f64 -1/8 x)))
(-.f64 -1/2 (-.f64 (/.f64 1/8 x) x))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (-.f64 (/.f64 -1/8 x) (+.f64 1/2 (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x -1))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(+.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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x))))) 3)
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))) 3)
(+.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 (pow.f64 x 2) x))))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(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 (pow.f64 x 2) x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x)))))
(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 (pow.f64 x 2) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)) 1/3))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(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 (pow.f64 x 2) x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))

eval13.0ms (0.5%)

Compiler

Compiled 543 to 434 computations (20.1% saved)

prune9.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New42547
Fresh000
Picked011
Done000
Total42648
Accuracy
100.0%
Counts
48 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.0%
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
▶98.5%
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
▶97.9%
(-.f64 x 1/2)
✓99.2%
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶54.4%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
▶96.5%
x
Compiler

Compiled 70 to 52 computations (25.7% saved)

localize339.0ms (13.2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.2%
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓52.8%
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
✓54.4%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
Compiler

Compiled 70 to 48 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 265.0ms
Operation ival-pow, time spent: 226.0ms, 85.0% of total-time
Operation ival-add, time spent: 13.0ms, 5.0% of total-time
Operation ival-mult, time spent: 9.0ms, 3.0% of total-time
Operation ival-div, time spent: 7.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 2.0% of total-time
Operation const, time spent: 4.0ms, 2.0% of total-time
Operation ival-sub, time spent: 3.0ms, 1.0% of total-time

series9.0ms (0.3%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
1.0ms
x
@0
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
1.0ms
x
@-inf
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
1.0ms
x
@inf
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
1.0ms
x
@inf
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)

rewrite102.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
624×prod-exp
608×log-prod
565×log1p-expm1-u
565×expm1-log1p-u
482×pow-prod-down
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471
114171
2168067
Stop Event
1×node limit
Counts
3 → 131
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
Outputs
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (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 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12) 6)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 2/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) 4)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 4) 1/8)
(pow.f64 (exp.f64 2) (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) 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 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(+.f64 0 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))) 1)
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 1)
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 x 1/4))
(*.f64 1 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(fabs.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(exp.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12)) 3))
(exp.f64 (*.f64 (*.f64 3/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/8))
(exp.f64 (*.f64 (*.f64 1/8 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/4))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) 2))
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 x)) (*.f64 (log.f64 (+.f64 x -1)) 1/4)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/4) (*.f64 1/4 (log.f64 (+.f64 x -1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/4) (*.f64 (log.f64 (+.f64 x -1)) 1/4)))
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 (+.f64 x -1))) (*.f64 (log.f64 x) 1/4)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1/4) (*.f64 1/4 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1/4) (*.f64 (log.f64 x) 1/4)))
(exp.f64 (+.f64 (*.f64 1/8 (log.f64 (*.f64 x (+.f64 x -1)))) (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) (*.f64 1/8 (log.f64 (*.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8)))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (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 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) 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 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))

simplify125.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
1996×fma-define
774×exp-prod
586×log-prod
556×exp-sum
554×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03095083
17244720
218804500
360154372
Stop Event
1×node limit
Counts
163 → 191
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (*.f64 -1/4 (*.f64 x (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (*.f64 -1/4 (*.f64 x (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (*.f64 -3/32 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))))))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (*.f64 -1/4 (*.f64 x (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (*.f64 -7/128 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (+.f64 (*.f64 -3/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (+.f64 (*.f64 -3/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1))) (+.f64 (*.f64 -7/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)
(+.f64 (*.f64 -1/2 (*.f64 x (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))
(+.f64 (*.f64 -1/2 (*.f64 x (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -3/16 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (*.f64 1/16 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))
(+.f64 (*.f64 -1/2 (*.f64 x (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -3/16 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (*.f64 1/16 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -7/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (*.f64 3/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))))
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (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 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12) 6)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 2/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) 4)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 4) 1/8)
(pow.f64 (exp.f64 2) (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) 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 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(+.f64 0 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))) 1)
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 1)
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 x 1/4))
(*.f64 1 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(fabs.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(exp.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12)) 3))
(exp.f64 (*.f64 (*.f64 3/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/8))
(exp.f64 (*.f64 (*.f64 1/8 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/4))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) 2))
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 x)) (*.f64 (log.f64 (+.f64 x -1)) 1/4)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/4) (*.f64 1/4 (log.f64 (+.f64 x -1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/4) (*.f64 (log.f64 (+.f64 x -1)) 1/4)))
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 (+.f64 x -1))) (*.f64 (log.f64 x) 1/4)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1/4) (*.f64 1/4 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1/4) (*.f64 (log.f64 x) 1/4)))
(exp.f64 (+.f64 (*.f64 1/8 (log.f64 (*.f64 x (+.f64 x -1)))) (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) (*.f64 1/8 (log.f64 (*.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8)))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (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 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) 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 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
Outputs
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (-.f64 -1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (-.f64 -1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (neg.f64 x))
(-.f64 1/2 x)
(+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1 x (/.f64 1/8 x)))
(+.f64 1/2 (-.f64 (/.f64 1/8 x) x))
(-.f64 1/2 (+.f64 x (/.f64 -1/8 x)))
(+.f64 1/2 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1 x (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 (+.f64 1/2 (-.f64 (/.f64 1/8 x) x)) (/.f64 1/16 (pow.f64 x 2)))
(+.f64 (+.f64 1/2 (/.f64 1/8 x)) (-.f64 (/.f64 1/16 (pow.f64 x 2)) x))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4))
(pow.f64 (neg.f64 x) 1/4)
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (*.f64 -1/4 (*.f64 x (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (*.f64 -1/4 (*.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))))))
(*.f64 (+.f64 (*.f64 x -1/4) 1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))))
(*.f64 (*.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)) (fma.f64 x -1/4 1))
(*.f64 (pow.f64 (neg.f64 x) 1/4) (fma.f64 x -1/4 1))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (*.f64 -1/4 (*.f64 x (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (*.f64 -3/32 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (fma.f64 -1/4 (*.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (*.f64 -3/32 (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (*.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (+.f64 (*.f64 x -1/4) (*.f64 (pow.f64 x 2) -3/32))))
(*.f64 (*.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)) (+.f64 (fma.f64 x -1/4 1) (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 (pow.f64 (neg.f64 x) 1/4) (+.f64 (fma.f64 x -1/4 1) (*.f64 (pow.f64 x 2) -3/32)))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (*.f64 -1/4 (*.f64 x (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (*.f64 -7/128 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (fma.f64 -1/4 (*.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (fma.f64 -3/32 (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (*.f64 -7/128 (*.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (pow.f64 x 3))))))
(+.f64 (*.f64 (+.f64 (*.f64 x -1/4) 1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (*.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (+.f64 (*.f64 (pow.f64 x 2) -3/32) (*.f64 -7/128 (pow.f64 x 3)))))
(fma.f64 (pow.f64 -1 1/4) (pow.f64 x 1/4) (*.f64 (*.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)) (+.f64 (*.f64 x -1/4) (*.f64 (pow.f64 x 2) (+.f64 -3/32 (*.f64 x -7/128))))))
(fma.f64 (pow.f64 (neg.f64 x) 1/4) (*.f64 (pow.f64 x 2) (+.f64 -3/32 (*.f64 x -7/128))) (*.f64 (pow.f64 (neg.f64 x) 1/4) (fma.f64 x -1/4 1)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 x) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 x) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
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(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))) 1)
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 1)
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (log.f64 (exp.f64 1)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(*.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x -1) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(*.f64 1 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(fabs.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/2))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12)) 3))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (*.f64 3/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/8))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (*.f64 1/8 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) 1))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1/2))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1/2))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) 2))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 x)) (*.f64 (log.f64 (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/4) (*.f64 1/4 (log.f64 (+.f64 x -1)))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/4) (*.f64 (log.f64 (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 (+.f64 x -1))) (*.f64 (log.f64 x) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1/4) (*.f64 1/4 (log.f64 x))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1/4) (*.f64 (log.f64 x) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (*.f64 1/8 (log.f64 (*.f64 x (+.f64 x -1)))) (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) (*.f64 1/8 (log.f64 (*.f64 x (+.f64 x -1))))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(*.f64 3 (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)))))))
(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 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(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 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(*.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x -1) (+.f64 x -1))) 1/4) (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (+.f64 x -1) 2)) 1/4) (pow.f64 x 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 x -1))) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (*.f64 (pow.f64 x 2) (+.f64 x -1)) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/12))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(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)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(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)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) 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 x (+.f64 x -1))) 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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) 2))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (+.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (+.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (+.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1) (*.f64 (*.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))

eval71.0ms (2.8%)

Compiler

Compiled 2998 to 2267 computations (24.4% saved)

prune27.0ms (1.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1910191
Fresh000
Picked055
Done011
Total1916197
Accuracy
100.0%
Counts
197 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.0%
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓98.5%
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
✓97.9%
(-.f64 x 1/2)
✓99.2%
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓54.4%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
✓96.5%
x
Compiler

Compiled 73 to 53 computations (27.4% 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)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
Outputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Calls

2 calls:

6.0ms
x
5.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
Outputs
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
97.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (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:

4.0ms
x
Results
AccuracySegmentsBranch
96.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
36×unsub-neg
28×neg-mul-1
22×*-commutative
22×+-commutative
18×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01766
13066
24366
36066
48166
511766
613266
713566
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(-.f64 x 1/2)
x
Outputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(-.f64 x 1/2)
x
Compiler

Compiled 22 to 16 computations (27.3% saved)

soundness123.0ms (4.8%)

Rules
1416×log-prod
1074×fma-define
950×associate-*r*
874×associate-*l*
652×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
095854
1238814
2628814
31742806
47434806
Stop Event
1×node limit
Compiler

Compiled 194 to 156 computations (19.6% saved)

end0.0ms (0%)

preprocess33.0ms (1.3%)

Compiler

Compiled 54 to 38 computations (29.6% saved)

Profiling

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