sqrt times

Time bar (total: 1.8s)

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)

sample767.0ms (42.9%)

Results
753.0ms8256×body256valid
0.0ms5×body256invalid
Bogosity

preprocess54.0ms (3%)

Algorithm
1×egg-herbie
Rules
88×fma-def
36×sub-neg
22×+-commutative
12×*-commutative
12×associate-+l-
Problems
256×No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133124
252120
372120
498120
5130120
6151120
7167120
8192120
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 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune109.0ms (6.1%)

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

Compiled 16 to 12 computations (25% saved)

localize33.0ms (1.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (-.f64 x 1))
✓99.2%
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 20 to 13 computations (35% saved)

series3.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

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

rewrite131.0ms (7.3%)

Algorithm
1×batch-egg-rewrite
Rules
822×unpow-prod-down
586×prod-exp
496×log-prod
472×log1p-expm1-u
472×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
112237
2140937
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(sqrt.f64 (-.f64 x 1))
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 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 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)))))
(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 (*.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 0 (sqrt.f64 (+.f64 x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x -1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) 1)
(*.f64 (sqrt.f64 (+.f64 x -1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (+.f64 x -1) 1/6))
(*.f64 (pow.f64 (+.f64 x -1) 1/6) (cbrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (pow.f64 (+.f64 x -1) 5/6) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/4)) (pow.f64 (pow.f64 (+.f64 x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1)) (pow.f64 (/.f64 1 (+.f64 (fma.f64 x x 1) x)) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 x -1) 1/4)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) 1) 1/2) (pow.f64 (-.f64 (sqrt.f64 x) 1) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 x -1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 1/6)) 2) 3) (pow.f64 (+.f64 x -1) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -1) 1/4)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x 1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1)) (hypot.f64 x (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 x -1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x -1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 x -1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x -1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x -1) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1)))))
(fabs.f64 (sqrt.f64 (+.f64 x -1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))
(cbrt.f64 (pow.f64 (+.f64 x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x -1))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 x -1))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x -1))))

simplify66.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
950×fma-neg
838×log-prod
782×exp-prod
682×fma-def
662×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02312173
15492090
213862058
345052048
Stop Event
1×node limit
Counts
79 → 113
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)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
(+.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 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 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)))))
(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 (*.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 0 (sqrt.f64 (+.f64 x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x -1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) 1)
(*.f64 (sqrt.f64 (+.f64 x -1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (+.f64 x -1) 1/6))
(*.f64 (pow.f64 (+.f64 x -1) 1/6) (cbrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (pow.f64 (+.f64 x -1) 5/6) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/4)) (pow.f64 (pow.f64 (+.f64 x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1)) (pow.f64 (/.f64 1 (+.f64 (fma.f64 x x 1) x)) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 x -1) 1/4)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) 1) 1/2) (pow.f64 (-.f64 (sqrt.f64 x) 1) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 x -1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 1/6)) 2) 3) (pow.f64 (+.f64 x -1) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -1) 1/4)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x 1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1)) (hypot.f64 x (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 x -1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x -1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 x -1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x -1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x -1) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1)))))
(fabs.f64 (sqrt.f64 (+.f64 x -1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))
(cbrt.f64 (pow.f64 (+.f64 x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x -1))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 x -1))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x -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 -1/2 (+.f64 x (/.f64 -1/8 x)))
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 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 x (+.f64 (+.f64 -1/2 (/.f64 -1/8 x)) (/.f64 -1/16 (pow.f64 x 2))))
(+.f64 -1/2 (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) x))
(*.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 x (-.f64 -1/2 (/.f64 1/8 x)))
(+.f64 -1/2 (+.f64 x (/.f64 -1/8 x)))
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 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 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 x (+.f64 (+.f64 -1/2 (/.f64 -1/8 x)) (/.f64 -1/16 (pow.f64 x 2))))
(+.f64 -1/2 (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) x))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 0 (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 3 (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 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 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)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(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)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(expm1.f64 (log1p.f64 (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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)) 1/3))
(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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 2))
(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)))
(+.f64 0 (sqrt.f64 (+.f64 x -1)))
(sqrt.f64 (+.f64 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))))
(sqrt.f64 (+.f64 x -1))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x -1))) 1)
(sqrt.f64 (+.f64 x -1))
(*.f64 1 (sqrt.f64 (+.f64 x -1)))
(sqrt.f64 (+.f64 x -1))
(*.f64 (sqrt.f64 (+.f64 x -1)) 1)
(sqrt.f64 (+.f64 x -1))
(*.f64 (sqrt.f64 (+.f64 x -1)) (log.f64 (E.f64)))
(sqrt.f64 (+.f64 x -1))
(*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (+.f64 x -1) 1/6))
(sqrt.f64 (+.f64 x -1))
(*.f64 (pow.f64 (+.f64 x -1) 1/6) (cbrt.f64 (+.f64 x -1)))
(sqrt.f64 (+.f64 x -1))
(*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(sqrt.f64 (+.f64 x -1))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (pow.f64 (+.f64 x -1) 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (pow.f64 (+.f64 x -1) 5/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/4)) (pow.f64 (pow.f64 (+.f64 x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/4)) (sqrt.f64 (pow.f64 (+.f64 x -1) 3/4)))
(*.f64 (pow.f64 (+.f64 x -1) 1/8) (pow.f64 (+.f64 x -1) 3/8))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (/.f64 1 (+.f64 x 1))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1)) (pow.f64 (/.f64 1 (+.f64 (fma.f64 x x 1) x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 (+.f64 x (fma.f64 x x 1)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x -1)))
(sqrt.f64 (+.f64 x -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 x -1) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/4)) (sqrt.f64 (pow.f64 (+.f64 x -1) 3/4)))
(*.f64 (pow.f64 (+.f64 x -1) 1/8) (pow.f64 (+.f64 x -1) 3/8))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) 1) 1/2) (pow.f64 (-.f64 (sqrt.f64 x) 1) 1/2))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 x) -1)))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 x))) (sqrt.f64 (+.f64 -1 (sqrt.f64 x))))
(*.f64 (hypot.f64 1 (pow.f64 x 1/4)) (sqrt.f64 (+.f64 -1 (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 x -1) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 5/6)) (sqrt.f64 (pow.f64 (+.f64 x -1) 1/6)))
(*.f64 (pow.f64 (+.f64 x -1) 5/12) (pow.f64 (+.f64 x -1) 1/12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 1/6)) 2) 3) (pow.f64 (+.f64 x -1) 1/6))
(sqrt.f64 (+.f64 x -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 1/6)) 3))
(sqrt.f64 (+.f64 x -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -1) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 5/4)) (cbrt.f64 (pow.f64 (+.f64 x -1) 1/4)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x 1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1)) (hypot.f64 x (sqrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 3))) (hypot.f64 x (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 x -1) 1/2)
(sqrt.f64 (+.f64 x -1))
(pow.f64 (sqrt.f64 (+.f64 x -1)) 1)
(sqrt.f64 (+.f64 x -1))
(pow.f64 (cbrt.f64 (+.f64 x -1)) 3/2)
(sqrt.f64 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) 1/6) 3)
(sqrt.f64 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) 2) 1/4)
(sqrt.f64 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x -1) 3/2) 1/3)
(sqrt.f64 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) 1/4) 2)
(sqrt.f64 (+.f64 x -1))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x -1))))
(sqrt.f64 (+.f64 x -1))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 x -1)))
(sqrt.f64 (+.f64 x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x -1)))))
(fabs.f64 (sqrt.f64 (+.f64 x -1)))
(sqrt.f64 (+.f64 x -1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))))
(sqrt.f64 (+.f64 x -1))
(cbrt.f64 (pow.f64 (+.f64 x -1) 3/2))
(sqrt.f64 (+.f64 x -1))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x -1))))
(sqrt.f64 (+.f64 x -1))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x -1))))
(sqrt.f64 (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1) 1/6)) 3))
(sqrt.f64 (+.f64 x -1))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 x -1))) 1/3))
(sqrt.f64 (+.f64 x -1))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 x -1))) 2))
(sqrt.f64 (+.f64 x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x -1))))
(sqrt.f64 (+.f64 x -1))

eval104.0ms (5.8%)

Compiler

Compiled 1524 to 1154 computations (24.3% saved)

prune15.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1094113
Fresh000
Picked101
Done000
Total1104114
Accuracy
100.0%
Counts
114 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
▶99.3%
(-.f64 x 1/2)
▶53.9%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
98.4%
x
▶99.6%
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
▶99.3%
(-.f64 x 1/2)
▶53.9%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
98.4%
x
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize48.0ms (2.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓53.9%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 8
Calls

3 calls:

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

rewrite53.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
786×unpow-prod-down
462×log-prod
461×log1p-expm1-u
461×expm1-log1p-u
458×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01023
110223
2128721
Stop Event
1×node limit
Counts
1 → 57
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (+.f64 x -1)))
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 (+.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (E.f64)))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (+.f64 x -1) (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/3))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.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)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2)) (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/6) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x -1)) x) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) x) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 x -1)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (*.f64 (cbrt.f64 x) (+.f64 x -1)) 1/2))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (+.f64 x -1))) 1/2) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) 1/2) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/6) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) x) 1/2) 1/2) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 2) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) (sqrt.f64 x)) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 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)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(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)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(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 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 2))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))

simplify61.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1742×fma-def
1090×distribute-lft-in
1024×distribute-rgt-in
704×associate-*r*
576×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01922759
14682698
211052152
334832134
Stop Event
1×node limit
Counts
65 → 121
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)))))
(+.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 (+.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (E.f64)))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (+.f64 x -1) (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/3))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.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)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2)) (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/6) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x -1)) x) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) x) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 x -1)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (*.f64 (cbrt.f64 x) (+.f64 x -1)) 1/2))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (+.f64 x -1))) 1/2) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) 1/2) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/6) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) x) 1/2) 1/2) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 2) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) (sqrt.f64 x)) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 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)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(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)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(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 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 2))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
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 (+.f64 1/2 (/.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 -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 (*.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 1/8 x) (+.f64 (/.f64 1/16 (pow.f64 x 2)) (-.f64 1/2 x)))
(+.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 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) 3)
(+.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 (+.f64 1 (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))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (E.f64)))
(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 (cbrt.f64 x) (pow.f64 (*.f64 (+.f64 x -1) (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/3))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (+.f64 x -1))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (*.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/3))
(*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (*.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))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.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 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2)) (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 2)) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 5/6)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x -1)) x) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (sqrt.f64 (*.f64 x (cbrt.f64 (+.f64 x -1)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x -1))) (sqrt.f64 (*.f64 x (cbrt.f64 (+.f64 x -1)))))
(*.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (*.f64 x (cbrt.f64 (+.f64 x -1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) x) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (*.f64 x (sqrt.f64 (+.f64 x -1)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 x -1)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x -1) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 (pow.f64 x 3/2) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/2) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 (pow.f64 x 2) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 x (*.f64 (+.f64 x -1) (+.f64 x -1))) 1/4))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x 3/2) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/4)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/8) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (*.f64 (cbrt.f64 x) (+.f64 x -1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (*.f64 (cbrt.f64 x) (+.f64 x -1))))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (*.f64 (cbrt.f64 x) (+.f64 x -1))))
(*.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (cbrt.f64 x) (+.f64 x -1))))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/4)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/8) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/8))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x -1)))) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (+.f64 x -1))) 1/2) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (*.f64 x (sqrt.f64 (+.f64 x -1)))))
(*.f64 (pow.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) 1/2) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x -1) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 (pow.f64 x 3/2) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/6) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/6)) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 5/12)) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/12) (pow.f64 (-.f64 (pow.f64 x 2) x) 5/12))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) x) 1/2) 1/2) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x (+.f64 x -1))))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 2) (+.f64 x -1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (*.f64 (pow.f64 x 2) (+.f64 x -1)) 1/4))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 2)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 2) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 4)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x -1)) (sqrt.f64 x)) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x -1) (sqrt.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x -1) (pow.f64 x 3/2))) (cbrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/4)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 5/4)) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/4)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/6)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (E.f64) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x -1))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(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))))
(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))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) 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)
(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 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)) 3))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 2))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))

eval141.0ms (7.9%)

Compiler

Compiled 1460 to 965 computations (33.9% saved)

prune17.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh011
Picked033
Done000
Total1214125
Accuracy
100.0%
Counts
125 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓99.3%
(-.f64 x 1/2)
✓53.9%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
98.4%
x
✓99.6%
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓99.3%
(-.f64 x 1/2)
✓53.9%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
98.4%
x
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓99.3%
(-.f64 x 1/2)
✓53.9%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
98.4%
x
✓99.6%
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓99.3%
(-.f64 x 1/2)
✓53.9%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
98.4%
x
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓99.3%
(-.f64 x 1/2)
✓53.9%
(sqrt.f64 (*.f64 x (+.f64 x -1)))
98.4%
x
Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes10.0ms (0.5%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
Calls

2 calls:

4.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes29.0ms (1.6%)

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

1 calls:

28.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
Compiler

Compiled 4 to 2 computations (50% saved)

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
92×unsub-neg
44×neg-mul-1
30×distribute-lft-neg-in
20×sub-neg
20×distribute-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
11839
23139
34239
46139
57639
69639
714039
819139
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
(-.f64 x 1/2)
x
Outputs
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
(+.f64 (/.f64 -1/8 x) (-.f64 x 1/2))
(-.f64 x 1/2)
x
Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness103.0ms (5.8%)

Rules
950×fma-neg
838×log-prod
782×exp-prod
682×fma-def
662×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02312173
15492090
213862058
345052048
Stop Event
1×node limit

end0.0ms (0%)

preprocess27.0ms (1.5%)

Compiler

Compiled 40 to 28 computations (30% saved)

Profiling

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