Details

Time bar (total: 4.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.5s (56.2%)

Results
1.4s4153×body1024valid
654.0ms2014×body512valid
251.0ms419×body2048valid
190.0ms1670×body256valid
Bogosity

preprocess14.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
92×fma-def
52×associate--r+
48×associate-+l-
46×+-commutative
28×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11727
22427
33827
45327
58027
614527
719427
824127
928627
1031027
1131227
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify23.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
92×fma-def
52×associate--r+
48×associate-+l-
46×+-commutative
28×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11727
22427
33827
45327
58027
614527
719427
824127
928627
1031027
1131227
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
91.72%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶91.72%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(sqrt.f64 (-.f64 1 x))
✓0.02%
(sqrt.f64 (+.f64 1 x))
✓8.5%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 26 to 19 computations (26.9% saved)

series7.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
2.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@inf
(sqrt.f64 (+.f64 1 x))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 1 x))

rewrite94.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1450×associate-*r/
1222×associate-*l/
936×*-commutative
788×associate-/r*
484×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01049
121349
2291649
Stop Event
1×node limit
Counts
3 → 189
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (-.f64 1 x))
Outputs
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x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change 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(cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))))

simplify132.0ms (3%)

Algorithm
1×egg-herbie
Rules
1208×+-commutative
1000×associate-+l-
966×associate-+r-
918×associate--r+
528×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04789955
112029433
257159425
Stop Event
1×node limit
Counts
201 → 316
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
(*.f64 (/.f64 1 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))) (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) 3))) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (*.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (*.f64 (+.f64 1 x) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))))
(/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 x x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (+.f64 x x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
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(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 (pow.f64 x 3) 1/16)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/16 1)))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/16 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
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(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))))
(pow.f64 (-.f64 1 x) 1/2)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(sqrt.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))

eval351.0ms (8%)

Compiler

Compiled 7466 to 5669 computations (24.1% saved)

prune50.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3133316
Fresh000
Picked011
Done000
Total3134317
Error
0%
Counts
317 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.01%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓91.72%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶0.65%
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
0.95%
x
Compiler

Compiled 34 to 25 computations (26.5% saved)

localize8.0ms (0.2%)

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize35.0ms (0.8%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
0.01%
(sqrt.f64 (-.f64 1 x))
✓0.02%
(sqrt.f64 (+.f64 x 1))
Compiler

Compiled 42 to 28 computations (33.3% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite78.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1358×associate-*r/
1126×associate-*l/
932×*-commutative
760×distribute-lft-in
568×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
121538
2297438
Stop Event
1×node limit
Counts
2 → 122
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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(sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (+.f64 (+.f64 x x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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simplify95.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1328×associate-*r/
1066×associate-+l+
1042×associate-*l/
942×associate-+r+
848×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03547172
19776932
240866900
Stop Event
1×node limit
Counts
130 → 225
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (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)) (pow.f64 1 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
(*.f64 (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (+.f64 (+.f64 x x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (*.f64 (+.f64 x 1) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(/.f64 (sqrt.f64 (+.f64 x x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (+.f64 x x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x x))))
(/.f64 (-.f64 1 (+.f64 x (+.f64 x 1))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x (-.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3)) (*.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (*.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 x x -1)))
(/.f64 (-.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (fma.f64 x x x))) (*.f64 (+.f64 x -1) (-.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x)))))
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x (-.f64 1 x)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (fma.f64 x x x)))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 1 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (+.f64 x x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1 (+.f64 x (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (neg.f64 (+.f64 x x)) 1) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) 1) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x x)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (+.f64 x (-.f64 2 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (*.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (fma.f64 x x -1))
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (fma.f64 x x x))) (*.f64 (+.f64 x -1) (-.f64 1 (pow.f64 x 3)))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x (-.f64 1 x)))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 (pow.f64 x 3)))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (/.f64 (+.f64 x x) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 2)
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(fma.f64 -5/64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/4 2))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (fma.f64 -5/64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/4 2)) (*.f64 -21/512 (pow.f64 x 6)))
(+.f64 (fma.f64 -21/512 (pow.f64 x 6) (*.f64 x (*.f64 x -1/4))) (fma.f64 -5/64 (pow.f64 x 4) 2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 1 1/2))
(sqrt.f64 (+.f64 1 x))
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(/.f64 (+.f64 x x) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(fabs.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (-.f64 1 x) 1/2))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))

eval196.0ms (4.5%)

Compiler

Compiled 8101 to 5511 computations (32% saved)

prune47.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2931294
Fresh011
Picked011
Done112
Total2944298
Error
0%
Counts
298 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.01%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶0.64%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
✓91.72%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.95%
x
Compiler

Compiled 38 to 27 computations (28.9% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.01%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
Compiler

Compiled 33 to 16 computations (51.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
0.0ms
x
@inf
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
0.0ms
x
@-inf
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))

rewrite91.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1258×associate-*r/
1130×associate-/l*
1012×*-commutative
986×associate-/r*
954×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031
122627
2326921
Stop Event
1×node limit
Counts
1 → 59
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4)) (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))) (/.f64 0 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (neg.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (neg.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 4)) (-.f64 (*.f64 x (*.f64 x -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (sqrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) (-.f64 (pow.f64 x 4) 0)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (+.f64 0 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (cbrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))))

simplify56.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1328×associate-/l*
1122×associate-/r*
746×distribute-lft-in
690×distribute-rgt-in
570×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0190655
1594631
21246631
33510631
Stop Event
1×node limit
Counts
71 → 86
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))) 1)
(*.f64 0 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 0 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 0)
(*.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)
(*.f64 1 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))))
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
(*.f64 (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4)) (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) 0)
(*.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))) (/.f64 0 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 2)
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
(*.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))
(*.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 0 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))
(*.f64 (/.f64 0 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
(*.f64 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)) 0)
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (neg.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (neg.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
(*.f64 (/.f64 0 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 4)) (-.f64 (*.f64 x (*.f64 x -1/4)) 2))
(*.f64 (/.f64 0 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)
(*.f64 (/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (sqrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) (-.f64 (pow.f64 x 4) 0)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (+.f64 0 (pow.f64 x 4)))
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (cbrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
(pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)
(pow.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)
(pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(pow.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)) 1/3)
(pow.f64 (*.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) -1)
(neg.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
(sqrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)))
(log.f64 (exp.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))
(cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
(exp.f64 (log.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
(log1p.f64 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/64 (pow.f64 x 5) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(-.f64 (/.f64 -512 (pow.f64 x 5)) (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -512 (pow.f64 x 5)) (+.f64 (/.f64 -8 x) (/.f64 -4096 (pow.f64 x 7)))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (+.f64 (/.f64 -512 (pow.f64 x 5)) (/.f64 -4096 (pow.f64 x 7)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(-.f64 (/.f64 -512 (pow.f64 x 5)) (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -512 (pow.f64 x 5)) (+.f64 (/.f64 -8 x) (/.f64 -4096 (pow.f64 x 7)))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (+.f64 (/.f64 -512 (pow.f64 x 5)) (/.f64 -4096 (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))) 1)
0
(*.f64 0 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
0
(*.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))
0
(*.f64 0 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)))
0
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 0)
0
(*.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)
0
(*.f64 1 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
0
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))))
0
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
0
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
0
(*.f64 (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4)) (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))))
0
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) 0)
0
(*.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))) (/.f64 0 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))))
0
(*.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 2)
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (/.f64 1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
0
(*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
0
(*.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))
0
(*.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
0
(*.f64 (/.f64 0 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))
0
(*.f64 (/.f64 0 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
0
(*.f64 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)) 0)
0
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))
0
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (neg.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
0
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))
0
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (neg.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
0
(*.f64 (/.f64 0 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 4)) (-.f64 (*.f64 x (*.f64 x -1/4)) 2))
0
(*.f64 (/.f64 0 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)
0
(*.f64 (/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (sqrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
0
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
0
(*.f64 (/.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) (-.f64 (pow.f64 x 4) 0)) (*.f64 x x))
0
(*.f64 (/.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (+.f64 0 (pow.f64 x 4)))
0
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (cbrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
0
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
0
(pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)
0
(pow.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)
0
(pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)
0
(pow.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)) 1/3)
0
(pow.f64 (*.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) -1)
0
(neg.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
0
(sqrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)))
(sqrt.f64 0)
(log.f64 (exp.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
0
(log.f64 (+.f64 1 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))
0
(cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
0
(expm1.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
0
(exp.f64 (log.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
0
(log1p.f64 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
0

eval29.0ms (0.7%)

Compiler

Compiled 1355 to 1071 computations (21% saved)

prune43.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85186
Fresh011
Picked011
Done022
Total85590
Error
0%
Counts
90 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.01%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓0.64%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
✓91.72%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶0.64%
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
0.95%
x
Compiler

Compiled 49 to 35 computations (28.6% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
✓0.02%
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
Compiler

Compiled 31 to 22 computations (29% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
0.0ms
x
@inf
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
0.0ms
x
@0
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
0.0ms
x
@inf
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
0.0ms
x
@0
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))

rewrite103.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
900×*-commutative
730×associate-*r/
628×unswap-sqr
562×swap-sqr
530×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
121048
2249948
Stop Event
1×node limit
Counts
2 → 122
Calls
Call 1
Inputs
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))))

simplify87.0ms (2%)

Algorithm
1×egg-herbie
Rules
1528×associate-/r/
1450×unswap-sqr
756×distribute-rgt-in
756×distribute-lft-in
676×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03805590
19695344
238595344
Stop Event
1×node limit
Counts
146 → 232
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 1/64 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 1/64 (pow.f64 x 4)) (*.f64 1/512 (pow.f64 x 6)))))
(/.f64 -8 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 4))) (*.f64 8 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -8 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 4))) (*.f64 8 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4)))))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) 1)
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(/.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) 1)
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 2 x)))
(/.f64 1 (/.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 2 x)) 1))
(/.f64 1 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) (*.f64 x -2)))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) (sqrt.f64 x)))
(/.f64 (cbrt.f64 x) (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) (cbrt.f64 x)))
(/.f64 (*.f64 2 x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
(/.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (sqrt.f64 (*.f64 2 x))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 x)) (cbrt.f64 (*.f64 2 x))) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (cbrt.f64 (*.f64 2 x))))
(/.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (sqrt.f64 x)))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (cbrt.f64 x)))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))
(/.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1/2)
(/.f64 (*.f64 x -2) (+.f64 -2 (*.f64 (*.f64 x x) 1/4)))
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 x (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 x (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 x -1) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2))
(/.f64 (*.f64 1 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 1 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x))) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))) (sqrt.f64 (*.f64 2 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))) 2) (cbrt.f64 (*.f64 2 x))) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (*.f64 2 x) -1) (+.f64 -2 (*.f64 (*.f64 x x) 1/4)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) 1) (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 2)) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 -2)) (sqrt.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) 1) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 -2)) (cbrt.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4))))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 -1 x) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2))
(/.f64 (*.f64 (*.f64 x -2) 1) (+.f64 -2 (*.f64 (*.f64 x x) 1/4)))
(/.f64 (*.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 1) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) 1) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 1 (*.f64 x (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))) (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (sqrt.f64 -2) (*.f64 x (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))) (sqrt.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 2 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 2 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))
(/.f64 (/.f64 x 1) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(/.f64 (/.f64 (*.f64 2 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))
(/.f64 (/.f64 (*.f64 x -2) 1) (+.f64 -2 (*.f64 (*.f64 x x) 1/4)))
(/.f64 (/.f64 (*.f64 x -2) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (*.f64 x -2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (*.f64 x -2) (sqrt.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)))) (sqrt.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4))))
(/.f64 (/.f64 (*.f64 x -2) (*.f64 (cbrt.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4))) (cbrt.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4))))) (cbrt.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4))))
(/.f64 (/.f64 (*.f64 x -2) -1) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (/.f64 (*.f64 x -2) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 (*.f64 x -2) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 1) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) 1) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) 1))))
(pow.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) 3) 1/3)
(neg.f64 (/.f64 (*.f64 2 x) (+.f64 -2 (*.f64 (*.f64 x x) 1/4))))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))))
(exp.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) 1)
(*.f64 2 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 1)
(*.f64 1 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) 2)
(*.f64 -2 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 2 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 -1 (/.f64 1 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2)))
(*.f64 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)) -2)
(*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/16) -4)) (+.f64 (*.f64 x (*.f64 x -1/4)) -2))
(*.f64 (/.f64 2 (+.f64 8 (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/16) 4) (*.f64 2 (*.f64 x (*.f64 x -1/4)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3/2) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/6))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1/2) (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1/2))
(pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1)
(sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(-.f64 (/.f64 -8 x) (/.f64 64 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 -8 x) (/.f64 64 (pow.f64 x 3))) (/.f64 512 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))) (/.f64 64 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))) (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(-.f64 (/.f64 -8 x) (/.f64 64 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 -8 x) (/.f64 64 (pow.f64 x 3))) (/.f64 512 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))) (/.f64 64 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))) (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))))
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
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(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/6))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1/2) (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1/2))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 1)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))
(sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 (*.f64 x x) -1/4 2) -2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))

eval110.0ms (2.5%)

Compiler

Compiled 4682 to 3527 computations (24.7% saved)

prune73.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2302232
Fresh011
Picked101
Done033
Total2316237
Error
0%
Counts
237 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.01%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓0.64%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
0.83%
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
✓91.72%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.64%
(*.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/16) -4)) (+.f64 (*.f64 x (*.f64 x -1/4)) -2)) x)
0.95%
x
Compiler

Compiled 70 to 52 computations (25.7% saved)

regimes10.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
x
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
(*.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/16) -4)) (+.f64 (*.f64 x (*.f64 x -1/4)) -2)) x)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Calls

2 calls:

5.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.01%1x
0.01%1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 94 to 66 computations (29.8% saved)

regimes9.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
(*.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/16) -4)) (+.f64 (*.f64 x (*.f64 x -1/4)) -2)) x)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(*.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/16) -4)) (+.f64 (*.f64 x (*.f64 x -1/4)) -2)) x)
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.64%1x
0.64%1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 81 to 58 computations (28.4% saved)

regimes7.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
Outputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.64%1x
Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.2b remaining (-36.7%)

Threshold costs -0.2b (-36.7%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.83%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
16×+-commutative
16×*-commutative
4×sub-neg
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036157
153157
257157
359157
460157
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/16) -4)) (+.f64 (*.f64 x (*.f64 x -1/4)) -2)) x)
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
x
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/16) -4)) (+.f64 (*.f64 x (*.f64 x -1/4)) -2)) x)
(*.f64 x (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/16) -4)) (+.f64 (*.f64 x (*.f64 x -1/4)) -2)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
x
Compiler

Compiled 60 to 44 computations (26.7% saved)

soundness86.0ms (2%)

Algorithm
1×egg-herbie
Rules
1208×+-commutative
1000×associate-+l-
966×associate-+r-
918×associate--r+
528×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04789955
112029433
257159425
Stop Event
1×node limit
Compiler

Compiled 72 to 48 computations (33.3% saved)

end39.0ms (0.9%)

Compiler

Compiled 56 to 38 computations (32.1% saved)

Profiling

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