Details

Time bar (total: 12.6s)

analyze4.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.7%50.3%0%0%0%0
0%0%49.7%50.3%0%0%0%1
0%0%49.7%50.3%0%0%0%2
50%24.8%24.8%50.3%0%0%0%3
75%37.3%12.4%50.3%0%0%0%4
87.5%43.5%6.2%50.3%0%0%0%5
93.8%46.6%3.1%50.3%0%0%0%6
96.9%48.1%1.6%50.3%0%0%0%7
98.4%48.9%0.8%50.3%0%0%0%8
99.2%49.3%0.4%50.3%0%0%0%9
99.6%49.5%0.2%50.3%0%0%0%10
99.8%49.6%0.1%50.3%0%0%0%11
99.9%49.6%0%50.3%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample10.2s (81.2%)

Results
8.5s4079×body2048valid
1.1s2134×body1024valid
261.0ms1057×body512valid
172.0ms218×body4096valid
96.0ms768×body256valid
Bogosity

preprocess11.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
80×fma-def
48×associate--r+
38×associate-+l-
28×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11323
21923
32823
43823
55623
610723
714723
819123
923123
1025623
1125823
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
80×fma-def
48×associate--r+
38×associate-+l-
28×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11323
21923
32823
43823
55623
610723
714723
819123
923123
1025623
1125823
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
94.06%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶94.06%
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(/.f64 1 (tan.f64 x))
✓4.49%
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
1.0ms
x
@-inf
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
1.0ms
x
@0
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.0ms
x
@inf
(/.f64 1 (tan.f64 x))
0.0ms
x
@-inf
(/.f64 1 (tan.f64 x))

rewrite85.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1544×associate-*r/
1048×associate-*l/
888×*-commutative
704×associate-/r*
404×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
119834
2267834
Stop Event
1×node limit
Counts
2 → 186
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (sin.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (tan.f64 x) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x))))))))

simplify121.0ms (1%)

Algorithm
1×egg-herbie
Rules
1194×associate-+r+
1006×associate-+l+
826×+-commutative
562×associate-+r-
486×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04869548
113749100
254749036
Stop Event
1×node limit
Counts
210 → 282
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(+.f64 (*.f64 -2/945 (pow.f64 x 5)) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 1 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) 1))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) 1))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) 1))
(+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (-.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))) 1)
(*.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))
(*.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (-.f64 (tan.f64 x) x))
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(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (/.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) x) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 x)))
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) 1)
(*.f64 1 (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) 1)
(*.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 -1 (tan.f64 x)) -1)
(*.f64 -1 (/.f64 -1 (tan.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (pow.f64 (tan.f64 x) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) -1)
(pow.f64 (/.f64 1 (tan.f64 x)) 1)
(pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)
(pow.f64 (pow.f64 (tan.f64 x) -3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x)))))
(cbrt.f64 (pow.f64 (tan.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x))))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(fma.f64 -1/3 x (/.f64 1 x))
(fma.f64 x -1/3 (/.f64 1 x))
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/45 (fma.f64 x -1/3 (/.f64 1 x)))
(+.f64 (*.f64 -2/945 (pow.f64 x 5)) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(fma.f64 -2/945 (pow.f64 x 5) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x))))
(fma.f64 (pow.f64 x 5) -2/945 (fma.f64 (pow.f64 x 3) -1/45 (fma.f64 x -1/3 (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 -1 (tan.f64 x)) 0))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 -1 (tan.f64 x)) 0))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)))
(+.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 -1 (tan.f64 x)) 0))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 -1 (tan.f64 x)) 0))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)))
(+.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (*.f64 2 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))
(fma.f64 2 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (*.f64 2 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))
(fma.f64 2 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 0)))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (+.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 -1 (tan.f64 x)) 0) 2)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (*.f64 2 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))
(fma.f64 2 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (*.f64 2 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))
(fma.f64 2 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 0)))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (+.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 -1 (tan.f64 x)) 0) 2)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 0)))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (+.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 -1 (tan.f64 x)) 0) 2)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 0)))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (+.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 -1 (tan.f64 x)) 0) 2)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) 1)
(/.f64 1 (tan.f64 x))
(*.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(*.f64 (/.f64 1 (tan.f64 x)) 1)
(/.f64 1 (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2))
(/.f64 1 (tan.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 -1 (tan.f64 x)) -1)
(/.f64 1 (tan.f64 x))
(*.f64 -1 (/.f64 -1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(*.f64 (cos.f64 x) (/.f64 1 (sin.f64 x)))
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1))
(pow.f64 (sqrt.f64 (tan.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 x))) (cos.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (tan.f64 x) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) -1)
(/.f64 1 (tan.f64 x))
(pow.f64 (/.f64 1 (tan.f64 x)) 1)
(/.f64 1 (tan.f64 x))
(pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)
(/.f64 1 (tan.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)
(/.f64 1 (tan.f64 x))
(pow.f64 (pow.f64 (tan.f64 x) -3) 1/3)
(cbrt.f64 (pow.f64 (tan.f64 x) -3))
(sqrt.f64 (pow.f64 (tan.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x)))))
(/.f64 1 (tan.f64 x))
(cbrt.f64 (pow.f64 (tan.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))

eval97.0ms (0.8%)

Compiler

Compiled 6041 to 3506 computations (42% saved)

prune37.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2802282
Fresh000
Picked101
Done000
Total2812283
Error
0.54%
Counts
283 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.54%
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
▶0.79%
(*.f64 1/3 x)
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.54%
(*.f64 1/3 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 1/3 x)
0.0ms
x
@inf
(*.f64 1/3 x)
0.0ms
x
@0
(*.f64 1/3 x)

rewrite47.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
920×associate-*l*
900×add-sqr-sqrt
884×*-un-lft-identity
842×pow1
824×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211097
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/3 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/3 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))))

simplify61.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
858×log-prod
826×+-commutative
818×associate-+r-
696×fma-def
684×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032143
18377
225977
3181477
4397777
5639677
Stop Event
1×node limit
Counts
11 → 13
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/3 x) 1) 1)
(pow.f64 (*.f64 1/3 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
Outputs
(-.f64 (+.f64 (*.f64 1/3 x) 1) 1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(pow.f64 (*.f64 1/3 x) 1)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(log.f64 (pow.f64 (exp.f64 1/3) x))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 1/3 x)))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(pow.f64 x 3)
✓0.1%
(*.f64 1/45 (pow.f64 x 3))
0.54%
(*.f64 1/3 x)
Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 x 3)
0.0ms
x
@0
(*.f64 1/45 (pow.f64 x 3))
0.0ms
x
@inf
(pow.f64 x 3)
0.0ms
x
@inf
(*.f64 1/45 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 1/45 (pow.f64 x 3))

rewrite52.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1236×add-sqr-sqrt
1204×*-un-lft-identity
1142×add-cube-cbrt
1134×add-cbrt-cube
1118×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
114920
2159520
Stop Event
1×node limit
Counts
2 → 30
Calls
Call 1
Inputs
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 x 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))

simplify48.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1156×associate-+r+
1082×associate-+l+
1012×distribute-lft-in
992×distribute-rgt-in
634×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076636
1183456
2683276
31885276
Stop Event
1×node limit
Counts
30 → 36
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/45 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/45)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)
(pow.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(*.f64 x (*.f64 x x))
(*.f64 (pow.f64 x 3) 1)
(*.f64 1 (pow.f64 x 3))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (*.f64 x x) 1) x)
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
Outputs
(-.f64 (+.f64 1 (*.f64 1/45 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/45)) 2)
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 1/45 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/45 (pow.f64 x 3)) 0)
(*.f64 1/45 (pow.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 x (*.f64 x x))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) 1)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (*.f64 x x) x)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (*.f64 (*.f64 x x) 1) x)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)

eval15.0ms (0.1%)

Compiler

Compiled 654 to 505 computations (22.8% saved)

prune11.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New58462
Fresh000
Picked101
Done011
Total59564
Error
0.36%
Counts
64 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶50.98%
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
▶2.61%
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
▶0.54%
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
✓0.79%
(*.f64 1/3 x)
▶67.9%
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
Compiler

Compiled 37 to 28 computations (24.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.24%
(*.f64 x (*.f64 x 1/9))
✓0.58%
(*.f64 x 1/9)
✓43.94%
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (*.f64 x 1/9))
0.0ms
x
@-inf
(*.f64 x 1/9)
0.0ms
x
@inf
(*.f64 x 1/9)
0.0ms
x
@0
(*.f64 x 1/9)
0.0ms
x
@inf
(*.f64 x (*.f64 x 1/9))

rewrite60.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1418×add-sqr-sqrt
1400×*-un-lft-identity
1306×add-cube-cbrt
1290×add-cbrt-cube
1276×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0837
116027
2181727
Stop Event
1×node limit
Counts
3 → 51
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 x 1/9)
(*.f64 x (*.f64 x 1/9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 1/2) (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/9)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/9) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9))))))))

simplify70.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
900×associate-/l*
784×log-prod
630×*-commutative
458×fma-def
458×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110759
1259759
21084759
33034759
45809759
Stop Event
1×node limit
Counts
87 → 58
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 x)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 x 1/3)
(*.f64 (*.f64 x 1/3) 1)
(*.f64 1 (*.f64 x 1/3))
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 1/3 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (pow.f64 1 1/2) (*.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 1/2))
(*.f64 (pow.f64 (*.f64 x x) 1/2) (pow.f64 1/9 1/2))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(fabs.f64 (*.f64 x 1/3))
(log.f64 (exp.f64 (*.f64 x 1/3)))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(-.f64 (+.f64 1 (*.f64 x 1/9)) 1)
(pow.f64 (*.f64 x 1/9) 1)
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/9) 3) 1/3)
(sqrt.f64 (*.f64 1/81 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/9) x))
(cbrt.f64 (pow.f64 (*.f64 x 1/9) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/9)))
(exp.f64 (log.f64 (*.f64 x 1/9)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/9)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/9))) 1)
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1)
(pow.f64 (*.f64 x 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/9) x) x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/9))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9))))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/9))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(*.f64 1 (*.f64 x 1/3))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 x) (*.f64 1/3 (sqrt.f64 x)))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 1/3 x)
(*.f64 (pow.f64 1 1/2) (*.f64 x 1/3))
(*.f64 1/3 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 1/2))
(*.f64 1/3 x)
(*.f64 (pow.f64 (*.f64 x x) 1/2) (pow.f64 1/9 1/2))
(*.f64 1/3 x)
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(fabs.f64 (*.f64 x 1/3))
(*.f64 1/3 x)
(log.f64 (exp.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 x 1/9)) 1)
(*.f64 x 1/9)
(pow.f64 (*.f64 x 1/9) 1)
(*.f64 x 1/9)
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2)
(*.f64 x 1/9)
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)
(*.f64 x 1/9)
(pow.f64 (pow.f64 (*.f64 x 1/9) 3) 1/3)
(*.f64 x 1/9)
(sqrt.f64 (*.f64 1/81 (*.f64 x x)))
(*.f64 x 1/9)
(log.f64 (pow.f64 (exp.f64 1/9) x))
(*.f64 x 1/9)
(cbrt.f64 (pow.f64 (*.f64 x 1/9) 3))
(*.f64 x 1/9)
(expm1.f64 (log1p.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(exp.f64 (log.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1))
(*.f64 x 1/9)
(log1p.f64 (expm1.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/9))) 1)
(*.f64 x (*.f64 x 1/9))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1)
(*.f64 x (*.f64 x 1/9))
(pow.f64 (*.f64 x 1/3) 2)
(*.f64 x (*.f64 x 1/9))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 3)
(*.f64 x (*.f64 x 1/9))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2) 1/2)
(*.f64 x (*.f64 x 1/9))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) 1/3)
(*.f64 x (*.f64 x 1/9))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2))
(*.f64 x (*.f64 x 1/9))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/9) x) x))
(*.f64 x (*.f64 x 1/9))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3))
(*.f64 x (*.f64 x 1/9))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 x (*.f64 x 1/9))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 x (*.f64 x 1/9))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1))
(*.f64 x (*.f64 x 1/9))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 x (*.f64 x 1/9))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1%
(*.f64 1/45 (*.f64 (*.f64 x x) x))
✓0.12%
(*.f64 (*.f64 x x) x)
0.54%
(*.f64 1/3 x)
Compiler

Compiled 33 to 14 computations (57.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (*.f64 x x) x)
0.0ms
x
@inf
(*.f64 (*.f64 x x) x)
0.0ms
x
@0
(*.f64 (*.f64 x x) x)
0.0ms
x
@-inf
(*.f64 1/45 (*.f64 (*.f64 x x) x))
0.0ms
x
@inf
(*.f64 1/45 (*.f64 (*.f64 x x) x))

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1216×add-sqr-sqrt
1190×*-un-lft-identity
1118×add-cube-cbrt
1108×add-cbrt-cube
1096×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
114320
2162420
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
(*.f64 1/45 (*.f64 (*.f64 x x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/45)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/45) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/45) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2025 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/45) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/45)))))))

simplify49.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1768×log-prod
1272×associate-+r+
1232×associate-+l+
1030×associate-*r*
966×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057460
1131460
2551460
33056460
Stop Event
1×node limit
Counts
46 → 24
Calls
Call 1
Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 x) 3))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/45)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 1/45) 1)
(pow.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/45) 3) 1/3)
(sqrt.f64 (*.f64 1/2025 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/45) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/45)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/45)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/45)))
Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/45)
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 x 3)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/45)) 1)
(*.f64 (pow.f64 x 3) 1/45)
(pow.f64 (*.f64 (pow.f64 x 3) 1/45) 1)
(*.f64 (pow.f64 x 3) 1/45)
(pow.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) 2)
(*.f64 (pow.f64 x 3) 1/45)
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)
(*.f64 (pow.f64 x 3) 1/45)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/45) 3) 1/3)
(*.f64 (pow.f64 x 3) 1/45)
(sqrt.f64 (*.f64 1/2025 (pow.f64 x 6)))
(*.f64 (pow.f64 x 3) 1/45)
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 1/45)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/45) 3))
(*.f64 (pow.f64 x 3) 1/45)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/45)))
(*.f64 (pow.f64 x 3) 1/45)
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/45)))
(*.f64 (pow.f64 x 3) 1/45)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/45)))
(*.f64 (pow.f64 x 3) 1/45)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.54%
(*.f64 1/3 x)
✓0.99%
(cbrt.f64 (*.f64 1/3 x))
✓1.04%
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
0.0ms
x
@-inf
(cbrt.f64 (*.f64 1/3 x))
0.0ms
x
@0
(cbrt.f64 (*.f64 1/3 x))

rewrite54.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1412×add-sqr-sqrt
1378×*-un-lft-identity
1304×add-cube-cbrt
1292×add-cbrt-cube
1276×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
118518
2184118
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(cbrt.f64 (*.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/6) (*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (*.f64 1/3 x) 1/6)) (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 1/3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/3) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x))))))))

simplify49.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1412×associate-+r+
1366×distribute-rgt-in
1350×distribute-lft-in
1286×associate-+l+
950×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01061110
1236834
2801552
32611552
Stop Event
1×node limit
Counts
52 → 62
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(*.f64 (*.f64 1/3 x) 1)
(*.f64 1 (*.f64 1/3 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (*.f64 1/3 x) 1/6)) (pow.f64 (*.f64 1/3 x) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 1/3)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (cbrt.f64 1/3) 3) x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 1/3 x))) 1)
(*.f64 (cbrt.f64 (*.f64 1/3 x)) 1)
(*.f64 1 (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (*.f64 1/3 x) 1/6))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1)
(pow.f64 (*.f64 1/3 x) 1/3)
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/3 x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x))))
Outputs
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 1/3 x)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 x 1/3)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 x) 1)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 1 (*.f64 1/3 x))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(*.f64 (cbrt.f64 1/3) (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1) (cbrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (*.f64 1/3 x) 1/6)) (pow.f64 (*.f64 1/3 x) 1/6))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 1/3)) (cbrt.f64 x))
(*.f64 (cbrt.f64 1/3) (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 1/3) 3) x)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(fabs.f64 (*.f64 1/3 x))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 1/3 x))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 1 (cbrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (*.f64 1/3 x) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(pow.f64 (*.f64 1/3 x) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 1))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0)
(cbrt.f64 (*.f64 1/3 x))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.05%
(sqrt.f64 (*.f64 1/3 x))
✓0.34%
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
0.54%
(*.f64 1/3 x)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
0.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
0.0ms
x
@-inf
(sqrt.f64 (*.f64 1/3 x))
0.0ms
x
@inf
(sqrt.f64 (*.f64 1/3 x))

rewrite55.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1366×add-sqr-sqrt
1342×*-un-lft-identity
1254×add-cube-cbrt
1244×add-cbrt-cube
1230×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
118318
2176418
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(sqrt.f64 (*.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 1/3 x) 1/4)) (pow.f64 (*.f64 1/3 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 1/3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/3) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/4) (pow.f64 (*.f64 1/3 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/3 x))))))))

simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1068×associate-+r+
1068×distribute-lft-in
1038×distribute-rgt-in
970×associate-+l+
822×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099989
1207731
2811473
32593473
Stop Event
1×node limit
Counts
47 → 54
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 (*.f64 1/3 x) 1)
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))
(*.f64 1 (*.f64 1/3 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 1/3 x) 1/4)) (pow.f64 (*.f64 1/3 x) 1/4))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 1/3)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 1/3 x))) 1)
(*.f64 (sqrt.f64 (*.f64 1/3 x)) 1)
(*.f64 1 (sqrt.f64 (*.f64 1/3 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 1/3))
(*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (pow.f64 (*.f64 1/3 x) 1/4))
(*.f64 (sqrt.f64 1/3) (sqrt.f64 x))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1/2))
(pow.f64 (*.f64 1/3 x) 1/2)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1)
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 1/3 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 x))))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/3 x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/3 x))))
Outputs
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 1/3 x)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 x 1/3)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 x) 1)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 1 (*.f64 1/3 x))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 1/3)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 1/3 x) 1/4)) (pow.f64 (*.f64 1/3 x) 1/4))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 1/3)) (sqrt.f64 x))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 1/3)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 1/3) 2) x)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(log.f64 (pow.f64 (exp.f64 1/3) x))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 1/3 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(*.f64 (sqrt.f64 (*.f64 1/3 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(*.f64 1 (sqrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 1/3))
(*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (pow.f64 (*.f64 1/3 x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(*.f64 (sqrt.f64 1/3) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 1/3))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (cbrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(pow.f64 (*.f64 1/3 x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(fabs.f64 (sqrt.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/3 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(+.f64 (sqrt.f64 (*.f64 1/3 x)) 0)
(sqrt.f64 (*.f64 1/3 x))

eval53.0ms (0.4%)

Compiler

Compiled 2167 to 1705 computations (21.3% saved)

prune38.0ms (0.3%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New22314237
Fresh000
Picked011
Done044
Total22319242
Error
0.18%
Counts
242 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
9.49%
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 3)
51.12%
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 1/3)) 2)
2.87%
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
✓50.98%
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
3.13%
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)) 3)
✓2.61%
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
✓0.54%
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
▶93.04%
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
4.1%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
▶2.58%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
3.39%
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
2.62%
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
▶51.49%
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
50.98%
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
▶45.02%
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))
✓0.79%
(*.f64 1/3 x)
67.89%
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
▶68.18%
(sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)))
✓67.9%
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
Compiler

Compiled 363 to 296 computations (18.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.73%
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
✓0.8%
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
0.99%
(cbrt.f64 (*.f64 1/3 x))
✓1.03%
(cbrt.f64 x)
Compiler

Compiled 38 to 28 computations (26.3% saved)

series3.0ms (0%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
0.0ms
x
@-inf
(cbrt.f64 x)
0.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
0.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)

rewrite60.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1714×add-sqr-sqrt
1690×*-un-lft-identity
1576×add-cube-cbrt
1558×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
123233
2229033
Stop Event
1×node limit
Counts
3 → 61
Calls
Call 1
Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/3) 1/6) (*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 (*.f64 x 1/3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 x)) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 1/3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/3))))))))

simplify67.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1220×associate-+l+
1186×fma-def
1168×associate-+r+
852×*-commutative
438×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0126805
1231805
21007805
32784799
47883799
Stop Event
1×node limit
Counts
61 → 70
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) 1)
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 (*.f64 x 1/3) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (cbrt.f64 1/9) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 1/9))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 x)) (cbrt.f64 1/3))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 1/3)) (cbrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))
(cbrt.f64 (*.f64 1/9 (*.f64 x x)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x 1/3)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x 1/3)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3)))) 1)
(pow.f64 (*.f64 x 1/3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x 1/3) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(fabs.f64 (cbrt.f64 (*.f64 x 1/3)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/3)))))
(cbrt.f64 (*.f64 x 1/3))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/3))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 4)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (cbrt.f64 (*.f64 x 1/3))))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 (*.f64 x 1/3) 1/6))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 4)))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (*.f64 x 1/3))))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (cbrt.f64 1/9) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 1/9))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 1/9))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 x)) (cbrt.f64 1/3))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 1/3)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 4))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(cbrt.f64 (*.f64 1/9 (*.f64 x x)))
(cbrt.f64 (*.f64 (*.f64 x x) 1/9))
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x 1/3)))))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x 1/3)))) 1))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3)))) 1)
(cbrt.f64 (*.f64 x 1/3))
(pow.f64 (*.f64 x 1/3) 1/3)
(cbrt.f64 (*.f64 x 1/3))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1)
(cbrt.f64 (*.f64 x 1/3))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2)
(cbrt.f64 (*.f64 x 1/3))
(pow.f64 (pow.f64 (*.f64 x 1/3) 1/6) 2)
(cbrt.f64 (*.f64 x 1/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3)
(cbrt.f64 (*.f64 x 1/3))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(cbrt.f64 (*.f64 x 1/3))
(fabs.f64 (cbrt.f64 (*.f64 x 1/3)))
(cbrt.f64 (*.f64 x 1/3))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 x 1/3))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/3)))))
(cbrt.f64 (*.f64 x 1/3))
(cbrt.f64 (*.f64 x 1/3))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 x 1/3))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1/3))
(cbrt.f64 (*.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 1))
(cbrt.f64 (*.f64 x 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 x 1/3))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.54%
(*.f64 1/3 x)
✓9.08%
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
0.0ms
x
@0
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
0.0ms
x
@-inf
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))

rewrite53.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1646×add-sqr-sqrt
1624×*-un-lft-identity
1528×add-cube-cbrt
1518×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
11787
223117
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (fma.f64 1/3 x -1))) (/.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (-.f64 1 (fma.f64 1/3 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (/.f64 1 (-.f64 1 (fma.f64 1/3 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (fma.f64 1/3 x -1)) (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1))) (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (-.f64 1 (fma.f64 1/3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (-.f64 1 (fma.f64 1/3 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) 1) (-.f64 (fma.f64 1/3 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 1)) 1) (+.f64 (fma.f64 1/3 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/3 x 1) 3) 1) (+.f64 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 1)) (+.f64 1 (fma.f64 1/3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2))) (neg.f64 (-.f64 1 (fma.f64 1/3 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 x -1)) (sqrt.f64 (fma.f64 1/3 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x -1)) 2) (cbrt.f64 (fma.f64 1/3 x -1)) 1)))))

simplify55.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1454×associate-/r*
786×associate--r+
662×distribute-lft-neg-in
644×associate--l+
608×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01101015
1259971
2701899
33152899
Stop Event
1×node limit
Counts
55 → 55
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(-.f64 (*.f64 1/3 x) 0)
(-.f64 (fma.f64 1/3 x 1) 1)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 1/3 x -1))) (/.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (-.f64 1 (fma.f64 1/3 x -1))))
(*.f64 1 (*.f64 1/3 x))
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 (*.f64 1/3 x) 1)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (/.f64 1 (-.f64 1 (fma.f64 1/3 x -1))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1)))))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 1/3 x -1)) (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1))) (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (-.f64 1 (fma.f64 1/3 x -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (-.f64 1 (fma.f64 1/3 x -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) 1) (-.f64 (fma.f64 1/3 x -1) 1))
(/.f64 (-.f64 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 1)) 1) (+.f64 (fma.f64 1/3 x 1) 1))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 x 1) 3) 1) (+.f64 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 1)) (+.f64 1 (fma.f64 1/3 x 1))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2))) (neg.f64 (-.f64 1 (fma.f64 1/3 x -1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1)))))
(pow.f64 (*.f64 1/3 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(fma.f64 1 (fma.f64 1/3 x -1) 1)
(fma.f64 (sqrt.f64 (fma.f64 1/3 x -1)) (sqrt.f64 (fma.f64 1/3 x -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x -1)) 2) (cbrt.f64 (fma.f64 1/3 x -1)) 1)
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(-.f64 (*.f64 1/3 x) 0)
(*.f64 1/3 x)
(-.f64 (fma.f64 1/3 x 1) 1)
(*.f64 1/3 x)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 1/3 x -1))) (/.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (-.f64 1 (fma.f64 1/3 x -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (-.f64 1 (fma.f64 1/3 x -1)))
(/.f64 (*.f64 1/3 x) (/.f64 (fma.f64 1/3 x -2) (fma.f64 1/3 x -2)))
(*.f64 1 (*.f64 1/3 x))
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 x) 1)
(*.f64 1/3 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) 1))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 x)) 1))
(*.f64 1/3 x)
(*.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (/.f64 1 (-.f64 1 (fma.f64 1/3 x -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (-.f64 1 (fma.f64 1/3 x -1)))
(/.f64 (*.f64 1/3 x) (/.f64 (fma.f64 1/3 x -2) (fma.f64 1/3 x -2)))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (+.f64 (*.f64 1/3 x) -2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 1/3 x -1) 3)) (-.f64 -1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -2))))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/3 x)
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/3 x)
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 1/3 x -1)) (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (-.f64 1 (fma.f64 1/3 x -1)))
(/.f64 (*.f64 1/3 x) (/.f64 (fma.f64 1/3 x -2) (fma.f64 1/3 x -2)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1))) (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (+.f64 (*.f64 1/3 x) -2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 1/3 x -1) 3)) (-.f64 -1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (-.f64 1 (fma.f64 1/3 x -1)))
(/.f64 (*.f64 1/3 x) (/.f64 (fma.f64 1/3 x -2) (fma.f64 1/3 x -2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (+.f64 (*.f64 1/3 x) -2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 1/3 x -1) 3)) (-.f64 -1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (-.f64 1 (fma.f64 1/3 x -1))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (+.f64 (*.f64 1/3 x) -2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 1/3 x -1) 3)) (-.f64 -1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) 1) (-.f64 (fma.f64 1/3 x -1) 1))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (-.f64 1 (fma.f64 1/3 x -1)))
(/.f64 (*.f64 1/3 x) (/.f64 (fma.f64 1/3 x -2) (fma.f64 1/3 x -2)))
(/.f64 (-.f64 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 1)) 1) (+.f64 (fma.f64 1/3 x 1) 1))
(/.f64 (fma.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 1) -1) (+.f64 1 (fma.f64 1/3 x 1)))
(/.f64 (*.f64 (*.f64 1/3 x) (+.f64 (*.f64 1/3 x) 2)) (+.f64 (*.f64 1/3 x) 2))
(/.f64 (*.f64 1/3 (*.f64 x (fma.f64 1/3 x 2))) (fma.f64 1/3 x 2))
(*.f64 (/.f64 (*.f64 1/3 x) (fma.f64 1/3 x 2)) (fma.f64 1/3 x 2))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 x 1) 3) 1) (+.f64 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 1)) (+.f64 1 (fma.f64 1/3 x 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (fma.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 1) (+.f64 1 (fma.f64 1/3 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (fma.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 1) (+.f64 (*.f64 1/3 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2))) (neg.f64 (-.f64 1 (fma.f64 1/3 x -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/3 x -1) 2)) (-.f64 1 (fma.f64 1/3 x -1)))
(/.f64 (*.f64 1/3 x) (/.f64 (fma.f64 1/3 x -2) (fma.f64 1/3 x -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (fma.f64 1/3 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (-.f64 (pow.f64 (fma.f64 1/3 x -1) 2) (+.f64 (*.f64 1/3 x) -2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 1/3 x -1) 3)) (-.f64 -1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -2))))
(pow.f64 (*.f64 1/3 x) 1)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(*.f64 1/3 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))
(*.f64 1/3 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(*.f64 1/3 x)
(fma.f64 1 (fma.f64 1/3 x -1) 1)
(*.f64 1/3 x)
(fma.f64 (sqrt.f64 (fma.f64 1/3 x -1)) (sqrt.f64 (fma.f64 1/3 x -1)) 1)
(*.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x -1)) 2) (cbrt.f64 (fma.f64 1/3 x -1)) 1)
(*.f64 1/3 x)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.54%
(*.f64 x 1/3)
0.58%
(*.f64 x 1/9)
✓0.99%
(cbrt.f64 (*.f64 x 1/3))
✓45.6%
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
Compiler

Compiled 36 to 25 computations (30.6% saved)

series2.0ms (0%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
0.0ms
x
@inf
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
0.0ms
x
@-inf
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
0.0ms
x
@-inf
(cbrt.f64 (*.f64 x 1/3))
0.0ms
x
@inf
(cbrt.f64 (*.f64 x 1/3))

rewrite61.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1732×add-sqr-sqrt
1710×*-un-lft-identity
1592×add-cube-cbrt
1572×add-cbrt-cube
194×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
121235
2237835
Stop Event
1×node limit
Counts
3 → 73
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(cbrt.f64 (*.f64 x 1/3))
(*.f64 x 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/3) 1/6) (*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 (*.f64 x 1/3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/9)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 x)) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x 1/3))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 1/3) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/3) 1/6) (pow.f64 (*.f64 x 1/3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 1/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))))

simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
678×distribute-lft-in
666×distribute-rgt-in
648×log-prod
628×*-commutative
570×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01411127
12791121
212841121
344721121
Stop Event
1×node limit
Counts
85 → 85
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 (*.f64 x 1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (cbrt.f64 (*.f64 x 1/9)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 1/9)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/9))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 x)) (cbrt.f64 1/3))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(*.f64 (pow.f64 (*.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x 1/3))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (pow.f64 (*.f64 x x) 1/3) (cbrt.f64 1/9))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)
(pow.f64 (*.f64 x 1/3) 2/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 3)
(sqrt.f64 (*.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x 1/3))))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3)))) 1)
(*.f64 (cbrt.f64 (*.f64 x 1/3)) 1)
(*.f64 1 (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (pow.f64 (*.f64 x 1/3) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x 1/9))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 1/3)) 1/3))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2)
(pow.f64 (*.f64 x 1/3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1)
(pow.f64 (pow.f64 (*.f64 x 1/3) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(fabs.f64 (cbrt.f64 (*.f64 x 1/3)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/3)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(fabs.f64 (*.f64 x 1/3))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (cbrt.f64 (*.f64 x 1/3))))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 (*.f64 x 1/3) 1/6))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 2))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (*.f64 x 1/3))))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (cbrt.f64 (*.f64 x 1/9)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 1/9)))
(*.f64 (cbrt.f64 (*.f64 x 1/9)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/3) (cbrt.f64 (*.f64 x 1/3))))
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/9))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 x)) (cbrt.f64 1/3))
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (pow.f64 (*.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x 1/3))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (cbrt.f64 (*.f64 x (*.f64 1/3 (cbrt.f64 (*.f64 1/3 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 4)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (pow.f64 (*.f64 x x) 1/3) (cbrt.f64 1/9))
(*.f64 (cbrt.f64 1/9) (cbrt.f64 (*.f64 x x)))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(pow.f64 (*.f64 x 1/3) 2/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 3)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(sqrt.f64 (*.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x 1/3))))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 1))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (*.f64 x (*.f64 x 1/9)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3)))) 1)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (cbrt.f64 (*.f64 x 1/3)) 1)
(cbrt.f64 (*.f64 1/3 x))
(*.f64 1 (cbrt.f64 (*.f64 x 1/3)))
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (pow.f64 (*.f64 x 1/3) 1/6) (pow.f64 (*.f64 x 1/3) 1/6))
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x 1/9))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/9))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 1/3)))
(cbrt.f64 (*.f64 1/3 x))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 1/3)) 1/3))
(cbrt.f64 (*.f64 1/3 x))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2)
(cbrt.f64 (*.f64 1/3 x))
(pow.f64 (*.f64 x 1/3) 1/3)
(cbrt.f64 (*.f64 1/3 x))
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1)
(cbrt.f64 (*.f64 1/3 x))
(pow.f64 (pow.f64 (*.f64 x 1/3) 1/6) 2)
(cbrt.f64 (*.f64 1/3 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3)
(cbrt.f64 (*.f64 1/3 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(cbrt.f64 (*.f64 1/3 x))
(fabs.f64 (cbrt.f64 (*.f64 x 1/3)))
(cbrt.f64 (*.f64 1/3 x))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 1/3 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/3)))))
(cbrt.f64 (*.f64 1/3 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 1/3 x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 1/3 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1/3))
(cbrt.f64 (*.f64 1/3 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 1))
(cbrt.f64 (*.f64 1/3 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 1/3 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 1/3 x)
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 1/3 x)
(fabs.f64 (*.f64 x 1/3))
(*.f64 1/3 x)
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.58%
(*.f64 x 1/9)
✓1.04%
(cbrt.f64 (*.f64 x 1/9))
✓1.16%
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)
✓43.94%
(sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

series12.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)))
2.0ms
x
@0
(sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)))
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1766×add-sqr-sqrt
1732×*-un-lft-identity
1636×add-cube-cbrt
1618×add-cbrt-cube
184×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
122635
2235135
Stop Event
1×node limit
Counts
3 → 79
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)))
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)
(cbrt.f64 (*.f64 x 1/9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 1/4) (pow.f64 (*.f64 x (*.f64 x 1/9)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/9)) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/9) 1/6) (*.f64 (pow.f64 (*.f64 x 1/9) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (cbrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/9) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) 1) (cbrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (pow.f64 (*.f64 x 1/9) 1/6)) (pow.f64 (*.f64 x 1/9) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (cbrt.f64 x)) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x 1/9) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x 1/9) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2) 3) (cbrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/9)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/9) 1/6) (pow.f64 (*.f64 x 1/9) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1/3) (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/9) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/9))))))))

simplify60.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1570×associate-+r+
1450×associate-+l+
976×unswap-sqr
522×distribute-lft-neg-in
518×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01681273
13491261
210521247
336531247
Stop Event
1×node limit
Counts
91 → 93
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/9) x)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/9) x)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/9) x)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/9) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))) 1)
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))) 1)
(*.f64 1 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 1/4) (pow.f64 (*.f64 x (*.f64 x 1/9)) 1/4))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 1/3 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 1/2))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/9))) 1)
(*.f64 x 1/9)
(*.f64 x (pow.f64 (cbrt.f64 1/9) 3))
(*.f64 1/9 x)
(*.f64 (cbrt.f64 (*.f64 x 1/9)) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2))
(*.f64 (*.f64 x 1/9) 1)
(*.f64 1 (*.f64 x 1/9))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 x 1/9) 1/6) (*.f64 (pow.f64 (*.f64 x 1/9) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/9))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (cbrt.f64 (*.f64 x 1/9)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/9) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/9))
(*.f64 (*.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) 1) (cbrt.f64 (*.f64 x 1/9)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (pow.f64 (*.f64 x 1/9) 1/6)) (pow.f64 (*.f64 x 1/9) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (cbrt.f64 x)) (cbrt.f64 1/9))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 1/9) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x 1/9) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2) 3) (cbrt.f64 (*.f64 x 1/9)))
(sqrt.f64 (*.f64 1/81 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/9) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/9))))
(cbrt.f64 (pow.f64 (*.f64 x 1/9) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/9)))
(exp.f64 (log.f64 (*.f64 x 1/9)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/9)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/9)))) 1)
(*.f64 (cbrt.f64 (*.f64 x 1/9)) 1)
(*.f64 1 (cbrt.f64 (*.f64 x 1/9)))
(*.f64 (pow.f64 (*.f64 x 1/9) 1/6) (pow.f64 (*.f64 x 1/9) 1/6))
(*.f64 (cbrt.f64 1/9) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/9))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 1/9)))
(*.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1/3) (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1/3))
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 1)
(pow.f64 (*.f64 x 1/9) 1/3)
(pow.f64 (pow.f64 (*.f64 x 1/9) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/9)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/9))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/9))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/9))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/9))))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/9) x)))
(neg.f64 (*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 -1/9))))
(*.f64 (*.f64 x (sqrt.f64 -1/9)) (neg.f64 (sqrt.f64 -1)))
(*.f64 x (*.f64 (sqrt.f64 -1/9) (neg.f64 (sqrt.f64 -1))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/9) x)))
(neg.f64 (*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 -1/9))))
(*.f64 (*.f64 x (sqrt.f64 -1/9)) (neg.f64 (sqrt.f64 -1)))
(*.f64 x (*.f64 (sqrt.f64 -1/9) (neg.f64 (sqrt.f64 -1))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/9) x)))
(neg.f64 (*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 -1/9))))
(*.f64 (*.f64 x (sqrt.f64 -1/9)) (neg.f64 (sqrt.f64 -1)))
(*.f64 x (*.f64 (sqrt.f64 -1/9) (neg.f64 (sqrt.f64 -1))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/9) x)))
(neg.f64 (*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 -1/9))))
(*.f64 (*.f64 x (sqrt.f64 -1/9)) (neg.f64 (sqrt.f64 -1)))
(*.f64 x (*.f64 (sqrt.f64 -1/9) (neg.f64 (sqrt.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))) 1)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))) 1)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 1 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 1/4) (pow.f64 (*.f64 x (*.f64 x 1/9)) 1/4))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/3 x)
(*.f64 (sqrt.f64 x) (*.f64 1/3 (sqrt.f64 x)))
(*.f64 1/3 x)
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (*.f64 x 1/9))))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))) 1)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 1/4) 2)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))) 3)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9))))))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))) 1))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/9)))))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/9))) 1)
(*.f64 x 1/9)
(*.f64 x 1/9)
(*.f64 x (pow.f64 (cbrt.f64 1/9) 3))
(*.f64 x 1/9)
(*.f64 1/9 x)
(*.f64 x 1/9)
(*.f64 (cbrt.f64 (*.f64 x 1/9)) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2))
(*.f64 x 1/9)
(*.f64 (*.f64 x 1/9) 1)
(*.f64 x 1/9)
(*.f64 1 (*.f64 x 1/9))
(*.f64 x 1/9)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (*.f64 1/3 (sqrt.f64 x)))
(*.f64 x 1/9)
(*.f64 (pow.f64 (*.f64 x 1/9) 1/6) (*.f64 (pow.f64 (*.f64 x 1/9) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2)))
(*.f64 x 1/9)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/9))
(*.f64 x 1/9)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (cbrt.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2)))
(*.f64 x 1/9)
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/9) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2)))
(*.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2))
(*.f64 (cbrt.f64 1/9) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/9))
(*.f64 x 1/9)
(*.f64 (*.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x 1/9)
(*.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x 1/9)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) 1) (cbrt.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (pow.f64 (*.f64 x 1/9) 1/6)) (pow.f64 (*.f64 x 1/9) 1/6))
(*.f64 x 1/9)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))))
(*.f64 x 1/9)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (cbrt.f64 x)) (cbrt.f64 1/9))
(*.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2))
(*.f64 (cbrt.f64 1/9) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 1/9) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x 1/9) 1/6) 3))
(*.f64 x 1/9)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2) 3) (cbrt.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(sqrt.f64 (*.f64 1/81 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 1/81)))
(fabs.f64 (*.f64 x 1/9))
(log.f64 (pow.f64 (exp.f64 1/9) x))
(*.f64 x 1/9)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/9))))
(*.f64 x 1/9)
(cbrt.f64 (pow.f64 (*.f64 x 1/9) 3))
(*.f64 x 1/9)
(expm1.f64 (log1p.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(exp.f64 (log.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1))
(*.f64 x 1/9)
(log1p.f64 (expm1.f64 (*.f64 x 1/9)))
(*.f64 x 1/9)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/9)))) 1)
(cbrt.f64 (*.f64 x 1/9))
(*.f64 (cbrt.f64 (*.f64 x 1/9)) 1)
(cbrt.f64 (*.f64 x 1/9))
(*.f64 1 (cbrt.f64 (*.f64 x 1/9)))
(cbrt.f64 (*.f64 x 1/9))
(*.f64 (pow.f64 (*.f64 x 1/9) 1/6) (pow.f64 (*.f64 x 1/9) 1/6))
(cbrt.f64 (*.f64 x 1/9))
(*.f64 (cbrt.f64 1/9) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2))
(cbrt.f64 (*.f64 x 1/9))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) 1/3))
(cbrt.f64 (*.f64 x 1/9))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))))
(cbrt.f64 (*.f64 x 1/9))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/9))
(*.f64 (cbrt.f64 1/9) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))))
(cbrt.f64 (*.f64 x 1/9))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 1/9)))
(cbrt.f64 (*.f64 x 1/9))
(*.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1/3) (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1/3))
(*.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))))
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 1)
(cbrt.f64 (*.f64 x 1/9))
(pow.f64 (*.f64 x 1/9) 1/3)
(cbrt.f64 (*.f64 x 1/9))
(pow.f64 (pow.f64 (*.f64 x 1/9) 1/6) 2)
(cbrt.f64 (*.f64 x 1/9))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/9))) 3)
(cbrt.f64 (*.f64 x 1/9))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 2))
(cbrt.f64 (*.f64 x 1/9))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/9))))
(cbrt.f64 (*.f64 x 1/9))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/9)))))
(cbrt.f64 (*.f64 x 1/9))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/9))))
(cbrt.f64 (*.f64 x 1/9))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/9))))
(cbrt.f64 (*.f64 x 1/9))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/9))) 1))
(cbrt.f64 (*.f64 x 1/9))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1/3))
(cbrt.f64 (*.f64 x 1/9))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/9))))
(cbrt.f64 (*.f64 x 1/9))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.31%
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
✓0.5%
(cbrt.f64 (sqrt.f64 (*.f64 1/3 x)))
0.54%
(*.f64 1/3 x)
0.99%
(cbrt.f64 (*.f64 1/3 x))
Compiler

Compiled 43 to 33 computations (23.3% saved)

series70.0ms (0.6%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
28.0ms
x
@0
(cbrt.f64 (sqrt.f64 (*.f64 1/3 x)))
26.0ms
x
@0
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
7.0ms
x
@inf
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
6.0ms
x
@inf
(cbrt.f64 (sqrt.f64 (*.f64 1/3 x)))
2.0ms
x
@-inf
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))

rewrite97.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1638×add-sqr-sqrt
1612×*-un-lft-identity
1504×add-cube-cbrt
1484×add-cbrt-cube
178×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01042
119126
2219526
Stop Event
1×node limit
Counts
2 → 41
Calls
Call 1
Inputs
(cbrt.f64 (sqrt.f64 (*.f64 1/3 x)))
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 1/3)) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/3)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 1/3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 1/3 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 1/3 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 1/3 x) 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 5/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (*.f64 1/3 x) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 1/3 x) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 1/3 x) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 5/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 1/3 x) 5/6)))))))

simplify68.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
984×*-commutative
858×associate-*r*
772×associate-*l*
590×distribute-lft-in
550×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01221365
12491365
26711365
331011351
466791351
Stop Event
1×node limit
Counts
65 → 56
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 1/6))) 1)
(*.f64 1 (pow.f64 (*.f64 1/3 x) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/6))
(*.f64 (pow.f64 (*.f64 1/3 x) 1/6) 1)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)))
(*.f64 (sqrt.f64 (cbrt.f64 1/3)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (*.f64 1/3 x) 1/6))
(*.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 1/3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(pow.f64 (*.f64 1/3 x) 1/6)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/6) 2)
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 3)
(sqrt.f64 (cbrt.f64 (*.f64 1/3 x)))
(fabs.f64 (pow.f64 (*.f64 1/3 x) 1/6))
(log.f64 (exp.f64 (pow.f64 (*.f64 1/3 x) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 1/3 x) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 1/6)))
(exp.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 1/6)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 1/3 x) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 5/6))) 1)
(pow.f64 (*.f64 1/3 x) 5/6)
(pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 1)
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 1/3 x) 5/6)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 5/6)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 1/3 x) 5/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 1/3 x) 5/6))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 5/6)))
(exp.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 5/6)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 5/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 1/3 x) 5/6)))
Outputs
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (pow.f64 x 1/6))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 1 (sqrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 5) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (pow.f64 x 5) 1/6) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 5) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (pow.f64 x 5) 1/6) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 5) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (pow.f64 x 5) 1/6) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 5) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (pow.f64 x 5) 1/6) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 5) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (pow.f64 x 5) 1/6) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 5) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (pow.f64 x 5) 1/6) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 5) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (pow.f64 x 5) 1/6) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 5) 1/6) (*.f64 (sqrt.f64 1/3) (cbrt.f64 1/3)))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (pow.f64 x 5) 1/6) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (sqrt.f64 -1/3) (*.f64 (cbrt.f64 -1/3) (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6)))
(*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (sqrt.f64 -1/3) (*.f64 (cbrt.f64 -1/3) (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6)))
(*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (sqrt.f64 -1/3) (*.f64 (cbrt.f64 -1/3) (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6)))
(*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6) (*.f64 (sqrt.f64 -1/3) (cbrt.f64 -1/3)))
(*.f64 (sqrt.f64 -1/3) (*.f64 (cbrt.f64 -1/3) (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6)))
(*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 (neg.f64 (pow.f64 x 5)) 1/6) (cbrt.f64 -1/3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 1/6))) 1)
(pow.f64 (*.f64 1/3 x) 1/6)
(*.f64 1 (pow.f64 (*.f64 1/3 x) 1/6))
(pow.f64 (*.f64 1/3 x) 1/6)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/6))
(cbrt.f64 (sqrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (*.f64 1/3 x) 1/6) 1)
(pow.f64 (*.f64 1/3 x) 1/6)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))
(*.f64 (sqrt.f64 (cbrt.f64 1/3)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (*.f64 1/3 x) 1/6))
(pow.f64 (*.f64 1/3 x) 1/6)
(*.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 1/3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/4)) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/4)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 1/6) 4)
(*.f64 (pow.f64 (sqrt.f64 1/3) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 1/3)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 1/3 x) 1/6)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3)
(cbrt.f64 (sqrt.f64 (*.f64 1/3 x)))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 1/3 x)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/6) 2)
(cbrt.f64 (sqrt.f64 (*.f64 1/3 x)))
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 1)
(pow.f64 (*.f64 1/3 x) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 3)
(pow.f64 (*.f64 1/3 x) 1/6)
(sqrt.f64 (cbrt.f64 (*.f64 1/3 x)))
(fabs.f64 (pow.f64 (*.f64 1/3 x) 1/6))
(pow.f64 (*.f64 1/3 x) 1/6)
(log.f64 (exp.f64 (pow.f64 (*.f64 1/3 x) 1/6)))
(pow.f64 (*.f64 1/3 x) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 1/3 x) 1/6))))
(pow.f64 (*.f64 1/3 x) 1/6)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 1/6)))
(pow.f64 (*.f64 1/3 x) 1/6)
(exp.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 1/6)))
(pow.f64 (*.f64 1/3 x) 1/6)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))) 1/3))
(cbrt.f64 (sqrt.f64 (*.f64 1/3 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 1))
(pow.f64 (*.f64 1/3 x) 1/6)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 1/3 x) 1/6)))
(pow.f64 (*.f64 1/3 x) 1/6)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 5/6))) 1)
(pow.f64 (*.f64 1/3 x) 5/6)
(pow.f64 (*.f64 1/3 x) 5/6)
(pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 1)
(pow.f64 (*.f64 1/3 x) 5/6)
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 1/3 x) 5/6)) 2)
(pow.f64 (*.f64 1/3 x) 5/6)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 5/6)) 3)
(pow.f64 (*.f64 1/3 x) 5/6)
(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 3) 1/3)
(pow.f64 (*.f64 1/3 x) 5/6)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 2))
(pow.f64 (*.f64 1/3 x) 5/6)
(log.f64 (exp.f64 (pow.f64 (*.f64 1/3 x) 5/6)))
(pow.f64 (*.f64 1/3 x) 5/6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 1/3 x) 5/6))))
(pow.f64 (*.f64 1/3 x) 5/6)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 5/6) 3))
(pow.f64 (*.f64 1/3 x) 5/6)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 5/6)))
(pow.f64 (*.f64 1/3 x) 5/6)
(exp.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 5/6)))
(pow.f64 (*.f64 1/3 x) 5/6)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 x) 5/6)) 1))
(pow.f64 (*.f64 1/3 x) 5/6)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 1/3 x) 5/6)))
(pow.f64 (*.f64 1/3 x) 5/6)

eval206.0ms (1.6%)

Compiler

Compiled 7162 to 5717 computations (20.2% saved)

prune86.0ms (0.7%)

Pruning

28 alts after pruning (18 fresh and 10 done)

PrunedKeptTotal
New48310493
Fresh189
Picked011
Done099
Total48428512
Error
0.12%
Counts
512 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
9.49%
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 3)
51.12%
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 1/3)) 2)
2.87%
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
✓50.98%
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
3.13%
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)) 3)
✓2.61%
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
✓0.54%
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
✓93.04%
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
4.05%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
4.1%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
3.24%
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 3) (cbrt.f64 (*.f64 x 1/3)))
✓2.58%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
2.62%
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
2.39%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/9)) (cbrt.f64 (*.f64 x 1/3)))
3.05%
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3)))) (cbrt.f64 (*.f64 x 1/3)))
51.79%
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
✓51.49%
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
2.25%
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/9)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x 1/3)))
44.86%
(*.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)))
50.98%
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
45.61%
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3))
✓45.02%
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))
✓0.79%
(*.f64 1/3 x)
67.89%
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
70.82%
(sqrt.f64 (*.f64 x (pow.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (*.f64 1/3 (sqrt.f64 x)))) 3)))
✓68.18%
(sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)))
✓67.9%
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
64.5%
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
Compiler

Compiled 331 to 269 computations (18.7% saved)

regimes45.0ms (0.4%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 1/3)) 2)
(sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/9)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x 1/3)))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)) 3)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/9)) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/3))) 3))
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) 3) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)))
(sqrt.f64 (*.f64 x (pow.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (*.f64 1/3 (sqrt.f64 x)))) 3)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 3)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/3)))) (cbrt.f64 (*.f64 x 1/3)))
Outputs
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
Calls

2 calls:

13.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.54%1x
0.54%1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 352 to 271 computations (23% saved)

regimes4.0ms (0%)

Accuracy

Total -59.0b remaining (-11661.7%)

Threshold costs -59b (-11661.7%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.79%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
6×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
(*.f64 1/3 x)
Outputs
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (*.f64 x (*.f64 x x))))
(*.f64 1/3 x)
Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness0.0ms (0%)

end17.0ms (0.1%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

Profiling

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